commit ad93d4f1066f9a1d28ca544429c56d76f7783b3b Author: Thomas Dehaeze Date: Sun Jun 14 12:23:45 2020 +0200 Initial Commit diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..fdf71f9 --- /dev/null +++ b/.gitignore @@ -0,0 +1,36 @@ +auto/ +*.tex + +nohup.out + +**/figs/*.svg +**/figs/*.tex + +# Windows default autosave extension +*.asv + +# OSX / *nix default autosave extension +*.m~ + +# Compiled MEX binaries (all platforms) +*.mex* + +# Packaged app and toolbox files +*.mlappinstall +*.mltbx + +# Generated helpsearch folders +helpsearch*/ + +# Simulink code generation folders +slprj/ +sccprj/ + +# Simulink autosave extension +*.autosave + +# Octave session info +octave-workspace + +# Simulink Cache +*.slxc diff --git a/css/htmlize.css b/css/htmlize.css new file mode 100644 index 0000000..0b32a03 --- /dev/null +++ b/css/htmlize.css @@ -0,0 +1,145 @@ +.org-bold { /* bold */ font-weight: bold; } +.org-bold-italic { /* bold-italic */ font-weight: bold; font-style: italic; } +.org-buffer-menu-buffer { /* buffer-menu-buffer */ font-weight: bold; } +.org-builtin { /* font-lock-builtin-face */ color: #7a378b; } +.org-button { /* button */ text-decoration: underline; } +.org-calendar-today { /* calendar-today */ text-decoration: underline; } +.org-change-log-acknowledgement { /* change-log-acknowledgement */ color: #b22222; } +.org-change-log-conditionals { /* change-log-conditionals */ color: #a0522d; } +.org-change-log-date { /* change-log-date */ color: #8b2252; } +.org-change-log-email { /* change-log-email */ color: #a0522d; } +.org-change-log-file { /* change-log-file */ color: #0000ff; } +.org-change-log-function { /* change-log-function */ color: #a0522d; } +.org-change-log-list { /* change-log-list */ color: #a020f0; } +.org-change-log-name { /* change-log-name */ color: #008b8b; } +.org-comint-highlight-input { /* comint-highlight-input */ font-weight: bold; } +.org-comint-highlight-prompt { /* comint-highlight-prompt */ color: #00008b; } +.org-comment { /* font-lock-comment-face */ color: #999988; font-style: italic; } +.org-comment-delimiter { /* font-lock-comment-delimiter-face */ color: #999988; font-style: italic; } +.org-completions-annotations { /* completions-annotations */ font-style: italic; } +.org-completions-common-part { /* completions-common-part */ color: #000000; background-color: #ffffff; } +.org-completions-first-difference { /* completions-first-difference */ font-weight: bold; } +.org-constant { /* font-lock-constant-face */ color: #008b8b; } +.org-diary { /* diary */ color: #ff0000; } +.org-diff-context { /* diff-context */ color: #7f7f7f; } +.org-diff-file-header { /* diff-file-header */ background-color: #b3b3b3; font-weight: bold; } +.org-diff-function { /* diff-function */ background-color: #cccccc; } +.org-diff-header { /* diff-header */ background-color: #cccccc; } +.org-diff-hunk-header { /* diff-hunk-header */ background-color: #cccccc; } +.org-diff-index { /* diff-index */ background-color: #b3b3b3; font-weight: bold; } +.org-diff-nonexistent { /* diff-nonexistent */ background-color: #b3b3b3; font-weight: bold; } +.org-diff-refine-change { /* diff-refine-change */ background-color: #d9d9d9; } +.org-dired-directory { /* dired-directory */ color: #0000ff; } +.org-dired-flagged { /* dired-flagged */ color: #ff0000; font-weight: bold; } +.org-dired-header { /* dired-header */ color: #228b22; } +.org-dired-ignored { /* dired-ignored */ color: #7f7f7f; } +.org-dired-mark { /* dired-mark */ color: #008b8b; } +.org-dired-marked { /* dired-marked */ color: #ff0000; font-weight: bold; } +.org-dired-perm-write { /* dired-perm-write */ color: #b22222; } +.org-dired-symlink { /* dired-symlink */ color: #a020f0; } +.org-dired-warning { /* dired-warning */ color: #ff0000; font-weight: bold; } +.org-doc { /* font-lock-doc-face */ color: #8b2252; } +.org-escape-glyph { /* escape-glyph */ color: #a52a2a; } +.org-file-name-shadow { /* file-name-shadow */ color: #7f7f7f; } +.org-flyspell-duplicate { /* flyspell-duplicate */ color: #cdad00; font-weight: bold; text-decoration: underline; } +.org-flyspell-incorrect { /* flyspell-incorrect */ color: #ff4500; font-weight: bold; text-decoration: underline; } +.org-fringe { /* fringe */ background-color: #f2f2f2; } +.org-function-name { /* font-lock-function-name-face */ color: teal; } +.org-header-line { /* header-line */ color: #333333; background-color: #e5e5e5; } +.org-help-argument-name { /* help-argument-name */ font-style: italic; } +.org-highlight { /* highlight */ background-color: #b4eeb4; } +.org-holiday { /* holiday */ background-color: #ffc0cb; } +.org-isearch { /* isearch */ color: #b0e2ff; background-color: #cd00cd; } +.org-isearch-fail { /* isearch-fail */ background-color: #ffc1c1; } +.org-italic { /* italic */ font-style: italic; } +.org-keyword { /* font-lock-keyword-face */ color: #0086b3; } +.org-lazy-highlight { /* lazy-highlight */ background-color: #afeeee; } +.org-link { /* link */ color: #0000ff; text-decoration: underline; } +.org-link-visited { /* link-visited */ color: #8b008b; text-decoration: underline; } +.org-log-edit-header { /* log-edit-header */ color: #a020f0; } +.org-log-edit-summary { /* log-edit-summary */ color: #0000ff; } +.org-log-edit-unknown-header { /* log-edit-unknown-header */ color: #b22222; } +.org-match { /* match */ background-color: #ffff00; } +.org-next-error { /* next-error */ background-color: #eedc82; } +.org-nobreak-space { /* nobreak-space */ color: #a52a2a; text-decoration: underline; } +.org-org-archived { /* org-archived */ color: #7f7f7f; } +.org-org-block { /* org-block */ color: #7f7f7f; } +.org-org-block-begin-line { /* org-block-begin-line */ color: #b22222; } +.org-org-block-end-line { /* org-block-end-line */ color: #b22222; } +.org-org-checkbox { /* org-checkbox */ font-weight: bold; } +.org-org-checkbox-statistics-done { /* org-checkbox-statistics-done */ color: #228b22; font-weight: bold; } +.org-org-checkbox-statistics-todo { /* org-checkbox-statistics-todo */ color: #ff0000; font-weight: bold; } +.org-org-clock-overlay { /* org-clock-overlay */ background-color: #ffff00; } +.org-org-code { /* org-code */ color: #7f7f7f; } +.org-org-column { /* org-column */ background-color: #e5e5e5; } +.org-org-column-title { /* org-column-title */ background-color: #e5e5e5; font-weight: bold; text-decoration: underline; } +.org-org-date { /* org-date */ color: #a020f0; text-decoration: underline; } +.org-org-document-info { /* org-document-info */ color: #191970; } +.org-org-document-info-keyword { /* org-document-info-keyword */ color: #7f7f7f; } +.org-org-document-title { /* org-document-title */ color: #191970; font-size: 144%; font-weight: bold; } +.org-org-done { /* org-done */ color: #228b22; font-weight: bold; } +.org-org-drawer { /* org-drawer */ color: #0000ff; } +.org-org-ellipsis { /* org-ellipsis */ color: #b8860b; text-decoration: underline; } +.org-org-footnote { /* org-footnote */ color: #a020f0; text-decoration: underline; } +.org-org-formula { /* org-formula */ color: #b22222; } +.org-org-headline-done { /* org-headline-done */ color: #bc8f8f; } +.org-org-hide { /* org-hide */ color: #ffffff; } +.org-org-latex-and-export-specials { /* org-latex-and-export-specials */ color: #8b4513; } +.org-org-level-1 { /* org-level-1 */ color: #0000ff; } +.org-org-level-2 { /* org-level-2 */ color: #a0522d; } +.org-org-level-3 { /* org-level-3 */ color: #a020f0; } +.org-org-level-4 { /* org-level-4 */ color: #b22222; } +.org-org-level-5 { /* org-level-5 */ color: #228b22; } +.org-org-level-6 { /* org-level-6 */ color: #008b8b; } +.org-org-level-7 { /* org-level-7 */ color: #7a378b; } +.org-org-level-8 { /* org-level-8 */ color: #8b2252; } +.org-org-link { /* org-link */ color: #0000ff; text-decoration: underline; } +.org-org-meta-line { /* org-meta-line */ color: #b22222; } +.org-org-mode-line-clock { /* org-mode-line-clock */ color: #000000; background-color: #bfbfbf; } +.org-org-mode-line-clock-overrun { /* org-mode-line-clock-overrun */ color: #000000; background-color: #ff0000; } +.org-org-quote { /* org-quote */ color: #7f7f7f; } +.org-org-scheduled { /* org-scheduled */ color: #006400; } +.org-org-scheduled-previously { /* org-scheduled-previously */ color: #b22222; } +.org-org-scheduled-today { /* org-scheduled-today */ color: #006400; } +.org-org-sexp-date { /* org-sexp-date */ color: #a020f0; } +.org-org-special-keyword { /* org-special-keyword */ color: #a020f0; } +.org-org-table { /* org-table */ color: #0000ff; } +.org-org-tag { /* org-tag */ font-weight: bold; } +.org-org-target { /* org-target */ text-decoration: underline; } +.org-org-time-grid { /* org-time-grid */ color: #b8860b; } +.org-org-todo { /* org-todo */ color: #ff0000; font-weight: bold; } +.org-org-upcoming-deadline { /* org-upcoming-deadline */ color: #b22222; } +.org-org-verbatim { /* org-verbatim */ color: #7f7f7f; } +.org-org-verse { /* org-verse */ color: #7f7f7f; } +.org-org-warning { /* org-warning */ color: #ff0000; font-weight: bold; } +.org-outline-1 { /* outline-1 */ color: #0000ff; } +.org-outline-2 { /* outline-2 */ color: #a0522d; } +.org-outline-3 { /* outline-3 */ color: #a020f0; } +.org-outline-4 { /* outline-4 */ color: #b22222; } +.org-outline-5 { /* outline-5 */ color: #228b22; } +.org-outline-6 { /* outline-6 */ color: #008b8b; } +.org-outline-7 { /* outline-7 */ color: #7a378b; } +.org-outline-8 { /* outline-8 */ color: #8b2252; } +.org-preprocessor { /* font-lock-preprocessor-face */ color: #7a378b; } +.org-query-replace { /* query-replace */ color: #b0e2ff; background-color: #cd00cd; } +.org-regexp-grouping-backslash { /* font-lock-regexp-grouping-backslash */ font-weight: bold; } +.org-regexp-grouping-construct { /* font-lock-regexp-grouping-construct */ font-weight: bold; } +.org-region { /* region */ background-color: #eedc82; } +.org-secondary-selection { /* secondary-selection */ background-color: #ffff00; } +.org-shadow { /* shadow */ color: #7f7f7f; } +.org-show-paren-match { /* show-paren-match */ background-color: #40e0d0; } +.org-show-paren-mismatch { /* show-paren-mismatch */ color: #ffffff; background-color: #a020f0; } +.org-string { /* font-lock-string-face */ color: #dd1144; } +.org-tool-bar { /* tool-bar */ color: #000000; background-color: #bfbfbf; } +.org-tooltip { /* tooltip */ color: #000000; background-color: #ffffe0; } +.org-trailing-whitespace { /* trailing-whitespace */ background-color: #ff0000; } +.org-type { /* font-lock-type-face */ color: #228b22; } +.org-underline { /* underline */ text-decoration: underline; } +.org-variable-name { /* font-lock-variable-name-face */ color: teal; } +.org-warning { /* font-lock-warning-face */ color: #ff0000; font-weight: bold; } +.org-widget-button { /* widget-button */ font-weight: bold; } +.org-widget-button-pressed { /* widget-button-pressed */ color: #ff0000; } +.org-widget-documentation { /* widget-documentation */ color: #006400; } +.org-widget-field { /* widget-field */ background-color: #d9d9d9; } +.org-widget-inactive { /* widget-inactive */ color: #7f7f7f; } +.org-widget-single-line-field { /* widget-single-line-field */ background-color: #d9d9d9; } diff --git a/css/readtheorg.css b/css/readtheorg.css new file mode 100644 index 0000000..1690bd0 --- /dev/null +++ b/css/readtheorg.css @@ -0,0 +1,1095 @@ +@import url(https://fonts.googleapis.com/css?family=Lato:400,700,400italic,700italic|Roboto+Slab:400,700|Inconsolata:400,700); +@import url(https://maxcdn.bootstrapcdn.com/font-awesome/4.3.0/css/font-awesome.min.css); + +h1,h2,h3,h4,h5,h6,legend{ + font-family:"Roboto Slab","ff-tisa-web-pro","Georgia",Arial,sans-serif; + font-weight:700; + margin-top:0; +} + +h1{ + font-size:175%; +} + +.subtitle{ + font-size:95%; /* of h1 */ +} + +h2{ + font-size:150%; +} + +h3{ + font-size:125%; +} + +h4{ + font-size:115%; +} + +h5{ + font-size:110%; +} + +h6{ + font-size:100%; +} + +h4,h5,h6{ + color:#2980B9; + font-weight:300; +} + +html{ + -ms-text-size-adjust:100%; + -webkit-text-size-adjust:100%; + font-size:100%; + height:100%; + overflow-x:hidden; +} + +body{ + background:#edf0f2; + color:#404040; + font-family:"Lato","proxima-nova","Helvetica Neue",Arial,sans-serif; + font-weight:normal; + margin:0; + min-height:100%; + overflow-x:hidden; +} + +#content{ + background:#fcfcfc; + height:100%; + margin-left:300px; + /* margin:auto; */ + max-width:1200px; + min-height:100%; + padding:1.618em 3.236em; +} + +p{ + font-size:16px; + line-height:24px; + margin:0px 0px 24px 0px; +} + +b,strong{ + font-weight:bold} + +blockquote{ + background-color: #F0F0F0; + border-left:5px solid #CCCCCC; + font-style:italic; + line-height:24px; + margin:0px 0px 24px 0px; + /* margin-left:24px; */ + padding: 6px 20px; +} + +ul,ol,dl{ + line-height:24px; + list-style-image:none; + /* list-style:none; */ + margin:0px 0px 24px 0px; + padding:0; +} + +li{ + margin-left: 24px; +} + +dd{ + margin:0; +} + +#content .section ul,#content .toctree-wrapper ul,article ul{ + list-style:disc; + line-height:24px; + margin-bottom:24px} + +#content .section ul li,#content .toctree-wrapper ul li,article ul li{ + list-style:disc; + margin-left:24px} + +#content .section ul li p:last-child,#content .toctree-wrapper ul li p:last-child,article ul li p:last-child{ + margin-bottom:0} + +#content .section ul li ul,#content .toctree-wrapper ul li ul,article ul li ul{ + margin-bottom:0} + +#content .section ul li li,#content .toctree-wrapper ul li li,article ul li li{ + list-style:circle} + +#content .section ul li li li,#content .toctree-wrapper ul li li li,article ul li li li{ + list-style:square} + +#content .section ul li ol li,#content .toctree-wrapper ul li ol li,article ul li ol li{ + list-style:decimal} + +#content .section ol,#content ol,article ol{ + list-style:decimal; + line-height:24px; + margin-bottom:24px} + +#content .section ol li,#content ol li,article ol li{ + list-style:decimal; + margin-left:24px} + +#content .section ol li p:last-child,#content ol li p:last-child,article ol li p:last-child{ + margin-bottom:0} + +#content .section ol li ul,#content ol li ul,article ol li ul{ + margin-bottom:0} + +#content .section ol li ul li,#content ol li ul li,article ol li ul li{ + list-style:disc} + +dl dt{ + font-weight:bold; +} + +dl p,dl table,dl ul,dl ol{ + margin-bottom:12px !important; +} + +dl dd{ + margin:0 0 12px 24px; +} + +@media print{ + .codeblock,pre.src{ + white-space:pre.src-wrap} +} + +@media print{ + html,body,section{ + background:none !important} + + *{ + box-shadow:none !important; + text-shadow:none !important; + filter:none !important; + -ms-filter:none !important} + + a,a:visited{ + text-decoration:underline} + + pre.src,blockquote{ + page-break-inside:avoid} + + thead{ + display:table-header-group} + + tr,img{ + page-break-inside:avoid} + + img{ + max-width:100% !important} + + @page{ + margin:0.5cm} + + p,h2,h3{ + orphans:3; + widows:3} + + h2,h3{ + page-break-after:avoid} +} + +@media print{ + #postamble{ + display:none} + + #content{ + margin-left:0} +} + +@media print{ + #table-of-contents{ + display:none} + + @page{ + size: auto; + margin: 25mm 25mm 25mm 25mm;} + + body { + margin: 0px;} +} + +@media screen and (max-width: 768px){ +} + +@media only screen and (max-width: 480px){ +} + +@media screen and (max-width: 768px){ + .tablet-hide{ + display:none} +} + +@media screen and (max-width: 480px){ + .mobile-hide{ + display:none} +} + +@media screen and (max-width: 480px){ +} + +@media screen and (max-width: 768px){ + #content{ + margin-left:0} + + #content #content{ + padding:1.618em} + + #content.shift{ + position:fixed; + min-width:100%; + left:85%; + top:0; + height:100%; + overflow:hidden} +} + +@media screen and (min-width: 1400px){ + #content{ + background:rgba(0,0,0,0.05)} + + #content{ + background:#fcfcfc} +} + +@media screen and (max-width: 768px){ + #copyright{ + width:85%; + display:none} + + #copyright.shift{ + display:block} + + img{ + width:100%; + height:auto} +} + +@media screen and (max-width: 480px){ + #content .sidebar{ + width:100%} +} + +code{ + background:#fff; + border:solid 1px #e1e4e5; + /* color:#000; for clickable code */ + font-family:Consolas,"Andale Mono WT","Andale Mono","Lucida Console","Lucida Sans Typewriter","DejaVu Sans Mono","Bitstream Vera Sans Mono","Liberation Mono","Nimbus Mono L",Monaco,"Courier New",Courier,monospace; + font-size:75%; + max-width:100%; + overflow-x:auto; + padding:0 5px; + white-space:nowrap; +} + +.codeblock-example{ + border:1px solid #e1e4e5; + border-bottom:none; + padding:24px; + padding-top:48px; + font-weight:500; + background:#fff; + position:relative} + +.codeblock-example:after{ + content:"Example"; + position:absolute; + top:0px; + left:0px; + background:#9B59B6; + color:#fff; + padding:6px 12px} + +.codeblock-example.prettyprint-example-only{ + border:1px solid #e1e4e5; + margin-bottom:24px} + +.codeblock,pre.src,#content .literal-block{ + border:1px solid #e1e4e5; + padding:12px; + overflow-x:auto; + background:#fff; + margin:1px 0 24px 0} + +pre.src{ + /* color:#404040; */ + display:block; + font-family:Consolas,"Andale Mono WT","Andale Mono","Lucida Console","Lucida Sans Typewriter","DejaVu Sans Mono","Bitstream Vera Sans Mono","Liberation Mono","Nimbus Mono L",Monaco,"Courier New",Courier,monospace; + font-size:12px; + line-height:1.5; + margin:1px 0px 24px 0px; + overflow:auto; + padding:12px; + white-space:pre; +} + +.example{ + background:#f3f6f6; + border:1px solid #e1e4e5; + color:#404040; + font-size: 12px; + line-height: 1.5; + margin-bottom:24px; + padding:12px; +} + +table{ + border-collapse:collapse; + border-spacing:0; + empty-cells:show; + margin-bottom:24px; + border-bottom:1px solid #e1e4e5; +} + +td{ + vertical-align:top} + +table td,table th{ + font-size:90%; + margin:0; + overflow:visible; + padding:8px 16px; + background-color:white; + border:1px solid #e1e4e5; +} + +table thead th{ + font-weight:bold; + border-top:3px solid #e1e4e5; + border-bottom:1px solid #e1e4e5; +} + +table caption{ + color:#000; + font:italic 85%/1 arial,sans-serif; + padding:1em 0; +} + +table tr:nth-child(2n-1) td{ + background-color:#f3f6f6; +} + +table tr:nth-child(2n) td{ + background-color:white; +} + +.figure p{ + color:#000; + font:italic 85%/1 arial,sans-serif; + padding:1em 0; +} + +.rotate-90{ + -webkit-transform:rotate(90deg); + -moz-transform:rotate(90deg); + -ms-transform:rotate(90deg); + -o-transform:rotate(90deg); + transform:rotate(90deg); +} + +.rotate-270{ + -webkit-transform:rotate(270deg); + -moz-transform:rotate(270deg); + -ms-transform:rotate(270deg); + -o-transform:rotate(270deg); + transform:rotate(270deg); +} + +#toggle-sidebar, +#table-of-contents .close-sidebar { + display: none; +} + +@media screen and (max-width: 768px) { + #table-of-contents { + display: none; + width: 60%; + } + + #table-of-contents h2 a { + display: block; + } + + #table-of-contents:target { + display: block; + } + + #copyright, #postamble { + display: none; + } + + #toggle-sidebar { + background-color: #2980B9; + display: block; + margin-bottom: 1.6em; + padding: 0.6em; + text-align: center; + } + + #toggle-sidebar h2 { + background-color:#2980B9; + width:100%; + height:50px; + left:0; + top:0; + color: white; + font-size: 100%; + line-height: 50px; + position:fixed; + margin: 0; + padding: 0; + opacity:0.7; + } + + #table-of-contents .close-sidebar { + color: rgba(255, 255, 255, 0.3); + display: inline-block; + margin: 0px 10px 0px 45px; + padding: 10px; + } +} + +*{ + -webkit-box-sizing:border-box; + -moz-box-sizing:border-box; + box-sizing:border-box; +} + +figcaption,figure,footer,header,hgroup,nav{ + display:block} + +ins{ + background:#ff9; + color:#000; + text-decoration:none} + +mark{ + background:#ff0; + color:#000; + font-style:italic; + font-weight:bold} + +small{ + font-size:85%} + +sub,sup{ + font-size:75%; + line-height:0; + 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url(dialog-todo.png) no-repeat 10px 8px; */ + border: 3px solid #FFEB8E; + /* border-right-style: none; */ + /* border-left-style: none; */ + /* padding: 10px 20px 10px 60px; */ + padding: 9px 12px; + margin-bottom: 24px; + font-family:"Roboto Slab","ff-tisa-web-pro","Georgia",Arial,sans-serif} diff --git a/data/piezo_amplified_3d/FEA_HarmResponse_00kg.txt b/data/piezo_amplified_3d/FEA_HarmResponse_00kg.txt new file mode 100755 index 0000000..8166c4c --- /dev/null +++ b/data/piezo_amplified_3d/FEA_HarmResponse_00kg.txt @@ -0,0 +1,2502 @@ + Frequency [Hz] Amplitude [mm] Phase Angle [] +1 20.992 2.068469e-005 -7.064523e-003 +2 40.98401 2.068732e-005 -1.379566e-002 +3 60.97601 2.069164e-005 -2.05329e-002 +4 80.96801 2.069767e-005 -2.727924e-002 +5 100.96 2.070539e-005 -3.40377e-002 +6 120.952 2.071484e-005 -4.081133e-002 +7 140.944 2.0726e-005 -4.760321e-002 +8 160.936 2.07389e-005 -5.441648e-002 +9 180.928 2.075354e-005 -6.125433e-002 +10 200.92 2.076994e-005 -6.812002e-002 +11 220.912 2.078811e-005 -7.501685e-002 +12 240.904 2.080807e-005 -8.194825e-002 +13 260.896 2.082983e-005 -8.891771e-002 +14 280.888 2.085343e-005 -9.592881e-002 +15 300.88 2.087888e-005 -0.1029853 +16 320.8721 2.090621e-005 -0.110091 +17 340.8641 2.093544e-005 -0.1172498 +18 360.8561 2.09666e-005 -0.124466 +19 380.8481 2.099972e-005 -0.1317437 +20 400.8401 2.103484e-005 -0.1390875 +21 420.8321 2.1072e-005 -0.146502 +22 440.8241 2.111122e-005 -0.153992 +23 460.8161 2.115256e-005 -0.1615628 +24 480.8081 2.119606e-005 -0.1692206 +25 500.8001 2.124176e-005 -0.1769679 +26 520.7921 2.128972e-005 -0.1848138 +27 540.7841 2.133998e-005 -0.1927636 +28 560.7761 2.139262e-005 -0.2008237 +29 580.7681 2.144768e-005 -0.2090013 +30 600.7601 2.150524e-005 -0.2173037 +31 620.7521 2.156536e-005 -0.2257386 +32 640.7441 2.162812e-005 -0.2343146 +33 660.7361 2.16936e-005 -0.2430405 +34 680.7281 2.176189e-005 -0.2519257 +35 700.7201 2.183308e-005 -0.2609804 +36 720.7121 2.190725e-005 -0.2702153 +37 740.7041 2.198453e-005 -0.2796422 +38 760.6961 2.206502e-005 -0.2892734 +39 780.6881 2.214883e-005 -0.2991223 +40 800.6801 2.223611e-005 -0.3092033 +41 820.6721 2.232697e-005 -0.319532 +42 840.6641 2.242158e-005 -0.3301254 +43 860.6561 2.252009e-005 -0.3410003 +44 880.6481 2.262267e-005 -0.3521778 +45 900.6401 2.27295e-005 -0.3636787 +46 920.6321 2.284078e-005 -0.3755263 +47 940.6242 2.295672e-005 -0.3877455 +48 960.6162 2.307756e-005 -0.4003641 +49 980.6082 2.320354e-005 -0.413412 +50 1000.6 2.333493e-005 -0.4269222 +51 1020.592 2.347202e-005 -0.4409309 +52 1040.584 2.361514e-005 -0.4554775 +53 1060.576 2.376463e-005 -0.470606 +54 1080.568 2.392087e-005 -0.4863647 +55 1100.56 2.408427e-005 -0.5028068 +56 1120.552 2.425529e-005 -0.5199918 +57 1140.544 2.443441e-005 -0.5379853 +58 1160.536 2.46222e-005 -0.556861 +59 1180.528 2.481925e-005 -0.5767008 +60 1200.52 2.502622e-005 -0.5975964 +61 1220.512 2.524386e-005 -0.6196512 +62 1240.504 2.547299e-005 -0.6429816 +63 1260.496 2.571451e-005 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+2501 50001. 8.188272e-008 153.3446 diff --git a/data/piezo_amplified_3d/FEA_HarmResponse_10kg.txt b/data/piezo_amplified_3d/FEA_HarmResponse_10kg.txt new file mode 100755 index 0000000..093b73f --- /dev/null +++ b/data/piezo_amplified_3d/FEA_HarmResponse_10kg.txt @@ -0,0 +1,2502 @@ + Frequency [Hz] Amplitude [mm] Phase Angle [] +1 20.992 2.085267e-005 -0.1039923 +2 40.98401 2.13427e-005 -0.2078021 +3 60.97601 2.2201e-005 -0.3215968 +4 80.96801 2.35176e-005 -0.4523577 +5 100.96 2.545207e-005 -0.6104402 +6 120.952 2.829035e-005 -0.8128638 +7 140.944 3.257723e-005 -1.090753 +8 160.936 3.946989e-005 -1.509018 +9 180.928 5.190053e-005 -2.230982 +10 200.92 8.002104e-005 -3.821555 +11 220.912 1.976924e-004 -10.42993 +12 240.904 2.958434e-004 -162.8177 +13 260.896 8.202576e-005 -174.9114 +14 280.888 4.587576e-005 -176.9387 +15 300.88 3.112902e-005 -177.7756 +16 320.8721 2.31678e-005 -178.2348 +17 340.8641 1.821059e-005 -178.5263 +18 360.8561 1.48428e-005 -178.7285 +19 380.8481 1.241591e-005 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b/data/piezo_amplified_3d/piezo_amplified_3d_M.txt new file mode 100755 index 0000000..b16f729 --- /dev/null +++ b/data/piezo_amplified_3d/piezo_amplified_3d_M.txt @@ -0,0 +1,110 @@ + +MAT_M: +[ 1, 1]: 3.223e-02 [ 1, 2]: 1.929e-06 [ 1, 3]:-2.101e-07 [ 1, 4]: 1.047e-08 [ 1, 5]: 1.565e-08 [ 1, 6]: 1.603e-04 [ 1, 7]:-1.414e-03 [ 1, 8]: 2.467e-07 [ 1, 9]:-7.954e-08 [ 1, 10]:-8.840e-10 [ 1, 11]:-4.251e-09 [ 1, 12]: 2.167e-06 [ 1, 13]: 2.131e-03 [ 1, 14]:-4.303e-03 [ 1, 15]: 4.702e-07 [ 1, 16]:-4.279e-09 [ 1, 17]: 5.568e-10 [ 1, 18]:-3.478e-05 [ 1, 19]: 2.578e-04 [ 1, 20]:-7.345e-06 [ 1, 21]: 2.154e-08 [ 1, 22]: 2.790e-10 [ 1, 23]:-2.215e-10 [ 1, 24]:-1.205e-07 [ 1, 25]:-4.642e-06 [ 1, 26]:-6.150e-08 [ 1, 27]: 1.465e-10 [ 1, 28]:-1.976e-12 [ 1, 29]: 6.399e-12 [ 1, 30]:-2.294e-10 [ 1, 31]:-6.746e-08 [ 1, 32]:-5.349e-09 [ 1, 33]:-3.323e-11 [ 1, 34]: 1.692e-14 [ 1, 35]: 1.174e-13 [ 1, 36]: 7.859e-12 [ 1, 37]: 2.107e-09 [ 1, 38]: 2.581e-10 [ 1, 39]:-2.168e-13 [ 1, 40]:-1.567e-16 [ 1, 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All rights reserved. * + * Unauthorized use, distribution or duplication is * + * prohibited. * + * * + * Ansys is a registered trademark of ANSYS, Inc. or its * + * subsidiaries in the United States or other countries. * + * See the ANSYS, Inc. online documentation or the ANSYS, Inc. * + * documentation CD or online help for the complete Legal * + * Notice. * + * * + *************************************************************** + * * + * THIS ANSYS SOFTWARE PRODUCT AND PROGRAM DOCUMENTATION * + * INCLUDE TRADE SECRETS AND CONFIDENTIAL AND PROPRIETARY * + * PRODUCTS OF ANSYS, INC., ITS SUBSIDIARIES, OR LICENSORS. * + * The software products and documentation are furnished by * + * ANSYS, Inc. or its subsidiaries under a software license * + * agreement that contains provisions concerning * + * non-disclosure, copying, length and nature of use, * + * compliance with exporting laws, warranties, disclaimers, * + * limitations of liability, and remedies, and other * + * provisions. The software products and documentation may be * + * used, disclosed, transferred, or copied only in accordance * + * with the terms and conditions of that software license * + * agreement. * + * * + * ANSYS, Inc. is a UL registered * + * ISO 9001:2015 company. * + * * + *************************************************************** + * * + * This product is subject to U.S. laws governing export and * + * re-export. * + * * + * For U.S. Government users, except as specifically granted * + * by the ANSYS, Inc. software license agreement, the use, * + * duplication, or disclosure by the United States Government * + * is subject to restrictions stated in the ANSYS, Inc. * + * software license agreement and FAR 12.212 (for non-DOD * + * licenses). * + * * + *************************************************************** + + 2020 R1 + + Point Releases and Patches installed: + + ANSYS, Inc. Products 2020 R1 + SpaceClaim 2020 R1 + Autodyn 2020 R1 + Aqwa 2020 R1 + Customization Files for User Programmable Features 2020 R1 + Mechanical Products 2020 R1 + Additive 2020 R1 + Viewer 2020 R1 + ACIS Geometry Interface 2020 R1 + AutoCAD Geometry Interface 2020 R1 + Catia, Version 4 Geometry Interface 2020 R1 + Catia, Version 5 Geometry Interface 2020 R1 + Catia, Version 6 Geometry Interface 2020 R1 + Creo Elements/Direct Modeling Geometry Interface 2020 R1 + Creo Parametric Geometry Interface 2020 R1 + Inventor Geometry Interface 2020 R1 + JTOpen Geometry Interface 2020 R1 + NX Geometry Interface 2020 R1 + Parasolid Geometry Interface 2020 R1 + Solid Edge Geometry Interface 2020 R1 + SOLIDWORKS Geometry Interface 2020 R1 + ANSYS, Inc. License Manager 2020 R1 + + + ***** ANSYS COMMAND LINE ARGUMENTS ***** + BATCH MODE REQUESTED (-b) = NOLIST + INPUT FILE COPY MODE (-c) = COPY + DISTRIBUTED MEMORY PARALLEL REQUESTED + 4 PARALLEL PROCESSES REQUESTED WITH SINGLE THREAD PER PROCESS + TOTAL OF 4 CORES REQUESTED + DESIGNXPLORER REQUESTED + INPUT FILE NAME = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687\dummy.dat + OUTPUT FILE NAME = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687\solve.out + START-UP FILE MODE = NOREAD + STOP FILE MODE = NOREAD + + RELEASE= 2020 R1 BUILD= 20.1 UP20191203 VERSION=WINDOWS x64 + CURRENT JOBNAME=file0 15:55:33 JUN 12, 2020 CP= 0.234 + + + PARAMETER _DS_PROGRESS = 999.0000000 + + /INPUT FILE= ds.dat LINE= 0 + + + + *** NOTE *** CP = 0.344 TIME= 15:55:33 + The /CONFIG,NOELDB command is not valid in a Distributed ANSYS + solution. Command is ignored. + + *GET _WALLSTRT FROM ACTI ITEM=TIME WALL VALUE= 15.9258333 + + TITLE= + Piezo-APA95ML-3DElm--Modal (A5) + + + SET PARAMETER DIMENSIONS ON _WB_PROJECTSCRATCH_DIR + TYPE=STRI DIMENSIONS= 248 1 1 + + PARAMETER _WB_PROJECTSCRATCH_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687\ + + SET PARAMETER DIMENSIONS ON _WB_SOLVERFILES_DIR + TYPE=STRI DIMENSIONS= 248 1 1 + + PARAMETER _WB_SOLVERFILES_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\Piezo-APA95ML-3DElm_files\dp0\SYS-3\MECH\ + + SET PARAMETER DIMENSIONS ON _WB_USERFILES_DIR + TYPE=STRI DIMENSIONS= 248 1 1 + + PARAMETER _WB_USERFILES_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\Piezo-APA95ML-3DElm_files\user_files\ + --- Data in consistent NMM units. See Solving Units in the help system for more + + MPA UNITS SPECIFIED FOR INTERNAL + LENGTH = MILLIMETERS (mm) + MASS = TONNE (Mg) + TIME = SECONDS (sec) + TEMPERATURE = CELSIUS (C) + TOFFSET = 273.0 + FORCE = NEWTON (N) + HEAT = MILLIJOULES (mJ) + + INPUT UNITS ARE ALSO SET TO MPA + + *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** + DISTRIBUTED ANSYS Academic Research + + 00208316 VERSION=WINDOWS x64 15:55:33 JUN 12, 2020 CP= 0.344 + + Piezo-APA95ML-3DElm--Modal (A5) + + + + ***** ANSYS ANALYSIS DEFINITION (PREP7) ***** + *********** Nodes for all Remote Points *********** + *********** Send Condensed Parts As Superelements *********** + *********** Include Condensed Part "Condensed Part" *********** + *********** Send User Defined Coordinate System(s) *********** + *********** Set Reference Temperature *********** + *********** Send Materials *********** + *********** Construct Remote Mass Using Remote Attachment *********** + *********** Construct Remote Displacement *********** + *** Create a component for all remote displacements *** + + + ***** ROUTINE COMPLETED ***** CP = 0.406 + + + --- Number of total nodes = 18 + --- Number of contact elements = 0 + --- Number of spring elements = 0 + --- Number of bearing elements = 0 + --- Number of solid elements = 105535 + --- Number of condensed parts = 0 + --- Number of total elements = 2 + + *GET _WALLBSOL FROM ACTI ITEM=TIME WALL VALUE= 15.9258333 + + ***** ANSYS SOLUTION ROUTINE ***** + + + PERFORM A MODAL ANALYSIS + THIS WILL BE A NEW ANALYSIS + + PARAMETER _THICKRATIO = 1.000000000 + + + USE SYM. BLOCK LANCZOS MODE EXTRACTION METHOD + EXTRACT 108 MODES + NORMALIZE THE MODE SHAPES TO THE MASS MATRIX + + ERASE THE CURRENT DATABASE OUTPUT CONTROL TABLE. + + + WRITE ALL ITEMS TO THE DATABASE WITH A FREQUENCY OF NONE + FOR ALL APPLICABLE ENTITIES + + WRITE NSOL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE EANG ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE VENG ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE ETMP ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE STRS ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE EPEL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE EPPL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE RSOL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + SELECT FOR ITEM=D COMPONENT=U BETWEEN 0.0000 AND 0.0000 + KABS= 0. TOLERANCE= 0.100000E-05 + + 1 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. + + ALSO SELECT FOR ITEM=D COMPONENT=ROT BETWEEN 0.0000 AND 0.0000 + KABS= 0. TOLERANCE= 0.100000E-05 + + 1 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. + + SELECT ALL ELEMENTS HAVING ANY NODE IN NODAL SET. + + 1 ELEMENTS (OF 2 DEFINED) SELECTED FROM + 1 SELECTED NODES BY ESLN COMMAND. + + DEFINITION OF COMPONENT = _CONSTRAINEDNODES ENTITY=ELEM + + ALL SELECT FOR ITEM=NODE COMPONENT= + IN RANGE 1 TO 168964 STEP 1 + + 18 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. + + ALL SELECT FOR ITEM=ELEM COMPONENT= + IN RANGE 1 TO 127001 STEP 1 + + 2 ELEMENTS (OF 2 DEFINED) SELECTED BY ESEL COMMAND. + + WRITE NLOA ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR THE ENTITIES DEFINED BY COMPONENT _CONSTRAINEDNODES + + WRITE CONT ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + + EXPAND ALL EXTRACTED MODES + CALCULATE ELEMENT RESULTS AND NODAL DOF SOLUTION + CALCULATE STRESSES IN ANY DOWNSTREAM MODE SUPERPOSITION EXPANSION PASS + + DO NOT COMBINE ELEMENT SAVE DATA FILES (.esav) AFTER DISTRIBUTED PARALLEL SOLUTION + + DO NOT COMBINE ELEMENT MATRIX FILES (.emat) AFTER DISTRIBUTED PARALLEL SOLUTION + + DO NOT COMBINE ASSEMBLED MATRIX FILES (.full) AFTER DISTRIBUTED PARALLEL SOLUTION + + *GET ANSINTER_ FROM ACTI ITEM=INT VALUE= 0.00000000 + + *IF ANSINTER_ ( = 0.00000 ) NE + 0 ( = 0.00000 ) THEN + + *ENDIF + + *** NOTE *** CP = 0.469 TIME= 15:55:33 + The automatic domain decomposition logic has selected the MESH domain + decomposition method with 4 processes per solution. + + ***** ANSYS SOLVE COMMAND ***** + + *** WARNING *** CP = 0.469 TIME= 15:55:33 + Element shape checking is currently inactive. Issue SHPP,ON or + SHPP,WARN to reactivate, if desired. + + *** NOTE *** CP = 0.469 TIME= 15:55:33 + The model data was checked and warning messages were found. + Please review output or errors file ( C:\Users\brumund\Documents + (Local)\ANSYS\NASS\_ProjectScratch\ScrA687\file0.err ) for these + warning messages. + + *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** + DISTRIBUTED ANSYS Academic Research + + 00208316 VERSION=WINDOWS x64 15:55:33 JUN 12, 2020 CP= 0.531 + + Piezo-APA95ML-3DElm--Modal (A5) + + + + S O L U T I O N O P T I O N S + + PROBLEM DIMENSIONALITY. . . . . . . . . . . . .3-D + DEGREES OF FREEDOM. . . . . . UX UY UZ ROTX ROTY ROTZ + ANALYSIS TYPE . . . . . . . . . . . . . . . . .MODAL + EXTRACTION METHOD. . . . . . . . . . . . . .BLOCK LANCZOS + OFFSET TEMPERATURE FROM ABSOLUTE ZERO . . . . . 273.15 + NUMBER OF MODES TO EXTRACT. . . . . . . . . . . 108 + GLOBALLY ASSEMBLED MATRIX . . . . . . . . . . .SYMMETRIC + NUMBER OF MODES TO EXPAND . . . . . . . . . . .ALL + ELEMENT RESULTS CALCULATION . . . . . . . . . .ON + + *** WARNING *** CP = 0.531 TIME= 15:55:33 + Material number 2 (used by element 127001) should normally have at + least one MP or one TB type command associated with it. Output of + energy by material may not be available. + + *** NOTE *** CP = 0.531 TIME= 15:55:33 + The step data was checked and warning messages were found. + Please review output or errors file ( C:\Users\brumund\Documents + (Local)\ANSYS\NASS\_ProjectScratch\ScrA687\file0.err ) for these + warning messages. + + *** NOTE *** CP = 0.594 TIME= 15:55:33 + Internal nodes from 200001 to 200010 are created for component mode + synthesis superelement. Also, the associated SUB files are updated + for the new nodes. + + *** NOTE *** CP = 0.594 TIME= 15:55:33 + The number of CPU processors specified is greater than the number of + elements selected in the model. The number of Distributed ANSYS + processes will be reduced to 2 for this solution. + + + + D I S T R I B U T E D D O M A I N D E C O M P O S E R + + ...Number of elements: 2 + ...Number of nodes: 28 + ...Decompose to 2 CPU domains + + *** NOTE *** CP = 0.594 TIME= 15:55:33 + ANSYS can optimally decompose the model into 2 CPU Domains, which does + not match the total number of processors specified upon startup of + Distributed ANSYS. Distributed parallel processing has been + temporarily modified to only use 2 processes for this solution. + ...Element load balance ratio = 1.000 + + + L O A D S T E P O P T I O N S + + LOAD STEP NUMBER. . . . . . . . . . . . . . . . 1 + THERMAL STRAINS INCLUDED IN THE LOAD VECTOR . . YES + PRINT OUTPUT CONTROLS . . . . . . . . . . . . .NO PRINTOUT + DATABASE OUTPUT CONTROLS + ITEM FREQUENCY COMPONENT + ALL NONE + NSOL ALL + EANG ALL + VENG ALL + ETMP ALL + STRS ALL + EPEL ALL + EPPL ALL + RSOL ALL + NLOA ALL _CONSTRAINEDNODES + CONT ALL + + + + *********** PRECISE MASS SUMMARY *********** + + TOTAL RIGID BODY MASS MATRIX ABOUT ORIGIN + Translational mass | Coupled translational/rotational mass + 0.16382E-03 0.0000 0.0000 | 0.0000 0.55514E-11 -0.29999E-07 + 0.0000 0.16382E-03 0.0000 | -0.55514E-11 0.0000 0.18635E-10 + 0.0000 0.0000 0.16382E-03 | 0.29999E-07 -0.18635E-10 0.0000 + ------------------------------------------ | ------------------------------------------ + | Rotational mass (inertia) + | 0.39922E-01 0.29086E-09 -0.14510E-09 + | 0.29086E-09 0.93584E-01 0.39192E-10 + | -0.14510E-09 0.39192E-10 0.12531 + + TOTAL MASS = 0.16382E-03 + The mass principal axes coincide with the global Cartesian axes + + CENTER OF MASS (X,Y,Z)= 0.11375E-06 0.18311E-03 0.33886E-07 + + TOTAL INERTIA ABOUT CENTER OF MASS + 0.39922E-01 0.29086E-09 -0.14510E-09 + 0.29086E-09 0.93584E-01 0.39193E-10 + -0.14510E-09 0.39193E-10 0.12531 + The inertia principal axes coincide with the global Cartesian axes + + + *** MASS SUMMARY BY ELEMENT TYPE *** + + TYPE MASS + 1 0.163824E-03 + 2 0.100000E-08 + + Range of element maximum matrix coefficients in global coordinates + Maximum = 8.529154772E+10 at element 127000. + Minimum = 8.529154772E+10 at element 127000. + + *** ELEMENT MATRIX FORMULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 1 MATRIX50 0.062 0.062500 + 2 1 MASS21 0.000 0.000000 + Time at end of element matrix formulation CP = 1.046875. + + *** WARNING *** CP = 1.047 TIME= 15:55:33 + The requested number of modes is reduced from 108 to 102 since there + are only 102 degrees of freedom in the model. + + BLOCK LANCZOS CALCULATION OF UP TO 102 EIGENVECTORS. + NUMBER OF EQUATIONS = 102 + MAXIMUM WAVEFRONT = 108 + MAXIMUM MODES STORED = 102 + MINIMUM EIGENVALUE = 0.00000E+00 + MAXIMUM EIGENVALUE = 0.10000E+31 + + + Local memory allocated for solver = 0.369 MB + Local memory required for in-core solution = 0.320 MB + Local memory required for out-of-core solution = 0.320 MB + + Total memory allocated for solver = 0.616 MB + Total memory required for in-core solution = 0.534 MB + Total memory required for out-of-core solution = 0.534 MB + + *** NOTE *** CP = 1.219 TIME= 15:55:33 + The Distributed Sparse Matrix Solver used by the Block Lanczos + eigensolver is currently running in the in-core memory mode. This + memory mode uses the most amount of memory in order to avoid using the + hard drive as much as possible, which most often results in the + fastest solution time. This mode is recommended if enough physical + memory is present to accommodate all of the solver data. + + *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** + DISTRIBUTED ANSYS Academic Research + + 00208316 VERSION=WINDOWS x64 15:55:33 JUN 12, 2020 CP= 1.281 + + Piezo-APA95ML-3DElm--Modal (A5) + + + + *** FREQUENCIES FROM BLOCK LANCZOS ITERATION *** + + MODE FREQUENCY (HERTZ) + + + 1 482.8706328818 + 2 837.2647294522 + 3 1952.120400597 + 4 3060.023885602 + 5 3791.359308381 + 6 3913.453309628 + 7 4394.083597174 + 8 4882.152613685 + 9 6948.413063165 + 10 8005.856711552 + 11 9129.340599414 + 12 9542.316968838 + 13 9567.014390120 + 14 10144.83475054 + 15 11064.02470840 + 16 12564.37753853 + 17 12804.81114371 + 18 13646.83497401 + 19 14240.59935792 + 20 14686.89900851 + 21 16171.06240672 + 22 16746.35450598 + 23 16810.50396741 + 24 19020.15050376 + 25 19555.91443158 + 26 20120.46778378 + 27 21169.99436047 + 28 21462.03276253 + 29 23634.52116864 + 30 23893.22725461 + 31 24856.28295168 + 32 27024.68506467 + 33 27531.89485442 + 34 28157.93034174 + 35 28183.00367766 + 36 28905.94266107 + 37 31222.67860186 + 38 31537.13501400 + 39 32812.43776194 + 40 33240.20597567 + 41 33554.45972827 + 42 35719.48244125 + 43 37256.19961779 + 44 38450.92794507 + 45 38712.77779295 + 46 39956.11338511 + 47 41810.87991331 + 48 42404.71780848 + 49 42877.27655756 + 50 44810.26783686 + 51 46402.03612410 + 52 46997.94668280 + 53 49255.13094278 + 54 52017.06626226 + 55 53564.51418649 + 56 54563.89753389 + 57 55003.88881897 + 58 56666.75977606 + 59 58703.69223350 + 60 60863.78030409 + 61 64252.13868224 + 62 66686.57240891 + 63 67946.81860164 + 64 70993.60341175 + 65 71222.41544028 + 66 76710.54521843 + 67 77329.76569192 + 68 79166.05584424 + 69 80110.42892302 + 70 81966.86244176 + 71 82527.26464498 + 72 84346.14525514 + 73 86792.72636776 + 74 90243.03933958 + 75 90747.95300512 + 76 92986.97767187 + 77 93497.21481976 + 78 95197.04405520 + 79 97508.60762466 + 80 101671.9042449 + 81 103798.6789427 + 82 104870.5105104 + 83 113265.1157352 + 84 116646.2198045 + 85 118247.4159708 + 86 119127.8772478 + 87 121696.1296512 + 88 125022.2552707 + 89 131769.6441448 + 90 134210.7547039 + 91 136729.4493769 + 92 142359.6500853 + 93 143999.0964470 + 94 147909.8563900 + 95 151224.1377965 + 96 151725.6399570 + 97 155168.2231291 + 98 156318.9331188 + 99 156850.0938894 + 100 157001.9709084 + 101 157042.9086226 + 102 168951.9532341 + + *** ELEMENT RESULT CALCULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 1 MATRIX50 0.016 0.015625 + 2 1 MASS21 0.000 0.000000 + + *** NODAL LOAD CALCULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 1 MATRIX50 0.000 0.000000 + 2 1 MASS21 0.000 0.000000 + + *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** + DISTRIBUTED ANSYS Academic Research + + 00208316 VERSION=WINDOWS x64 15:55:34 JUN 12, 2020 CP= 2.562 + + Piezo-APA95ML-3DElm--Modal (A5) + + + + + + ***** PARTICIPATION FACTOR CALCULATION ***** X DIRECTION + CUMULATIVE 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0.253974E-11 + 25 19555.9 0.51135E-04 0.40758E-02 0.017175 0.166120E-04 0.873527 0.132562E-03 + 26 20120.5 0.49701E-04 -0.47016E-06 0.000002 0.221054E-12 0.873527 0.176399E-11 + 27 21170.0 0.47237E-04 0.28188E-06 0.000001 0.794588E-13 0.873527 0.634074E-12 + 28 21462.0 0.46594E-04 -0.12256E-04 0.000052 0.150202E-09 0.873527 0.119860E-08 + 29 23634.5 0.42311E-04 0.82729E-04 0.000349 0.684404E-08 0.873527 0.546149E-07 + 30 23893.2 0.41853E-04 -0.61206E-01 0.257910 0.374612E-02 0.905206 0.298938E-01 + 31 24856.3 0.40231E-04 0.10747E-03 0.000453 0.115501E-07 0.905206 0.921686E-07 + 32 27024.7 0.37003E-04 0.33035E-05 0.000014 0.109134E-10 0.905206 0.870880E-10 + 33 27531.9 0.36322E-04 -0.37022E-05 0.000016 0.137063E-10 0.905206 0.109375E-09 + 34 28157.9 0.35514E-04 0.44775E-04 0.000189 0.200482E-08 0.905206 0.159983E-07 + 35 28183.0 0.35482E-04 0.83241E-01 0.350764 0.692907E-02 0.963802 0.552934E-01 + 36 28905.9 0.34595E-04 0.89372E-05 0.000038 0.798741E-10 0.963802 0.637389E-09 + 37 31222.7 0.32028E-04 -0.66699E-06 0.000003 0.444877E-12 0.963802 0.355008E-11 + 38 31537.1 0.31709E-04 0.32045E-04 0.000135 0.102689E-08 0.963802 0.819448E-08 + 39 32812.4 0.30476E-04 -0.38695E-01 0.163055 0.149731E-02 0.976464 0.119484E-01 + 40 33240.2 0.30084E-04 -0.14397E-04 0.000061 0.207286E-09 0.976464 0.165413E-08 + 41 33554.5 0.29802E-04 -0.15516E-04 0.000065 0.240741E-09 0.976464 0.192110E-08 + 42 35719.5 0.27996E-04 -0.11465E-04 0.000048 0.131449E-09 0.976464 0.104895E-08 + 43 37256.2 0.26841E-04 -0.32795E-06 0.000001 0.107553E-12 0.976464 0.858263E-12 + 44 38450.9 0.26007E-04 -0.14081E-05 0.000006 0.198285E-11 0.976464 0.158230E-10 + 45 38712.8 0.25831E-04 -0.99443E-05 0.000042 0.988882E-10 0.976464 0.789119E-09 + 46 39956.1 0.25027E-04 0.20057E-04 0.000085 0.402291E-09 0.976465 0.321024E-08 + 47 41810.9 0.23917E-04 0.25377E-01 0.106933 0.643972E-03 0.981910 0.513884E-02 + 48 42404.7 0.23582E-04 0.11236E-04 0.000047 0.126256E-09 0.981910 0.100751E-08 + 49 42877.3 0.23322E-04 0.19495E-04 0.000082 0.380045E-09 0.981910 0.303273E-08 + 50 44810.3 0.22316E-04 0.32650E-01 0.137584 0.106605E-02 0.990925 0.850702E-02 + 51 46402.0 0.21551E-04 -0.22456E-02 0.009463 0.504263E-05 0.990968 0.402397E-04 + 52 46997.9 0.21278E-04 0.43579E-02 0.018363 0.189912E-04 0.991129 0.151548E-03 + 53 49255.1 0.20302E-04 0.22364E-05 0.000009 0.500135E-11 0.991129 0.399103E-10 + 54 52017.1 0.19224E-04 -0.42927E-06 0.000002 0.184276E-12 0.991129 0.147051E-11 + 55 53564.5 0.18669E-04 0.19924E-02 0.008396 0.396975E-05 0.991162 0.316782E-04 + 56 54563.9 0.18327E-04 -0.10541E-06 0.000000 0.111103E-13 0.991162 0.886589E-13 + 57 55003.9 0.18181E-04 0.38020E-05 0.000016 0.144554E-10 0.991162 0.115353E-09 + 58 56666.8 0.17647E-04 0.33987E-04 0.000143 0.115510E-08 0.991162 0.921760E-08 + 59 58703.7 0.17035E-04 -0.20101E-02 0.008470 0.404048E-05 0.991196 0.322427E-04 + 60 60863.8 0.16430E-04 -0.70070E-07 0.000000 0.490987E-14 0.991196 0.391803E-13 + 61 64252.1 0.15564E-04 0.52057E-02 0.021936 0.270996E-04 0.991426 0.216252E-03 + 62 66686.6 0.14996E-04 0.61195E-06 0.000003 0.374485E-12 0.991426 0.298836E-11 + 63 67946.8 0.14717E-04 0.18343E-05 0.000008 0.336450E-11 0.991426 0.268485E-10 + 64 70993.6 0.14086E-04 0.15474E-01 0.065205 0.239443E-03 0.993450 0.191074E-02 + 65 71222.4 0.14041E-04 -0.11898E-02 0.005014 0.141573E-05 0.993462 0.112974E-04 + 66 76710.5 0.13036E-04 -0.10856E-05 0.000005 0.117858E-11 0.993462 0.940495E-11 + 67 77329.8 0.12932E-04 -0.14372E-05 0.000006 0.206565E-11 0.993462 0.164837E-10 + 68 79166.1 0.12632E-04 -0.43882E-05 0.000018 0.192565E-10 0.993462 0.153666E-09 + 69 80110.4 0.12483E-04 -0.48924E-06 0.000002 0.239352E-12 0.993462 0.191001E-11 + 70 81966.9 0.12200E-04 0.38667E-02 0.016294 0.149517E-04 0.993589 0.119313E-03 + 71 82527.3 0.12117E-04 0.65960E-08 0.000000 0.435066E-16 0.993589 0.347179E-15 + 72 84346.1 0.11856E-04 -0.65471E-02 0.027589 0.428649E-04 0.993951 0.342058E-03 + 73 86792.7 0.11522E-04 0.49441E-06 0.000002 0.244439E-12 0.993951 0.195060E-11 + 74 90243.0 0.11081E-04 -0.35851E-05 0.000015 0.128528E-10 0.993951 0.102564E-09 + 75 90748.0 0.11020E-04 0.11309E-07 0.000000 0.127902E-15 0.993951 0.102064E-14 + 76 92987.0 0.10754E-04 0.25971E-05 0.000011 0.674480E-11 0.993951 0.538229E-10 + 77 93497.2 0.10696E-04 0.82302E-05 0.000035 0.677363E-10 0.993951 0.540530E-09 + 78 95197.0 0.10505E-04 0.39495E-06 0.000002 0.155987E-12 0.993951 0.124476E-11 + 79 97508.6 0.10256E-04 0.23299E-03 0.000982 0.542866E-07 0.993952 0.433203E-06 + 80 101672. 0.98356E-05 -0.86009E-02 0.036243 0.739762E-04 0.994577 0.590324E-03 + 81 103799. 0.96340E-05 -0.53045E-06 0.000002 0.281380E-12 0.994577 0.224539E-11 + 82 104871. 0.95356E-05 0.16005E-06 0.000001 0.256155E-13 0.994577 0.204410E-12 + 83 113265. 0.88288E-05 -0.78841E-05 0.000033 0.621598E-10 0.994577 0.496030E-09 + 84 116646. 0.85729E-05 0.19660E-05 0.000008 0.386527E-11 0.994577 0.308445E-10 + 85 118247. 0.84568E-05 0.18982E-06 0.000001 0.360317E-13 0.994577 0.287530E-12 + 86 119128. 0.83943E-05 -0.24655E-04 0.000104 0.607877E-09 0.994577 0.485081E-08 + 87 121696. 0.82172E-05 0.49949E-05 0.000021 0.249490E-10 0.994577 0.199091E-09 + 88 125022. 0.79986E-05 0.15521E-01 0.065405 0.240916E-03 0.996615 0.192249E-02 + 89 131770. 0.75890E-05 -0.12428E-06 0.000001 0.154455E-13 0.996615 0.123254E-12 + 90 134211. 0.74510E-05 -0.15027E-04 0.000063 0.225809E-09 0.996615 0.180194E-08 + 91 136729. 0.73137E-05 0.12219E-02 0.005149 0.149294E-05 0.996627 0.119135E-04 + 92 142360. 0.70245E-05 0.19024E-01 0.080165 0.361917E-03 0.999688 0.288807E-02 + 93 143999. 0.69445E-05 -0.44730E-06 0.000002 0.200081E-12 0.999688 0.159663E-11 + 94 147910. 0.67609E-05 -0.56528E-04 0.000238 0.319538E-08 0.999688 0.254989E-07 + 95 151224. 0.66127E-05 -0.37763E-06 0.000002 0.142602E-12 0.999688 0.113795E-11 + 96 151726. 0.65908E-05 -0.41447E-02 0.017465 0.171788E-04 0.999833 0.137086E-03 + 97 155168. 0.64446E-05 -0.29704E-05 0.000013 0.882309E-11 0.999833 0.704075E-10 + 98 156319. 0.63972E-05 0.28209E-07 0.000000 0.795741E-15 0.999833 0.634994E-14 + 99 156850. 0.63755E-05 0.44392E-02 0.018706 0.197062E-04 1.00000 0.157254E-03 + 100 157002. 0.63693E-05 -0.27438E-06 0.000001 0.752823E-13 1.00000 0.600747E-12 + 101 157043. 0.63677E-05 0.10363E-04 0.000044 0.107395E-09 1.00000 0.857003E-09 + 102 168952. 0.59188E-05 -0.11054E-03 0.000466 0.122188E-07 1.00000 0.975050E-07 + ----------------------------------------------------------------------------------------------------------------- + sum 0.118251 0.943636 + ----------------------------------------------------------------------------------------------------------------- + + + + + + *** NOTE *** CP = 2.578 TIME= 15:55:34 + The modes requested are mass normalized (Nrmkey on MODOPT). However, + the modal masses and kinetic energies below are calculated with unit + normalized modes. + + ***** MODAL MASSES, KINETIC ENERGIES, AND TRANSLATIONAL EFFECTIVE MASSES SUMMARY ***** + + EFFECTIVE MASS + MODE FREQUENCY MODAL MASS KENE | X-DIR RATIO% Y-DIR RATIO% Z-DIR RATIO% + 1 482.9 0.7229E-04 332.7 | 0.8884E-04 54.23 0.4374E-13 0.00 0.1982E-12 0.00 + 2 837.3 0.2987E-04 413.3 | 0.1895E-12 0.00 0.4632E-13 0.00 0.9137E-04 55.77 + 3 1952. 0.4889E-04 3678. | 0.4529E-13 0.00 0.1183E-03 72.24 0.1644E-16 0.00 + 4 3060. 0.7641E-04 0.1412E+05 | 0.1799E-12 0.00 0.8131E-13 0.00 0.7806E-13 0.00 + 5 3791. 0.1736E-03 0.4926E+05 | 0.1182E-04 7.21 0.7983E-12 0.00 0.8165E-12 0.00 + 6 3913. 0.5047E-04 0.1526E+05 | 0.1738E-12 0.00 0.5992E-13 0.00 0.4149E-04 25.33 + 7 4394. 0.4617E-04 0.1760E+05 | 0.5754E-12 0.00 0.1811E-04 11.05 0.2545E-12 0.00 + 8 4882. 0.3899E-04 0.1834E+05 | 0.9437E-15 0.00 0.7227E-13 0.00 0.4430E-05 2.70 + 9 6948. 0.1269E-03 0.1210E+06 | 0.2620E-05 1.60 0.3313E-13 0.00 0.4330E-13 0.00 + 10 8006. 0.1006E-03 0.1273E+06 | 0.1179E-11 0.00 0.2829E-05 1.73 0.7549E-14 0.00 + 11 9129. 0.2805E-03 0.4615E+06 | 0.4403E-14 0.00 0.2957E-15 0.00 0.1856E-05 1.13 + 12 9542. 0.9932E-04 0.1785E+06 | 0.5623E-05 3.43 0.1366E-09 0.00 0.1855E-13 0.00 + 13 9567. 0.2415E-03 0.4364E+06 | 0.2431E-08 0.00 0.3654E-06 0.22 0.4166E-13 0.00 + 14 0.1014E+05 0.2572E-03 0.5225E+06 | 0.1184E-12 0.00 0.1832E-13 0.00 0.4186E-13 0.00 + 15 0.1106E+05 0.3324E-04 0.8033E+05 | 0.5180E-14 0.00 0.6887E-15 0.00 0.3418E-14 0.00 + 16 0.1256E+05 0.2739E-03 0.8536E+06 | 0.4291E-13 0.00 0.3998E-14 0.00 0.1393E-05 0.85 + 17 0.1280E+05 0.7150E-04 0.2314E+06 | 0.2186E-11 0.00 0.2524E-07 0.02 0.7798E-14 0.00 + 18 0.1365E+05 0.1002E-03 0.3684E+06 | 0.2505E-04 15.29 0.1039E-14 0.00 0.9612E-14 0.00 + 19 0.1424E+05 0.1113E-02 0.4457E+07 | 0.6759E-12 0.00 0.5776E-14 0.00 0.1563E-06 0.10 + 20 0.1469E+05 0.7893E-02 0.3361E+08 | 0.8988E-13 0.00 0.1148E-14 0.00 0.1172E-12 0.00 + 21 0.1617E+05 0.1135E-03 0.5860E+06 | 0.3761E-05 2.30 0.2212E-15 0.00 0.1475E-12 0.00 + 22 0.1675E+05 0.4697E-02 0.2600E+08 | 0.1538E-12 0.00 0.5322E-14 0.00 0.8347E-11 0.00 + 23 0.1681E+05 0.1512E-03 0.8434E+06 | 0.9784E-13 0.00 0.9654E-13 0.00 0.3511E-05 2.14 + 24 0.1902E+05 0.2948E-04 0.2105E+06 | 0.1078E-14 0.00 0.2377E-13 0.00 0.7275E-07 0.04 + 25 0.1956E+05 0.1668E-03 0.1259E+07 | 0.1644E-06 0.10 0.3105E-13 0.00 0.4440E-14 0.00 + 26 0.2012E+05 0.5939E-03 0.4746E+07 | 0.2807E-14 0.00 0.1247E-12 0.00 0.4257E-13 0.00 + 27 0.2117E+05 0.1291E-03 0.1142E+07 | 0.7128E-15 0.00 0.8350E-05 5.10 0.3782E-14 0.00 + 28 0.2146E+05 0.6235E-04 0.5669E+06 | 0.4558E-13 0.00 0.2261E-05 1.38 0.1143E-14 0.00 + 29 0.2363E+05 0.5563E-03 0.6134E+07 | 0.5143E-11 0.00 0.8199E-14 0.00 0.1844E-13 0.00 + 30 0.2389E+05 0.2504E-03 0.2821E+07 | 0.2758E-05 1.68 0.1222E-11 0.00 0.5536E-14 0.00 + 31 0.2486E+05 0.2245E-03 0.2738E+07 | 0.8895E-11 0.00 0.1073E-05 0.66 0.2941E-15 0.00 + 32 0.2702E+05 0.1101E-03 0.1587E+07 | 0.2090E-13 0.00 0.7598E-13 0.00 0.5557E-05 3.39 + 33 0.2753E+05 0.2511E-03 0.3758E+07 | 0.1142E-13 0.00 0.1687E-12 0.00 0.2583E-11 0.00 + 34 0.2816E+05 0.3652E-04 0.5716E+06 | 0.2599E-11 0.00 0.6572E-14 0.00 0.5853E-12 0.00 + 35 0.2818E+05 0.7464E-04 0.1170E+07 | 0.8741E-05 5.34 0.1855E-12 0.00 0.1095E-14 0.00 + 36 0.2891E+05 0.2017E-03 0.3326E+07 | 0.1174E-12 0.00 0.1435E-13 0.00 0.2022E-05 1.23 + 37 0.3122E+05 0.6227E-03 0.1198E+08 | 0.2126E-15 0.00 0.1513E-13 0.00 0.7575E-07 0.05 + 38 0.3154E+05 0.3833E-04 0.7525E+06 | 0.1383E-11 0.00 0.2818E-06 0.17 0.7719E-16 0.00 + 39 0.3281E+05 0.9190E-04 0.1953E+07 | 0.2173E-05 1.33 0.6825E-13 0.00 0.3336E-15 0.00 + 40 0.3324E+05 0.7585E-03 0.1654E+08 | 0.2638E-12 0.00 0.5004E-15 0.00 0.1994E-13 0.00 + 41 0.3355E+05 0.6695E-04 0.1488E+07 | 0.3858E-12 0.00 0.5677E-14 0.00 0.2133E-10 0.00 + 42 0.3572E+05 0.8342E-04 0.2101E+07 | 0.2777E-12 0.00 0.6456E-06 0.39 0.5859E-12 0.00 + 43 0.3726E+05 0.3502E-02 0.9596E+08 | 0.9303E-15 0.00 0.1854E-12 0.00 0.9149E-06 0.56 + 44 0.3845E+05 0.2623E-04 0.7654E+06 | 0.3154E-14 0.00 0.4957E-16 0.00 0.5292E-08 0.00 + 45 0.3871E+05 0.1615E-02 0.4777E+08 | 0.1748E-12 0.00 0.7675E-12 0.00 0.7126E-13 0.00 + 46 0.3996E+05 0.5267E-04 0.1660E+07 | 0.6469E-12 0.00 0.5232E-07 0.03 0.3633E-14 0.00 + 47 0.4181E+05 0.1231E-03 0.4249E+07 | 0.9855E-06 0.60 0.1616E-11 0.00 0.1295E-14 0.00 + 48 0.4240E+05 0.4706E-04 0.1670E+07 | 0.1035E-12 0.00 0.6104E-07 0.04 0.6596E-14 0.00 + 49 0.4288E+05 0.5109E-03 0.1854E+08 | 0.5127E-12 0.00 0.4124E-12 0.00 0.3223E-13 0.00 + 50 0.4481E+05 0.4372E-04 0.1733E+07 | 0.1491E-05 0.91 0.5077E-12 0.00 0.4970E-14 0.00 + 51 0.4640E+05 0.1030E-01 0.4378E+09 | 0.7893E-08 0.00 0.2101E-10 0.00 0.5061E-16 0.00 + 52 0.4700E+05 0.1583E-03 0.6903E+07 | 0.2755E-08 0.00 0.1767E-10 0.00 0.4473E-14 0.00 + 53 0.4926E+05 0.2828E-04 0.1354E+07 | 0.4423E-14 0.00 0.6975E-14 0.00 0.3640E-14 0.00 + 54 0.5202E+05 0.3058E-03 0.1633E+08 | 0.8724E-16 0.00 0.1898E-12 0.00 0.6733E-07 0.04 + 55 0.5356E+05 0.3067E-04 0.1737E+07 | 0.2827E-09 0.00 0.7081E-11 0.00 0.6331E-14 0.00 + 56 0.5456E+05 0.4185E-03 0.2459E+08 | 0.7204E-15 0.00 0.5357E-11 0.00 0.6836E-07 0.04 + 57 0.5500E+05 0.6909E-04 0.4126E+07 | 0.1057E-13 0.00 0.1184E-06 0.07 0.3126E-11 0.00 + 58 0.5667E+05 0.4766E-04 0.3021E+07 | 0.1216E-11 0.00 0.3458E-06 0.21 0.6524E-13 0.00 + 59 0.5870E+05 0.5234E-04 0.3560E+07 | 0.3920E-08 0.00 0.7452E-12 0.00 0.1926E-14 0.00 + 60 0.6086E+05 0.2454E-04 0.1795E+07 | 0.7003E-17 0.00 0.3225E-15 0.00 0.1146E-07 0.01 + 61 0.6425E+05 0.8506E-04 0.6932E+07 | 0.2102E-08 0.00 0.6147E-12 0.00 0.1000E-13 0.00 + 62 0.6669E+05 0.3076E-03 0.2700E+08 | 0.7911E-14 0.00 0.1287E-11 0.00 0.1356E-14 0.00 + 63 0.6795E+05 0.5387E-04 0.4910E+07 | 0.9959E-15 0.00 0.6835E-13 0.00 0.1458E-13 0.00 + 64 0.7099E+05 0.1065E-03 0.1059E+08 | 0.2382E-06 0.15 0.6992E-09 0.00 0.1288E-13 0.00 + 65 0.7122E+05 0.2217E-04 0.2220E+07 | 0.1384E-08 0.00 0.1379E-06 0.08 0.7501E-14 0.00 + 66 0.7671E+05 0.4279E-04 0.4970E+07 | 0.1094E-14 0.00 0.3233E-12 0.00 0.9274E-12 0.00 + 67 0.7733E+05 0.4163E-04 0.4914E+07 | 0.1926E-14 0.00 0.2786E-14 0.00 0.7955E-07 0.05 + 68 0.7917E+05 0.2666E-04 0.3298E+07 | 0.4842E-14 0.00 0.2944E-07 0.02 0.2321E-14 0.00 + 69 0.8011E+05 0.2361E-03 0.2990E+08 | 0.3464E-15 0.00 0.5896E-13 0.00 0.5503E-08 0.00 + 70 0.8197E+05 0.2940E-04 0.3900E+07 | 0.9731E-08 0.01 0.1216E-11 0.00 0.1926E-14 0.00 + 71 0.8253E+05 0.8435E-04 0.1134E+08 | 0.1371E-16 0.00 0.1728E-13 0.00 0.1036E-14 0.00 + 72 0.8435E+05 0.3624E-04 0.5089E+07 | 0.3752E-07 0.02 0.9855E-12 0.00 0.1549E-14 0.00 + 73 0.8679E+05 0.2965E-04 0.4409E+07 | 0.3313E-15 0.00 0.5288E-13 0.00 0.3140E-14 0.00 + 74 0.9024E+05 0.2914E-04 0.4685E+07 | 0.1147E-13 0.00 0.2521E-08 0.00 0.6567E-17 0.00 + 75 0.9075E+05 0.1643E-04 0.2671E+07 | 0.9264E-19 0.00 0.1095E-18 0.00 0.2076E-08 0.00 + 76 0.9299E+05 0.2094E-03 0.3574E+08 | 0.7943E-14 0.00 0.2222E-11 0.00 0.1215E-14 0.00 + 77 0.9350E+05 0.1521E-04 0.2625E+07 | 0.2711E-13 0.00 0.1604E-07 0.01 0.1811E-15 0.00 + 78 0.9520E+05 0.2229E-04 0.3988E+07 | 0.1291E-15 0.00 0.7183E-17 0.00 0.9635E-08 0.01 + 79 0.9751E+05 0.2198E-04 0.4125E+07 | 0.6943E-09 0.00 0.1570E-12 0.00 0.1286E-17 0.00 + 80 0.1017E+06 0.1503E-03 0.3068E+08 | 0.8230E-07 0.05 0.1807E-12 0.00 0.1754E-15 0.00 + 81 0.1038E+06 0.1615E-03 0.3436E+08 | 0.1295E-15 0.00 0.1399E-13 0.00 0.5683E-08 0.00 + 82 0.1049E+06 0.6127E-04 0.1330E+08 | 0.6243E-16 0.00 0.1896E-14 0.00 0.2931E-14 0.00 + 83 0.1133E+06 0.7186E-04 0.1820E+08 | 0.1046E-12 0.00 0.3700E-07 0.02 0.1139E-13 0.00 + 84 0.1166E+06 0.1886E-04 0.5066E+07 | 0.7331E-15 0.00 0.1030E-07 0.01 0.9120E-13 0.00 + 85 0.1182E+06 0.5412E-04 0.1494E+08 | 0.3147E-16 0.00 0.1620E-16 0.00 0.1400E-09 0.00 + 86 0.1191E+06 0.2568E-03 0.7193E+08 | 0.6689E-12 0.00 0.2429E-10 0.00 0.7939E-12 0.00 + 87 0.1217E+06 0.2483E-03 0.7258E+08 | 0.3683E-13 0.00 0.2458E-12 0.00 0.1010E-06 0.06 + 88 0.1250E+06 0.9812E-04 0.3027E+08 | 0.2733E-06 0.17 0.2137E-12 0.00 0.1759E-13 0.00 + 89 0.1318E+06 0.4055E-04 0.1390E+08 | 0.2686E-16 0.00 0.3162E-15 0.00 0.2108E-13 0.00 + 90 0.1342E+06 0.8834E-04 0.3141E+08 | 0.3674E-12 0.00 0.9750E-07 0.06 0.1041E-12 0.00 + 91 0.1367E+06 0.1644E-04 0.6066E+07 | 0.9257E-09 0.00 0.1207E-14 0.00 0.1427E-16 0.00 + 92 0.1424E+06 0.8998E-04 0.3599E+08 | 0.4037E-06 0.25 0.2210E-11 0.00 0.9416E-14 0.00 + 93 0.1440E+06 0.4168E-04 0.1706E+08 | 0.2269E-15 0.00 0.3145E-16 0.00 0.1919E-08 0.00 + 94 0.1479E+06 0.6144E-04 0.2653E+08 | 0.3196E-11 0.00 0.5042E-07 0.03 0.4094E-13 0.00 + 95 0.1512E+06 0.1098E-03 0.4955E+08 | 0.1592E-15 0.00 0.3402E-15 0.00 0.1654E-14 0.00 + 96 0.1517E+06 0.1210E-03 0.5500E+08 | 0.1751E-07 0.01 0.6220E-12 0.00 0.1277E-14 0.00 + 97 0.1552E+06 0.1506E-04 0.7156E+07 | 0.6312E-14 0.00 0.2375E-08 0.00 0.6214E-14 0.00 + 98 0.1563E+06 0.4224E-04 0.2037E+08 | 0.1488E-17 0.00 0.1362E-17 0.00 0.4402E-15 0.00 + 99 0.1569E+06 0.4026E-04 0.1955E+08 | 0.2154E-07 0.01 0.2693E-12 0.00 0.5247E-15 0.00 + 100 0.1570E+06 0.2827E-04 0.1375E+08 | 0.8769E-16 0.00 0.6416E-16 0.00 0.7968E-09 0.00 + 101 0.1570E+06 0.2841E-04 0.1383E+08 | 0.1065E-12 0.00 0.6906E-10 0.00 0.1421E-15 0.00 + 102 0.1690E+06 0.1319E-04 0.7433E+07 | 0.5268E-13 0.00 0.3673E-14 0.00 0.6435E-18 0.00 + -------------------------------------------------------------------------------------------------------------- + sum | 0.1551E-03 94.69 0.1532E-03 93.54 0.1532E-03 93.52 + -------------------------------------------------------------------------------------------------------------- + + + *** ANSYS BINARY FILE STATISTICS + BUFFER SIZE USED= 16384 + 0.062 MB WRITTEN ON ELEMENT MATRIX FILE: file0.emat + 15.312 MB WRITTEN ON ELEMENT SAVED DATA FILE: file0.esav + 0.125 MB WRITTEN ON ASSEMBLED MATRIX FILE: file0.full + 0.125 MB WRITTEN ON MODAL MATRIX FILE: file0.mode + 0.562 MB WRITTEN ON SUBSTRUCTURE DOF SOLUTION FILE: file0.dsub + 0.750 MB WRITTEN ON RESULTS FILE: file0.rst + *************** Write FE CONNECTORS ********* + + WRITE OUT CONSTRAINT EQUATIONS TO FILE= file.ce + + *GET _NMODALSOLPROC FROM ACTI ITEM=NUMC VALUE= 2.00000000 + + FINISH SOLUTION PROCESSING + + + ***** ROUTINE COMPLETED ***** CP = 2.625 + + + + ALL CURRENT ANSYS DATA WRITTEN TO FILE NAME= file.db + FOR POSSIBLE RESUME FROM THIS POINT + + PRINTOUT RESUMED BY /GOP + + *GET _WALLASOL FROM ACTI ITEM=TIME WALL VALUE= 15.9263889 + + *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** + DISTRIBUTED ANSYS Academic Research + + 00208316 VERSION=WINDOWS x64 15:55:35 JUN 12, 2020 CP= 2.703 + + Piezo-APA95ML-3DElm--Modal (A5) + + + + ***** ANSYS RESULTS INTERPRETATION (POST1) ***** + + *** NOTE *** CP = 2.703 TIME= 15:55:35 + Reading results into the database (SET command) will update the current + displacement and force boundary conditions in the database with the + values from the results file for that load set. Note that any + subsequent solutions will use these values unless action is taken to + either SAVE the current values or not overwrite them (/EXIT,NOSAVE). + + PRINTOUT RESUMED BY /GOP + + Set Encoding of XML File to:ISO-8859-1 + + Set Output of XML File to: + PARM, , , , , , , , , , , , + , , , , , , , + + DATABASE WRITTEN ON FILE parm.xml + + EXIT THE ANSYS POST1 DATABASE PROCESSOR + + + ***** ROUTINE COMPLETED ***** CP = 3.562 + + + + PRINTOUT RESUMED BY /GOP + + *GET _WALLDONE FROM ACTI ITEM=TIME WALL VALUE= 15.9263889 + + PARAMETER _PREPTIME = 0.000000000 + + PARAMETER _SOLVTIME = 2.000000000 + + PARAMETER _POSTTIME = 0.000000000 + + PARAMETER _TOTALTIM = 2.000000000 + + *GET _DLBRATIO FROM ACTI ITEM=SOLU DLBR VALUE= 1.00000000 + + *GET _COMBTIME FROM ACTI ITEM=SOLU COMB VALUE= 0.203012000E-01 + --- Number of total nodes = 18 + --- Number of total elements = 2 + --- Element load balance ratio = 1 + --- Time to combine distributed files = 2.03012E-02 + + EXIT ANSYS WITHOUT SAVING DATABASE + + + NUMBER OF WARNING MESSAGES ENCOUNTERED= 3 + NUMBER OF ERROR MESSAGES ENCOUNTERED= 0 + ++--------- D I S T R I B U T E D A N S Y S S T A T I S T I C S ------------+ + +Release: 2020 R1 Build: 20.1 Update: UP20191203 Platform: WINDOWS x64 +Date Run: 06/12/2020 Time: 15:55 Process ID: 11700 +Operating System: Windows 10 (Build: 17763) + +Processor Model: Intel(R) Xeon(R) CPU E5-1620 v4 @ 3.50GHz + +Compiler: Intel(R) FORTRAN Compiler Version 19.0.0 (Build: 20190206) + Intel(R) C/C++ Compiler Version 19.0.0 (Build: 20190206) + Intel(R) Math Kernel Library Version 2019.0.3 Product Build 20190125 + +Number of machines requested : 1 +Total number of cores available : 8 +Number of physical cores available : 4 +Number of processes requested : 4 +Number of threads per process requested : 1 +Total number of cores requested : 4 (Distributed Memory Parallel) +MPI Type: INTELMPI +MPI Version: Intel(R) MPI Library 2018 Update 3 for Windows* OS + + +GPU Acceleration: Not Requested + +Job Name: file0 +Input File: dummy.dat + + Core Machine Name Working Directory + ----------------------------------------------------- + 0 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687 + 1 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687 + 2 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687 + 3 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687 + +Latency time from master to core 1 = 1.195 microseconds +Latency time from master to core 2 = 1.234 microseconds +Latency time from master to core 3 = 1.211 microseconds + +Communication speed from master to core 1 = 4914.04 MB/sec +Communication speed from master to core 2 = 5102.37 MB/sec +Communication speed from master to core 3 = 4676.01 MB/sec + +Total CPU time for main thread : 2.5 seconds +Total CPU time summed for all threads : 3.6 seconds + +Elapsed time spent obtaining a license : 0.6 seconds +Elapsed time spent pre-processing model (/PREP7) : 0.0 seconds +Elapsed time spent solution - preprocessing : 0.1 seconds +Elapsed time spent computing solution : 1.5 seconds +Elapsed time spent solution - postprocessing : 0.0 seconds +Elapsed time spent post-processing model (/POST1) : 0.2 seconds + +Eigensolver used : Block Lanczos + +Maximum total memory used : 226.0 MB +Maximum total memory allocated : 5184.0 MB +Total physical memory available : 64 GB + +Total amount of I/O written to disk : 0.0 GB +Total amount of I/O read from disk : 1.7 GB + ++------ E N D D I S T R I B U T E D A N S Y S S T A T I S T I C S -------+ + + + *---------------------------------------------------------------------------* + | | + | DISTRIBUTED ANSYS RUN COMPLETED | + | | + |---------------------------------------------------------------------------| + | | + | Ansys 2020 R1 Build 20.1 UP20191203 WINDOWS x64 | + | | + |---------------------------------------------------------------------------| + | | + | Database Requested(-db) 1024 MB Scratch Memory Requested 1024 MB | + | Maximum Database Used 7 MB Maximum Scratch Memory Used 165 MB | + | | + |---------------------------------------------------------------------------| + | | + | CP Time (sec) = 3.641 Time = 15:55:35 | + | Elapsed Time (sec) = 4.000 Date = 06/12/2020 | + | | + *---------------------------------------------------------------------------* diff --git a/data/piezo_amplified_3d/solve_modal_10kg.out b/data/piezo_amplified_3d/solve_modal_10kg.out new file mode 100755 index 0000000..958d8d6 --- /dev/null +++ b/data/piezo_amplified_3d/solve_modal_10kg.out @@ -0,0 +1,1537 @@ + + ANSYS Academic Research + + + *------------------------------------------------------------------* + | | + | W E L C O M E T O T H E A N S Y S (R) P R O G R A M | + | | + *------------------------------------------------------------------* + + + + + *************************************************************** + * ANSYS 2020 R1 LEGAL NOTICES * + *************************************************************** + * * + * Copyright 1971-2020 ANSYS, Inc. All rights reserved. * + * Unauthorized use, distribution or duplication is * + * prohibited. * + * * + * Ansys is a registered trademark of ANSYS, Inc. or its * + * subsidiaries in the United States or other countries. * + * See the ANSYS, Inc. online documentation or the ANSYS, Inc. * + * documentation CD or online help for the complete Legal * + * Notice. * + * * + *************************************************************** + * * + * THIS ANSYS SOFTWARE PRODUCT AND PROGRAM DOCUMENTATION * + * INCLUDE TRADE SECRETS AND CONFIDENTIAL AND PROPRIETARY * + * PRODUCTS OF ANSYS, INC., ITS SUBSIDIARIES, OR LICENSORS. * + * The software products and documentation are furnished by * + * ANSYS, Inc. or its subsidiaries under a software license * + * agreement that contains provisions concerning * + * non-disclosure, copying, length and nature of use, * + * compliance with exporting laws, warranties, disclaimers, * + * limitations of liability, and remedies, and other * + * provisions. The software products and documentation may be * + * used, disclosed, transferred, or copied only in accordance * + * with the terms and conditions of that software license * + * agreement. * + * * + * ANSYS, Inc. is a UL registered * + * ISO 9001:2015 company. * + * * + *************************************************************** + * * + * This product is subject to U.S. laws governing export and * + * re-export. * + * * + * For U.S. Government users, except as specifically granted * + * by the ANSYS, Inc. software license agreement, the use, * + * duplication, or disclosure by the United States Government * + * is subject to restrictions stated in the ANSYS, Inc. * + * software license agreement and FAR 12.212 (for non-DOD * + * licenses). * + * * + *************************************************************** + + 2020 R1 + + Point Releases and Patches installed: + + ANSYS, Inc. Products 2020 R1 + SpaceClaim 2020 R1 + Autodyn 2020 R1 + Aqwa 2020 R1 + Customization Files for User Programmable Features 2020 R1 + Mechanical Products 2020 R1 + Additive 2020 R1 + Viewer 2020 R1 + ACIS Geometry Interface 2020 R1 + AutoCAD Geometry Interface 2020 R1 + Catia, Version 4 Geometry Interface 2020 R1 + Catia, Version 5 Geometry Interface 2020 R1 + Catia, Version 6 Geometry Interface 2020 R1 + Creo Elements/Direct Modeling Geometry Interface 2020 R1 + Creo Parametric Geometry Interface 2020 R1 + Inventor Geometry Interface 2020 R1 + JTOpen Geometry Interface 2020 R1 + NX Geometry Interface 2020 R1 + Parasolid Geometry Interface 2020 R1 + Solid Edge Geometry Interface 2020 R1 + SOLIDWORKS Geometry Interface 2020 R1 + ANSYS, Inc. License Manager 2020 R1 + + + ***** ANSYS COMMAND LINE ARGUMENTS ***** + BATCH MODE REQUESTED (-b) = NOLIST + INPUT FILE COPY MODE (-c) = COPY + DISTRIBUTED MEMORY PARALLEL REQUESTED + 4 PARALLEL PROCESSES REQUESTED WITH SINGLE THREAD PER PROCESS + TOTAL OF 4 CORES REQUESTED + DESIGNXPLORER REQUESTED + INPUT FILE NAME = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E\dummy.dat + OUTPUT FILE NAME = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E\solve.out + START-UP FILE MODE = NOREAD + STOP FILE MODE = NOREAD + + RELEASE= 2020 R1 BUILD= 20.1 UP20191203 VERSION=WINDOWS x64 + CURRENT JOBNAME=file0 15:59:03 JUN 12, 2020 CP= 0.281 + + + PARAMETER _DS_PROGRESS = 999.0000000 + + /INPUT FILE= ds.dat LINE= 0 + + + + *** NOTE *** CP = 0.422 TIME= 15:59:03 + The /CONFIG,NOELDB command is not valid in a Distributed ANSYS + solution. Command is ignored. + + *GET _WALLSTRT FROM ACTI ITEM=TIME WALL VALUE= 15.9841667 + + TITLE= + Piezo-APA95ML-3DElm--Modal (A5) + + + SET PARAMETER DIMENSIONS ON _WB_PROJECTSCRATCH_DIR + TYPE=STRI DIMENSIONS= 248 1 1 + + PARAMETER _WB_PROJECTSCRATCH_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E\ + + SET PARAMETER DIMENSIONS ON _WB_SOLVERFILES_DIR + TYPE=STRI DIMENSIONS= 248 1 1 + + PARAMETER _WB_SOLVERFILES_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\Piezo-APA95ML-3DElm_files\dp0\SYS-3\MECH\ + + SET PARAMETER DIMENSIONS ON _WB_USERFILES_DIR + TYPE=STRI DIMENSIONS= 248 1 1 + + PARAMETER _WB_USERFILES_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\Piezo-APA95ML-3DElm_files\user_files\ + --- Data in consistent NMM units. See Solving Units in the help system for more + + MPA UNITS SPECIFIED FOR INTERNAL + LENGTH = MILLIMETERS (mm) + MASS = TONNE (Mg) + TIME = SECONDS (sec) + TEMPERATURE = CELSIUS (C) + TOFFSET = 273.0 + FORCE = NEWTON (N) + HEAT = MILLIJOULES (mJ) + + INPUT UNITS ARE ALSO SET TO MPA + + *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** + DISTRIBUTED ANSYS Academic Research + + 00208316 VERSION=WINDOWS x64 15:59:03 JUN 12, 2020 CP= 0.453 + + Piezo-APA95ML-3DElm--Modal (A5) + + + + ***** ANSYS ANALYSIS DEFINITION (PREP7) ***** + *********** Nodes for all Remote Points *********** + *********** Send Condensed Parts As Superelements *********** + *********** Include Condensed Part "Condensed Part" *********** + *********** Send User Defined Coordinate System(s) *********** + *********** Set Reference Temperature *********** + *********** Send Materials *********** + *********** Construct Remote Mass Using Remote Attachment *********** + *********** Construct Remote Displacement *********** + *** Create a component for all remote displacements *** + + + ***** ROUTINE COMPLETED ***** CP = 0.453 + + + --- Number of total nodes = 18 + --- Number of contact elements = 0 + --- Number of spring elements = 0 + --- Number of bearing elements = 0 + --- Number of solid elements = 105535 + --- Number of condensed parts = 0 + --- Number of total elements = 2 + + *GET _WALLBSOL FROM ACTI ITEM=TIME WALL VALUE= 15.9841667 + + ***** ANSYS SOLUTION ROUTINE ***** + + + PERFORM A MODAL ANALYSIS + THIS WILL BE A NEW ANALYSIS + + PARAMETER _THICKRATIO = 1.000000000 + + + USE SYM. BLOCK LANCZOS MODE EXTRACTION METHOD + EXTRACT 108 MODES + NORMALIZE THE MODE SHAPES TO THE MASS MATRIX + + ERASE THE CURRENT DATABASE OUTPUT CONTROL TABLE. + + + WRITE ALL ITEMS TO THE DATABASE WITH A FREQUENCY OF NONE + FOR ALL APPLICABLE ENTITIES + + WRITE NSOL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE EANG ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE VENG ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE ETMP ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE STRS ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE EPEL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE EPPL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + WRITE RSOL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + SELECT FOR ITEM=D COMPONENT=U BETWEEN 0.0000 AND 0.0000 + KABS= 0. TOLERANCE= 0.100000E-05 + + 1 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. + + ALSO SELECT FOR ITEM=D COMPONENT=ROT BETWEEN 0.0000 AND 0.0000 + KABS= 0. TOLERANCE= 0.100000E-05 + + 1 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. + + SELECT ALL ELEMENTS HAVING ANY NODE IN NODAL SET. + + 1 ELEMENTS (OF 2 DEFINED) SELECTED FROM + 1 SELECTED NODES BY ESLN COMMAND. + + DEFINITION OF COMPONENT = _CONSTRAINEDNODES ENTITY=ELEM + + ALL SELECT FOR ITEM=NODE COMPONENT= + IN RANGE 1 TO 168964 STEP 1 + + 18 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. + + ALL SELECT FOR ITEM=ELEM COMPONENT= + IN RANGE 1 TO 127001 STEP 1 + + 2 ELEMENTS (OF 2 DEFINED) SELECTED BY ESEL COMMAND. + + WRITE NLOA ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR THE ENTITIES DEFINED BY COMPONENT _CONSTRAINEDNODES + + WRITE CONT ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL + FOR ALL APPLICABLE ENTITIES + + + EXPAND ALL EXTRACTED MODES + CALCULATE ELEMENT RESULTS AND NODAL DOF SOLUTION + CALCULATE STRESSES IN ANY DOWNSTREAM MODE SUPERPOSITION EXPANSION PASS + + DO NOT COMBINE ELEMENT SAVE DATA FILES (.esav) AFTER DISTRIBUTED PARALLEL SOLUTION + + DO NOT COMBINE ELEMENT MATRIX FILES (.emat) AFTER DISTRIBUTED PARALLEL SOLUTION + + DO NOT COMBINE ASSEMBLED MATRIX FILES (.full) AFTER DISTRIBUTED PARALLEL SOLUTION + + *GET ANSINTER_ FROM ACTI ITEM=INT VALUE= 0.00000000 + + *IF ANSINTER_ ( = 0.00000 ) NE + 0 ( = 0.00000 ) THEN + + *ENDIF + + *** NOTE *** CP = 0.516 TIME= 15:59:03 + The automatic domain decomposition logic has selected the MESH domain + decomposition method with 4 processes per solution. + + ***** ANSYS SOLVE COMMAND ***** + + *** WARNING *** CP = 0.516 TIME= 15:59:03 + Element shape checking is currently inactive. Issue SHPP,ON or + SHPP,WARN to reactivate, if desired. + + *** NOTE *** CP = 0.578 TIME= 15:59:03 + The model data was checked and warning messages were found. + Please review output or errors file ( C:\Users\brumund\Documents + (Local)\ANSYS\NASS\_ProjectScratch\Scr779E\file0.err ) for these + warning messages. + + *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** + DISTRIBUTED ANSYS Academic Research + + 00208316 VERSION=WINDOWS x64 15:59:03 JUN 12, 2020 CP= 0.578 + + Piezo-APA95ML-3DElm--Modal (A5) + + + + S O L U T I O N O P T I O N S + + PROBLEM DIMENSIONALITY. . . . . . . . . . . . .3-D + DEGREES OF FREEDOM. . . . . . UX UY UZ ROTX ROTY ROTZ + ANALYSIS TYPE . . . . . . . . . . . . . . . . .MODAL + EXTRACTION METHOD. . . . . . . . . . . . . .BLOCK LANCZOS + OFFSET TEMPERATURE FROM ABSOLUTE ZERO . . . . . 273.15 + NUMBER OF MODES TO EXTRACT. . . . . . . . . . . 108 + GLOBALLY ASSEMBLED MATRIX . . . . . . . . . . .SYMMETRIC + NUMBER OF MODES TO EXPAND . . . . . . . . . . .ALL + ELEMENT RESULTS CALCULATION . . . . . . . . . .ON + + *** WARNING *** CP = 0.578 TIME= 15:59:03 + Material number 2 (used by element 127001) should normally have at + least one MP or one TB type command associated with it. Output of + energy by material may not be available. + + *** NOTE *** CP = 0.578 TIME= 15:59:03 + The step data was checked and warning messages were found. + Please review output or errors file ( C:\Users\brumund\Documents + (Local)\ANSYS\NASS\_ProjectScratch\Scr779E\file0.err ) for these + warning messages. + + *** NOTE *** CP = 0.641 TIME= 15:59:03 + Internal nodes from 200001 to 200010 are created for component mode + synthesis superelement. Also, the associated SUB files are updated + for the new nodes. + + *** NOTE *** CP = 0.641 TIME= 15:59:03 + The number of CPU processors specified is greater than the number of + elements selected in the model. The number of Distributed ANSYS + processes will be reduced to 2 for this solution. + + + + D I S T R I B U T E D D O M A I N D E C O M P O S E R + + ...Number of elements: 2 + ...Number of nodes: 28 + ...Decompose to 2 CPU domains + + *** NOTE *** CP = 0.641 TIME= 15:59:03 + ANSYS can optimally decompose the model into 2 CPU Domains, which does + not match the total number of processors specified upon startup of + Distributed ANSYS. Distributed parallel processing has been + temporarily modified to only use 2 processes for this solution. + ...Element load balance ratio = 1.000 + + + L O A D S T E P O P T I O N S + + LOAD STEP NUMBER. . . . . . . . . . . . . . . . 1 + THERMAL STRAINS INCLUDED IN THE LOAD VECTOR . . YES + PRINT OUTPUT CONTROLS . . . . . . . . . . . . .NO PRINTOUT + DATABASE OUTPUT CONTROLS + ITEM FREQUENCY COMPONENT + ALL NONE + NSOL ALL + EANG ALL + VENG ALL + ETMP ALL + STRS ALL + EPEL ALL + EPPL ALL + RSOL ALL + NLOA ALL _CONSTRAINEDNODES + CONT ALL + + + + *********** PRECISE MASS SUMMARY *********** + + TOTAL RIGID BODY MASS MATRIX ABOUT ORIGIN + Translational mass | Coupled translational/rotational mass + 0.10164E-01 0.0000 0.0000 | 0.0000 0.55514E-11 -0.30000 + 0.0000 0.10164E-01 0.0000 | -0.55514E-11 0.0000 0.18635E-10 + 0.0000 0.0000 0.10164E-01 | 0.30000 -0.18635E-10 0.0000 + ------------------------------------------ | ------------------------------------------ + | Rotational mass (inertia) + | 9.0399 0.29086E-09 -0.14510E-09 + | 0.29086E-09 0.93584E-01 0.39192E-10 + | -0.14510E-09 0.39192E-10 9.1253 + + TOTAL MASS = 0.10164E-01 + The mass principal axes coincide with the global Cartesian axes + + CENTER OF MASS (X,Y,Z)= 0.18335E-08 29.516 0.54620E-09 + + TOTAL INERTIA ABOUT CENTER OF MASS + 0.18499 0.84091E-09 -0.14510E-09 + 0.84091E-09 0.93584E-01 0.20305E-09 + -0.14510E-09 0.20305E-09 0.27038 + The inertia principal axes coincide with the global Cartesian axes + + + *** MASS SUMMARY BY ELEMENT TYPE *** + + TYPE MASS + 1 0.163824E-03 + 2 0.100000E-01 + + Range of element maximum matrix coefficients in global coordinates + Maximum = 8.529154772E+10 at element 127000. + Minimum = 8.529154772E+10 at element 127000. + + *** ELEMENT MATRIX FORMULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 1 MATRIX50 0.125 0.125000 + 2 1 MASS21 0.000 0.000000 + Time at end of element matrix formulation CP = 1.140625. + + *** WARNING *** CP = 1.141 TIME= 15:59:03 + The requested number of modes is reduced from 108 to 102 since there + are only 102 degrees of freedom in the model. + + BLOCK LANCZOS CALCULATION OF UP TO 102 EIGENVECTORS. + NUMBER OF EQUATIONS = 102 + MAXIMUM WAVEFRONT = 108 + MAXIMUM MODES STORED = 102 + MINIMUM EIGENVALUE = 0.00000E+00 + MAXIMUM EIGENVALUE = 0.10000E+31 + + + Local memory allocated for solver = 0.369 MB + Local memory required for in-core solution = 0.320 MB + Local memory required for out-of-core solution = 0.320 MB + + Total memory allocated for solver = 0.616 MB + Total memory required for in-core solution = 0.534 MB + Total memory required for out-of-core solution = 0.534 MB + + *** NOTE *** CP = 1.281 TIME= 15:59:03 + The Distributed Sparse Matrix Solver used by the Block Lanczos + eigensolver is currently running in the in-core memory mode. This + memory mode uses the most amount of memory in order to avoid using the + hard drive as much as possible, which most often results in the + fastest solution time. This mode is recommended if enough physical + memory is present to accommodate all of the solver data. + + *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** + DISTRIBUTED ANSYS Academic Research + + 00208316 VERSION=WINDOWS x64 15:59:03 JUN 12, 2020 CP= 1.344 + + Piezo-APA95ML-3DElm--Modal (A5) + + + + *** FREQUENCIES FROM BLOCK LANCZOS ITERATION *** + + MODE FREQUENCY (HERTZ) + + + 1 40.85782749860 + 2 45.01678824589 + 3 233.2392378332 + 4 2194.652968850 + 5 3060.023849271 + 6 3117.397703969 + 7 3720.241710802 + 8 4864.719126155 + 9 6438.129607586 + 10 6963.340239953 + 11 8818.922219532 + 12 9273.233228391 + 13 9536.686354933 + 14 10144.83471058 + 15 11064.02470390 + 16 11541.53831729 + 17 12120.30239121 + 18 12798.83182155 + 19 14123.98306468 + 20 14445.68904072 + 21 14686.89896521 + 22 15970.88042639 + 23 16746.35463350 + 24 18625.64175262 + 25 18972.36294300 + 26 19773.43140781 + 27 20120.46787451 + 28 21378.91553349 + 29 23634.49532488 + 30 23638.44235292 + 31 24108.07027831 + 32 24610.74231609 + 33 24898.18047959 + 34 27154.36223285 + 35 27531.89485315 + 36 28157.92971886 + 37 28222.71881265 + 38 28360.29962957 + 39 30894.92815589 + 40 32053.78834642 + 41 33226.93296572 + 42 33240.20873041 + 43 34570.87933590 + 44 37255.53272197 + 45 38447.41517991 + 46 38712.73651879 + 47 39389.37193636 + 48 41906.44557218 + 49 42220.33692248 + 50 42877.26019816 + 51 46400.45974994 + 52 46978.08152809 + 53 48297.99799867 + 54 49255.13090059 + 55 51247.31822956 + 56 54348.39633972 + 57 54955.94319624 + 58 55477.07554342 + 59 57021.29309918 + 60 60768.15504416 + 61 63130.80020518 + 62 66686.56694307 + 63 67946.81824646 + 64 70752.06965300 + 65 70853.65737354 + 66 76710.53981350 + 67 77072.62095099 + 68 78957.79860039 + 69 80083.44834637 + 70 81881.74173736 + 71 82527.26451149 + 72 84093.97187377 + 73 86792.72606615 + 74 90233.71209973 + 75 90740.47426072 + 76 92986.96741448 + 77 93437.39745724 + 78 95165.05417910 + 79 97409.10345366 + 80 101164.3964999 + 81 103782.5377193 + 82 104870.5104942 + 83 113109.2395952 + 84 116561.4363304 + 85 118246.8577459 + 86 119127.7815633 + 87 121402.3027511 + 88 123165.7350495 + 89 131769.6441968 + 90 133702.3646605 + 91 136693.3920981 + 92 139839.0962022 + 93 143987.3893688 + 94 147639.1772602 + 95 151224.1377682 + 96 151612.4048827 + 97 155138.4056703 + 98 156318.9330701 + 99 156720.7683011 + 100 156997.0851265 + 101 157042.5014982 + 102 168943.4288918 + + *** ELEMENT RESULT CALCULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 1 MATRIX50 0.016 0.015625 + 2 1 MASS21 0.000 0.000000 + + *** NODAL LOAD CALCULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 1 MATRIX50 0.000 0.000000 + 2 1 MASS21 0.000 0.000000 + + *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** + DISTRIBUTED ANSYS Academic Research + + 00208316 VERSION=WINDOWS x64 15:59:04 JUN 12, 2020 CP= 2.656 + + Piezo-APA95ML-3DElm--Modal (A5) + + + + + + ***** PARTICIPATION FACTOR CALCULATION ***** X DIRECTION + CUMULATIVE 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0.579620E-12 + 28 21378.9 0.46775E-04 -0.15103E-04 0.000005 0.228104E-09 0.998262 0.249968E-10 + 29 23634.5 0.42311E-04 0.55552E-02 0.001846 0.308607E-04 0.998266 0.338188E-05 + 30 23638.4 0.42304E-04 -0.69617E-01 0.023134 0.484647E-02 0.998797 0.531102E-03 + 31 24108.1 0.41480E-04 0.15192E-03 0.000050 0.230807E-07 0.998797 0.252931E-08 + 32 24610.7 0.40633E-04 -0.16758E-04 0.000006 0.280840E-09 0.998797 0.307760E-10 + 33 24898.2 0.40164E-04 0.81368E-04 0.000027 0.662082E-08 0.998797 0.725544E-09 + 34 27154.4 0.36826E-04 0.23765E-01 0.007897 0.564759E-03 0.998859 0.618893E-04 + 35 27531.9 0.36322E-04 -0.45537E-05 0.000002 0.207360E-10 0.998859 0.227236E-11 + 36 28157.9 0.35514E-04 0.10448E-05 0.000000 0.109168E-11 0.998859 0.119632E-12 + 37 28222.7 0.35432E-04 0.80061E-01 0.026605 0.640974E-02 0.999562 0.702413E-03 + 38 28360.3 0.35261E-04 -0.80473E-04 0.000027 0.647596E-08 0.999562 0.709670E-09 + 39 30894.9 0.32368E-04 0.21283E-05 0.000001 0.452950E-11 0.999562 0.496367E-12 + 40 32053.8 0.31198E-04 -0.12059E-04 0.000004 0.145421E-09 0.999562 0.159360E-10 + 41 33226.9 0.30096E-04 0.43307E-01 0.014391 0.187553E-02 0.999768 0.205531E-03 + 42 33240.2 0.30084E-04 -0.61301E-03 0.000204 0.375779E-06 0.999768 0.411798E-07 + 43 34570.9 0.28926E-04 0.40647E-05 0.000001 0.165217E-10 0.999768 0.181054E-11 + 44 37255.5 0.26842E-04 0.25798E-05 0.000001 0.665546E-11 0.999768 0.729340E-12 + 45 38447.4 0.26010E-04 -0.18478E-05 0.000001 0.341429E-11 0.999768 0.374156E-12 + 46 38712.7 0.25831E-04 -0.13061E-04 0.000004 0.170599E-09 0.999768 0.186951E-10 + 47 39389.4 0.25388E-04 0.10460E-06 0.000000 0.109412E-13 0.999768 0.119899E-14 + 48 41906.4 0.23863E-04 -0.30917E-01 0.010274 0.955877E-03 0.999873 0.104750E-03 + 49 42220.3 0.23685E-04 -0.53629E-04 0.000018 0.287612E-08 0.999873 0.315180E-09 + 50 42877.3 0.23322E-04 0.18730E-04 0.000006 0.350817E-09 0.999873 0.384444E-10 + 51 46400.5 0.21552E-04 0.11316E-02 0.000376 0.128063E-05 0.999873 0.140338E-06 + 52 46978.1 0.21287E-04 0.78928E-02 0.002623 0.622971E-04 0.999880 0.682684E-05 + 53 48298.0 0.20705E-04 -0.17602E-01 0.005849 0.309832E-03 0.999914 0.339530E-04 + 54 49255.1 0.20302E-04 0.55073E-05 0.000002 0.303306E-10 0.999914 0.332379E-11 + 55 51247.3 0.19513E-04 0.17942E-05 0.000001 0.321929E-11 0.999914 0.352786E-12 + 56 54348.4 0.18400E-04 0.46376E-06 0.000000 0.215077E-12 0.999914 0.235693E-13 + 57 54955.9 0.18196E-04 0.20313E-04 0.000007 0.412614E-09 0.999914 0.452164E-10 + 58 55477.1 0.18025E-04 0.26405E-04 0.000009 0.697223E-09 0.999914 0.764054E-10 + 59 57021.3 0.17537E-04 -0.39605E-02 0.001316 0.156855E-04 0.999916 0.171890E-05 + 60 60768.2 0.16456E-04 -0.83226E-07 0.000000 0.692665E-14 0.999916 0.759059E-15 + 61 63130.8 0.15840E-04 0.45553E-02 0.001514 0.207507E-04 0.999918 0.227397E-05 + 62 66686.6 0.14996E-04 0.18017E-05 0.000001 0.324623E-11 0.999918 0.355739E-12 + 63 67946.8 0.14717E-04 0.17640E-05 0.000001 0.311176E-11 0.999918 0.341003E-12 + 64 70752.1 0.14134E-04 -0.14368E-01 0.004775 0.206448E-03 0.999940 0.226236E-04 + 65 70853.7 0.14114E-04 -0.21884E-02 0.000727 0.478921E-05 0.999941 0.524827E-06 + 66 76710.5 0.13036E-04 -0.14112E-05 0.000000 0.199136E-11 0.999941 0.218223E-12 + 67 77072.6 0.12975E-04 -0.12403E-05 0.000000 0.153838E-11 0.999941 0.168584E-12 + 68 78957.8 0.12665E-04 -0.51843E-05 0.000002 0.268773E-10 0.999941 0.294535E-11 + 69 80083.4 0.12487E-04 -0.53543E-06 0.000000 0.286687E-12 0.999941 0.314167E-13 + 70 81881.7 0.12213E-04 0.36762E-02 0.001222 0.135148E-04 0.999943 0.148102E-05 + 71 82527.3 0.12117E-04 -0.18916E-06 0.000000 0.357830E-13 0.999943 0.392129E-14 + 72 84094.0 0.11891E-04 -0.54624E-02 0.001815 0.298373E-04 0.999946 0.326973E-05 + 73 86792.7 0.11522E-04 0.19346E-06 0.000000 0.374277E-13 0.999946 0.410152E-14 + 74 90233.7 0.11082E-04 -0.35039E-05 0.000001 0.122771E-10 0.999946 0.134538E-11 + 75 90740.5 0.11020E-04 0.44206E-07 0.000000 0.195420E-14 0.999946 0.214151E-15 + 76 92987.0 0.10754E-04 0.32505E-05 0.000001 0.105661E-10 0.999946 0.115788E-11 + 77 93437.4 0.10702E-04 0.71976E-05 0.000002 0.518050E-10 0.999946 0.567707E-11 + 78 95165.1 0.10508E-04 0.34470E-06 0.000000 0.118820E-12 0.999946 0.130210E-13 + 79 97409.1 0.10266E-04 0.28744E-03 0.000096 0.826201E-07 0.999946 0.905394E-08 + 80 101164. 0.98849E-05 0.79131E-02 0.002630 0.626179E-04 0.999953 0.686200E-05 + 81 103783. 0.96355E-05 -0.26467E-06 0.000000 0.700486E-13 0.999953 0.767629E-14 + 82 104871. 0.95356E-05 0.18861E-06 0.000000 0.355733E-13 0.999953 0.389831E-14 + 83 113109. 0.88410E-05 -0.74354E-05 0.000002 0.552854E-10 0.999953 0.605846E-11 + 84 116561. 0.85792E-05 0.23495E-05 0.000001 0.552018E-11 0.999953 0.604930E-12 + 85 118247. 0.84569E-05 0.17349E-06 0.000000 0.300980E-13 0.999953 0.329830E-14 + 86 119128. 0.83943E-05 -0.20787E-04 0.000007 0.432118E-09 0.999953 0.473538E-10 + 87 121402. 0.82371E-05 0.67542E-05 0.000002 0.456198E-10 0.999953 0.499925E-11 + 88 123166. 0.81191E-05 -0.14581E-01 0.004845 0.212604E-03 0.999976 0.232983E-04 + 89 131770. 0.75890E-05 -0.14882E-06 0.000000 0.221462E-13 0.999976 0.242689E-14 + 90 133702. 0.74793E-05 -0.10667E-04 0.000004 0.113777E-09 0.999976 0.124682E-10 + 91 136693. 0.73156E-05 0.72569E-03 0.000241 0.526624E-06 0.999976 0.577103E-07 + 92 139839. 0.71511E-05 0.14283E-01 0.004746 0.203996E-03 0.999998 0.223550E-04 + 93 143987. 0.69451E-05 -0.18700E-06 0.000000 0.349705E-13 0.999998 0.383225E-14 + 94 147639. 0.67733E-05 0.24150E-04 0.000008 0.583246E-09 0.999998 0.639152E-10 + 95 151224. 0.66127E-05 -0.29374E-06 0.000000 0.862825E-13 0.999998 0.945529E-14 + 96 151612. 0.65958E-05 -0.24924E-02 0.000828 0.621226E-05 0.999999 0.680772E-06 + 97 155138. 0.64459E-05 -0.22703E-05 0.000001 0.515412E-11 0.999999 0.564816E-12 + 98 156319. 0.63972E-05 0.35811E-07 0.000000 0.128245E-14 0.999999 0.140537E-15 + 99 156721. 0.63808E-05 0.28637E-02 0.000952 0.820064E-05 1.00000 0.898670E-06 + 100 156997. 0.63695E-05 -0.70305E-07 0.000000 0.494277E-14 1.00000 0.541655E-15 + 101 157043. 0.63677E-05 0.36156E-05 0.000001 0.130725E-10 1.00000 0.143256E-11 + 102 168943. 0.59191E-05 -0.41698E-03 0.000139 0.173871E-06 1.00000 0.190538E-07 + ----------------------------------------------------------------------------------------------------------------- + sum 9.11796 0.999194 + ----------------------------------------------------------------------------------------------------------------- + + + + + + *** NOTE *** CP = 2.656 TIME= 15:59:04 + The modes requested are mass normalized (Nrmkey on MODOPT). However, + the modal masses and kinetic energies below are calculated with unit + normalized modes. + + ***** MODAL MASSES, KINETIC ENERGIES, AND TRANSLATIONAL EFFECTIVE MASSES SUMMARY ***** + + EFFECTIVE MASS + MODE FREQUENCY MODAL MASS KENE | X-DIR RATIO% Y-DIR RATIO% Z-DIR RATIO% + 1 40.86 0.1007E-01 331.9 | 0.1009E-01 99.26 0.6887E-13 0.00 0.5350E-09 0.00 + 2 45.02 0.1003E-01 401.1 | 0.5358E-09 0.00 0.1179E-12 0.00 0.1007E-01 99.09 + 3 233.2 0.1005E-01 0.1080E+05 | 0.6622E-13 0.00 0.1011E-01 99.47 0.1004E-12 0.00 + 4 2195. 0.3909E-04 3716. | 0.2329E-13 0.00 0.2252E-04 0.22 0.4380E-13 0.00 + 5 3060. 0.7632E-04 0.1411E+05 | 0.1810E-12 0.00 0.6335E-13 0.00 0.4008E-10 0.00 + 6 3117. 0.6715E-04 0.1288E+05 | 0.4563E-13 0.00 0.1016E-12 0.00 0.6184E-04 0.61 + 7 3720. 0.1390E-03 0.3798E+05 | 0.9929E-05 0.10 0.5013E-13 0.00 0.1264E-12 0.00 + 8 4865. 0.3534E-04 0.1651E+05 | 0.000 0.00 0.4045E-15 0.00 0.2460E-05 0.02 + 9 6438. 0.1280E-03 0.1047E+06 | 0.1618E-06 0.00 0.6887E-12 0.00 0.4499E-13 0.00 + 10 6963. 0.6370E-04 0.6097E+05 | 0.2907E-12 0.00 0.6132E-05 0.06 0.1128E-13 0.00 + 11 8819. 0.6657E-03 0.1022E+07 | 0.4709E-15 0.00 0.8881E-14 0.00 0.3757E-05 0.04 + 12 9273. 0.3262E-01 0.5537E+08 | 0.2618E-10 0.00 0.8412E-06 0.01 0.1192E-12 0.00 + 13 9537. 0.1038E-03 0.1864E+06 | 0.4610E-05 0.05 0.9472E-11 0.00 0.1824E-13 0.00 + 14 0.1014E+05 0.2572E-03 0.5225E+06 | 0.4305E-13 0.00 0.1011E-13 0.00 0.4903E-13 0.00 + 15 0.1106E+05 0.3324E-04 0.8033E+05 | 0.9481E-13 0.00 0.7570E-15 0.00 0.4252E-14 0.00 + 16 0.1154E+05 0.4728E-04 0.1243E+06 | 0.2596E-04 0.26 0.2429E-13 0.00 0.2605E-13 0.00 + 17 0.1212E+05 0.1534E-02 0.4448E+07 | 0.7146E-12 0.00 0.3240E-14 0.00 0.2094E-05 0.02 + 18 0.1280E+05 0.7206E-04 0.2330E+06 | 0.8653E-12 0.00 0.2191E-07 0.00 0.8219E-14 0.00 + 19 0.1412E+05 0.2213E-02 0.8713E+07 | 0.1666E-11 0.00 0.1798E-14 0.00 0.2053E-06 0.00 + 20 0.1445E+05 0.6636E-04 0.2733E+06 | 0.5277E-05 0.05 0.1161E-13 0.00 0.7011E-13 0.00 + 21 0.1469E+05 0.7891E-02 0.3360E+08 | 0.2730E-12 0.00 0.3020E-14 0.00 0.1470E-12 0.00 + 22 0.1597E+05 0.1892E-02 0.9526E+07 | 0.4265E-13 0.00 0.7595E-13 0.00 0.2300E-05 0.02 + 23 0.1675E+05 0.4704E-02 0.2604E+08 | 0.1107E-13 0.00 0.2553E-13 0.00 0.1240E-12 0.00 + 24 0.1863E+05 0.1799E-03 0.1232E+07 | 0.2806E-05 0.03 0.2387E-13 0.00 0.1654E-14 0.00 + 25 0.1897E+05 0.2887E-04 0.2051E+06 | 0.5462E-16 0.00 0.1389E-13 0.00 0.2730E-08 0.00 + 26 0.1977E+05 0.8055E-04 0.6217E+06 | 0.4406E-13 0.00 0.5889E-05 0.06 0.4049E-15 0.00 + 27 0.2012E+05 0.5939E-03 0.4746E+07 | 0.6554E-14 0.00 0.1880E-11 0.00 0.8327E-14 0.00 + 28 0.2138E+05 0.4156E-04 0.3750E+06 | 0.1075E-12 0.00 0.5499E-07 0.00 0.1458E-14 0.00 + 29 0.2363E+05 0.5594E-03 0.6168E+07 | 0.2330E-07 0.00 0.2139E-10 0.00 0.3183E-12 0.00 + 30 0.2364E+05 0.5497E-03 0.6063E+07 | 0.3658E-05 0.04 0.2575E-10 0.00 0.1929E-12 0.00 + 31 0.2411E+05 0.2389E-03 0.2741E+07 | 0.1857E-10 0.00 0.5972E-05 0.06 0.6536E-12 0.00 + 32 0.2461E+05 0.4234E-03 0.5062E+07 | 0.1551E-12 0.00 0.9065E-12 0.00 0.3173E-05 0.03 + 33 0.2490E+05 0.2347E-03 0.2872E+07 | 0.5277E-11 0.00 0.3104E-06 0.00 0.2180E-11 0.00 + 34 0.2715E+05 0.1241E-03 0.1807E+07 | 0.6606E-06 0.01 0.3027E-13 0.00 0.1017E-11 0.00 + 35 0.2753E+05 0.2511E-03 0.3758E+07 | 0.1851E-13 0.00 0.2167E-12 0.00 0.3642E-11 0.00 + 36 0.2816E+05 0.3651E-04 0.5715E+06 | 0.3933E-14 0.00 0.1825E-13 0.00 0.2418E-10 0.00 + 37 0.2822E+05 0.9988E-04 0.1570E+07 | 0.8151E-05 0.08 0.3667E-12 0.00 0.5844E-11 0.00 + 38 0.2836E+05 0.3124E-02 0.4959E+08 | 0.8394E-11 0.00 0.1781E-14 0.00 0.5176E-05 0.05 + 39 0.3089E+05 0.5428E-03 0.1023E+08 | 0.1073E-13 0.00 0.3352E-16 0.00 0.5038E-07 0.00 + 40 0.3205E+05 0.1297E-02 0.2630E+08 | 0.1664E-12 0.00 0.1800E-13 0.00 0.7117E-08 0.00 + 41 0.3323E+05 0.1084E-03 0.2363E+07 | 0.2628E-05 0.03 0.1288E-13 0.00 0.7628E-16 0.00 + 42 0.3324E+05 0.7589E-03 0.1655E+08 | 0.5249E-09 0.00 0.1323E-14 0.00 0.1887E-13 0.00 + 43 0.3457E+05 0.6323E-04 0.1492E+07 | 0.1603E-13 0.00 0.2741E-06 0.00 0.1473E-13 0.00 + 44 0.3726E+05 0.3535E-02 0.9686E+08 | 0.1757E-13 0.00 0.1287E-12 0.00 0.9137E-06 0.01 + 45 0.3845E+05 0.2620E-04 0.7645E+06 | 0.5049E-14 0.00 0.1019E-14 0.00 0.4863E-08 0.00 + 46 0.3871E+05 0.1615E-02 0.4778E+08 | 0.2784E-12 0.00 0.1964E-10 0.00 0.7823E-13 0.00 + 47 0.3939E+05 0.4426E-04 0.1356E+07 | 0.2228E-14 0.00 0.1551E-06 0.00 0.1392E-12 0.00 + 48 0.4191E+05 0.1340E-03 0.4645E+07 | 0.1423E-05 0.01 0.7515E-12 0.00 0.5898E-15 0.00 + 49 0.4222E+05 0.4953E-04 0.1743E+07 | 0.4601E-11 0.00 0.4616E-07 0.00 0.8647E-15 0.00 + 50 0.4288E+05 0.5108E-03 0.1854E+08 | 0.4721E-12 0.00 0.2808E-11 0.00 0.3486E-13 0.00 + 51 0.4640E+05 0.6857E-02 0.2914E+09 | 0.2183E-08 0.00 0.2527E-10 0.00 0.8034E-17 0.00 + 52 0.4698E+05 0.2209E-03 0.9622E+07 | 0.3693E-07 0.00 0.2303E-10 0.00 0.4449E-14 0.00 + 53 0.4830E+05 0.8496E-04 0.3912E+07 | 0.5533E-06 0.01 0.4551E-12 0.00 0.8005E-15 0.00 + 54 0.4926E+05 0.2828E-04 0.1354E+07 | 0.4524E-13 0.00 0.7717E-14 0.00 0.6552E-15 0.00 + 55 0.5125E+05 0.6002E-03 0.3112E+08 | 0.9541E-14 0.00 0.1832E-12 0.00 0.8501E-07 0.00 + 56 0.5435E+05 0.3675E-03 0.2143E+08 | 0.7805E-15 0.00 0.1671E-11 0.00 0.4760E-07 0.00 + 57 0.5496E+05 0.6537E-04 0.3897E+07 | 0.1056E-12 0.00 0.4526E-07 0.00 0.1121E-11 0.00 + 58 0.5548E+05 0.4567E-04 0.2775E+07 | 0.8060E-12 0.00 0.3337E-06 0.00 0.7977E-13 0.00 + 59 0.5702E+05 0.5915E-04 0.3796E+07 | 0.1365E-07 0.00 0.9099E-14 0.00 0.1271E-14 0.00 + 60 0.6077E+05 0.2450E-04 0.1786E+07 | 0.000 0.00 0.1208E-15 0.00 0.1495E-07 0.00 + 61 0.6313E+05 0.6877E-04 0.5410E+07 | 0.1465E-08 0.00 0.9630E-12 0.00 0.9716E-14 0.00 + 62 0.6669E+05 0.3076E-03 0.2700E+08 | 0.7707E-14 0.00 0.1710E-11 0.00 0.8989E-15 0.00 + 63 0.6795E+05 0.5387E-04 0.4909E+07 | 0.1798E-14 0.00 0.8101E-13 0.00 0.1328E-13 0.00 + 64 0.7075E+05 0.1203E-03 0.1188E+08 | 0.2162E-06 0.00 0.1952E-08 0.00 0.8557E-14 0.00 + 65 0.7085E+05 0.2180E-04 0.2161E+07 | 0.4974E-08 0.00 0.9170E-07 0.00 0.3755E-14 0.00 + 66 0.7671E+05 0.4277E-04 0.4968E+07 | 0.1712E-14 0.00 0.7226E-12 0.00 0.2006E-11 0.00 + 67 0.7707E+05 0.4026E-04 0.4720E+07 | 0.1363E-14 0.00 0.3512E-14 0.00 0.8144E-07 0.00 + 68 0.7896E+05 0.2650E-04 0.3262E+07 | 0.8505E-14 0.00 0.4756E-07 0.00 0.1985E-14 0.00 + 69 0.8008E+05 0.2354E-03 0.2981E+08 | 0.4136E-15 0.00 0.6357E-13 0.00 0.6514E-08 0.00 + 70 0.8188E+05 0.2640E-04 0.3494E+07 | 0.9223E-08 0.00 0.1024E-11 0.00 0.1875E-14 0.00 + 71 0.8253E+05 0.8435E-04 0.1134E+08 | 0.5969E-16 0.00 0.2207E-13 0.00 0.8692E-15 0.00 + 72 0.8409E+05 0.4088E-04 0.5706E+07 | 0.2801E-07 0.00 0.6320E-12 0.00 0.9296E-15 0.00 + 73 0.8679E+05 0.2965E-04 0.4409E+07 | 0.1079E-15 0.00 0.6670E-13 0.00 0.3002E-14 0.00 + 74 0.9023E+05 0.2977E-04 0.4784E+07 | 0.1111E-13 0.00 0.2005E-08 0.00 0.000 0.00 + 75 0.9074E+05 0.1633E-04 0.2654E+07 | 0.000 0.00 0.000 0.00 0.2067E-08 0.00 + 76 0.9299E+05 0.2094E-03 0.3574E+08 | 0.1020E-13 0.00 0.2255E-11 0.00 0.1174E-14 0.00 + 77 0.9344E+05 0.1509E-04 0.2600E+07 | 0.2189E-13 0.00 0.1236E-07 0.00 0.2256E-15 0.00 + 78 0.9517E+05 0.2230E-04 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101 0.1570E+06 0.2839E-04 0.1382E+08 | 0.1115E-13 0.00 0.4954E-10 0.00 0.1748E-15 0.00 + 102 0.1689E+06 0.1318E-04 0.7426E+07 | 0.9932E-10 0.00 0.1762E-14 0.00 0.000 0.00 + -------------------------------------------------------------------------------------------------------------- + sum | 0.1015E-01 99.91 0.1015E-01 99.89 0.1015E-01 99.90 + -------------------------------------------------------------------------------------------------------------- + + + *** ANSYS BINARY FILE STATISTICS + BUFFER SIZE USED= 16384 + 0.062 MB WRITTEN ON ELEMENT MATRIX FILE: file0.emat + 15.312 MB WRITTEN ON ELEMENT SAVED DATA FILE: file0.esav + 0.125 MB WRITTEN ON ASSEMBLED MATRIX FILE: file0.full + 0.125 MB WRITTEN ON MODAL MATRIX FILE: file0.mode + 0.562 MB WRITTEN ON SUBSTRUCTURE DOF SOLUTION FILE: file0.dsub + 0.750 MB WRITTEN ON RESULTS FILE: file0.rst + *************** Write FE CONNECTORS ********* + + WRITE OUT CONSTRAINT EQUATIONS TO FILE= file.ce + + *GET _NMODALSOLPROC FROM ACTI ITEM=NUMC VALUE= 2.00000000 + + FINISH SOLUTION PROCESSING + + + ***** ROUTINE COMPLETED ***** CP = 2.688 + + + + ALL CURRENT ANSYS DATA WRITTEN TO FILE NAME= file.db + FOR POSSIBLE RESUME FROM THIS POINT + + PRINTOUT RESUMED BY /GOP + + *GET _WALLASOL FROM ACTI ITEM=TIME WALL VALUE= 15.9844444 + + *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** + DISTRIBUTED ANSYS Academic Research + + 00208316 VERSION=WINDOWS x64 15:59:04 JUN 12, 2020 CP= 2.766 + + Piezo-APA95ML-3DElm--Modal (A5) + + + + ***** ANSYS RESULTS INTERPRETATION (POST1) ***** + + *** NOTE *** CP = 2.766 TIME= 15:59:04 + Reading results into the database (SET command) will update the current + displacement and force boundary conditions in the database with the + values from the results file for that load set. Note that any + subsequent solutions will use these values unless action is taken to + either SAVE the current values or not overwrite them (/EXIT,NOSAVE). + + PRINTOUT RESUMED BY /GOP + + Set Encoding of XML File to:ISO-8859-1 + + Set Output of XML File to: + PARM, , , , , , , , , , , , + , , , , , , , + + DATABASE WRITTEN ON FILE parm.xml + + EXIT THE ANSYS POST1 DATABASE PROCESSOR + + + ***** ROUTINE COMPLETED ***** CP = 3.625 + + + + PRINTOUT RESUMED BY /GOP + + *GET _WALLDONE FROM ACTI ITEM=TIME WALL VALUE= 15.9847222 + + PARAMETER _PREPTIME = 0.000000000 + + PARAMETER _SOLVTIME = 1.000000000 + + PARAMETER _POSTTIME = 1.000000000 + + PARAMETER _TOTALTIM = 2.000000000 + + *GET _DLBRATIO FROM ACTI ITEM=SOLU DLBR VALUE= 1.00000000 + + *GET _COMBTIME FROM ACTI ITEM=SOLU COMB VALUE= 0.217809000E-01 + --- Number of total nodes = 18 + --- Number of total elements = 2 + --- Element load balance ratio = 1 + --- Time to combine distributed files = 2.17809E-02 + + EXIT ANSYS WITHOUT SAVING DATABASE + + + NUMBER OF WARNING MESSAGES ENCOUNTERED= 3 + NUMBER OF ERROR MESSAGES ENCOUNTERED= 0 + ++--------- D I S T R I B U T E D A N S Y S S T A T I S T I C S ------------+ + +Release: 2020 R1 Build: 20.1 Update: UP20191203 Platform: WINDOWS x64 +Date Run: 06/12/2020 Time: 15:59 Process ID: 4220 +Operating System: Windows 10 (Build: 17763) + +Processor Model: Intel(R) Xeon(R) CPU E5-1620 v4 @ 3.50GHz + +Compiler: Intel(R) FORTRAN Compiler Version 19.0.0 (Build: 20190206) + Intel(R) C/C++ Compiler Version 19.0.0 (Build: 20190206) + Intel(R) Math Kernel Library Version 2019.0.3 Product Build 20190125 + +Number of machines requested : 1 +Total number of cores available : 8 +Number of physical cores available : 4 +Number of processes requested : 4 +Number of threads per process requested : 1 +Total number of cores requested : 4 (Distributed Memory Parallel) +MPI Type: INTELMPI +MPI Version: Intel(R) MPI Library 2018 Update 3 for Windows* OS + + +GPU Acceleration: Not Requested + +Job Name: file0 +Input File: dummy.dat + + Core Machine Name Working Directory + ----------------------------------------------------- + 0 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E + 1 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E + 2 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E + 3 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E + +Latency time from master to core 1 = 1.284 microseconds +Latency time from master to core 2 = 1.190 microseconds +Latency time from master to core 3 = 1.427 microseconds + +Communication speed from master to core 1 = 4034.11 MB/sec +Communication speed from master to core 2 = 4275.72 MB/sec +Communication speed from master to core 3 = 4061.51 MB/sec + +Total CPU time for main thread : 2.6 seconds +Total CPU time summed for all threads : 3.6 seconds + +Elapsed time spent obtaining a license : 0.9 seconds +Elapsed time spent pre-processing model (/PREP7) : 0.0 seconds +Elapsed time spent solution - preprocessing : 0.1 seconds +Elapsed time spent computing solution : 1.5 seconds +Elapsed time spent solution - postprocessing : 0.0 seconds +Elapsed time spent post-processing model (/POST1) : 0.3 seconds + +Eigensolver used : Block Lanczos +Equation solver computational rate : 0.1 Gflops + +Maximum total memory used : 226.0 MB +Maximum total memory allocated : 5184.0 MB +Total physical memory available : 64 GB + +Total amount of I/O written to disk : 0.0 GB +Total amount of I/O read from disk : 1.7 GB + ++------ E N D D I S T R I B U T E D A N S Y S S T A T I S T I C S -------+ + + + *---------------------------------------------------------------------------* + | | + | DISTRIBUTED ANSYS RUN COMPLETED | + | | + |---------------------------------------------------------------------------| + | | + | Ansys 2020 R1 Build 20.1 UP20191203 WINDOWS x64 | + | | + |---------------------------------------------------------------------------| + | | + | Database Requested(-db) 1024 MB Scratch Memory Requested 1024 MB | + | Maximum Database Used 7 MB Maximum Scratch Memory Used 165 MB | + | | + |---------------------------------------------------------------------------| + | | + | CP Time (sec) = 3.641 Time = 15:59:06 | + | Elapsed Time (sec) = 6.000 Date = 06/12/2020 | + | | + *---------------------------------------------------------------------------* diff --git a/figs/amplified_piezo_interface_nodes.png b/figs/amplified_piezo_interface_nodes.png new file mode 100644 index 0000000..bde23fd Binary files /dev/null and b/figs/amplified_piezo_interface_nodes.png differ diff --git a/figs/dynamics_act_disp_comp_mass.pdf b/figs/dynamics_act_disp_comp_mass.pdf new file mode 100644 index 0000000..5ae4ce8 Binary files /dev/null and b/figs/dynamics_act_disp_comp_mass.pdf differ diff --git a/figs/dynamics_act_disp_comp_mass.png 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a/figs/dynamics_force_force_sensor_comp_mass.png b/figs/dynamics_force_force_sensor_comp_mass.png new file mode 100644 index 0000000..f80efec Binary files /dev/null and b/figs/dynamics_force_force_sensor_comp_mass.png differ diff --git a/index.html b/index.html new file mode 100644 index 0000000..f20a0af --- /dev/null +++ b/index.html @@ -0,0 +1,728 @@ + + + + + + +Finite Element Model with Simscape + + + + + + + + + + + + +
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+

Finite Element Model with Simscape

+ + +
+

1 Amplified Piezoelectric Actuator - 3D elements

+
+

+The idea here is to: +

+
    +
  • export a FEM of an amplified piezoelectric actuator from Ansys to Matlab
    • +
  • import it into a Simscape model
    • +
  • compare the obtained dynamics
    • +
  • add 10kg mass on top of the actuator and identify the dynamics
    • +
  • compare with results from Ansys where 10kg are directly added to the FEM
    • +
+
+ +
+

1.1 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

+
+

+We first extract the stiffness and mass matrices. +

+
+
K = extractMatrix('piezo_amplified_3d_K.txt');
+M = extractMatrix('piezo_amplified_3d_M.txt');
+
+
+ +

+Then, we extract the coordinates of the interface nodes. +

+
+
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('piezo_amplified_3d.txt');
+
+
+ + + + +++ ++ + + + + + + + + + + + + + + + + + + + + + +
Total number of Nodes168959
Number of interface Nodes13
Number of Modes30
Size of M and K matrices108
+ + +
+

amplified_piezo_interface_nodes.png +

+

Figure 1: Interface Nodes for the Amplified Piezo Actuator

+
+ + + + +++ ++ ++ ++ ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 1: Coordinates of the interface nodes
Node iNode Numberx [m]y [m]z [m]
1.0168947.00.00.030.0
2.0168949.00.0-0.030.0
3.0168950.0-0.0350.00.0
4.0168951.0-0.0280.00.0
5.0168952.0-0.0210.00.0
6.0168953.0-0.0140.00.0
7.0168954.0-0.0070.00.0
8.0168955.00.00.00.0
9.0168956.00.0070.00.0
10.0168957.00.0140.00.0
11.0168958.00.0210.00.0
12.0168959.00.0350.00.0
13.0168960.00.0280.00.0
+ + + + +++ ++ ++ ++ ++ ++ ++ ++ ++ ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 2: First 10x10 elements of the Stiffness matrix
300000000.0-30000.08000.0-200.0-30.0-60000.020000000.0-4000.0500.08
-30000.0100000000.0400.030.0200.0-14000.0-8000000.0800.07
8000.0400.050000000.0-800000.0-300.0-40.0300.0100.05000000.040000.0
-200.030.0-800000.020000.051-10.0-2-40000.0-300.0
-30.0200.0-300.0540000.00.3-4-10.040.00.4
-60000.0-1-40.010.33000.07000.00.8-10.0003
20000000.04000.0300.0-10.0-47000.0300000000.020000.03000.080.0
-4000.0-8000000.0100.0-2-10.00.820000.0100000000.0-4000.0-100.0
500.0800.05000000.0-40000.040.0-13000.0-4000.050000000.0800000.0
8740000.0-300.00.40.000380.0-100.0800000.020000.0
+ + + + + +++ ++ ++ ++ ++ ++ ++ ++ ++ ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 3: First 10x10 elements of the Mass matrix
0.032e-06-2e-071e-082e-080.0002-0.0012e-07-8e-08-9e-10
2e-060.02-5e-077e-093e-082e-08-3e-070.0003-1e-081e-10
-2e-07-5e-070.02-9e-054e-09-1e-082e-07-2e-08-0.0006-5e-06
1e-087e-09-9e-051e-066e-114e-10-1e-093e-115e-063e-08
2e-083e-084e-096e-111e-062e-10-2e-092e-10-7e-09-4e-11
0.00022e-08-1e-084e-102e-102e-06-2e-06-1e-09-7e-10-9e-12
-0.001-3e-072e-07-1e-09-2e-09-2e-060.03-2e-06-1e-07-5e-09
2e-070.0003-2e-083e-112e-10-1e-09-2e-060.02-8e-07-1e-08
-8e-08-1e-08-0.00065e-06-7e-09-7e-10-1e-07-8e-070.029e-05
-9e-101e-10-5e-063e-08-4e-11-9e-12-5e-09-1e-089e-051e-06
+ +

+Using K, M and int_xyz, we can use the Reduced Order Flexible Solid simscape block. +

+
+
+ + +
+

1.2 Identification of the Dynamics

+
+

+The flexible element is imported using the Reduced Order Flexible Solid simscape block. +

+ +

+To model the actuator, an Internal Force block is added between the first and second nodes. +To model the sensors, a Relative Motion Sensor block is added between the second and the third nodes. +

+ +

+Two masses are fixed at the ends of the piezo-electric stack actuator. +

+ +

+We first set the mass to be zero. +

+
+
m = 0;
+
+
+ +

+The dynamics is identified from the applied force to the measured relative displacement. +

+ +
+
%% Name of the Simulink File
+mdl = 'piezo_amplified_3d';
+
+%% Input/Output definition
+clear io; io_i = 1;
+io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
+io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
+
+Gh = linearize(mdl, io);
+
+
+ +

+Then, we add 10Kg of mass: +

+
+
m = 10;
+
+
+ +

+And the dynamics is identified. +

+ +

+The two identified dynamics are compared in Figure 2. +

+ +
+
%% Name of the Simulink File
+mdl = 'piezo_amplified_3d';
+
+%% Input/Output definition
+clear io; io_i = 1;
+io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
+io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
+
+Ghm = linearize(mdl, io);
+
+
+ + +
+

dynamics_act_disp_comp_mass.png +

+

Figure 2: Dynamics from \(F\) to \(d\) without a payload and with a 10kg payload

+
+
+
+ +
+

1.3 Comparison with Ansys

+
+

+Let’s import the results from an Harmonic response analysis in Ansys. +

+
+
Gresp0 = readtable('FEA_HarmResponse_00kg.txt');
+Gresp10 = readtable('FEA_HarmResponse_10kg.txt');
+
+
+ + +
+

dynamics_force_disp_comp_anasys.png +

+

Figure 3: Comparison of the obtained dynamics using Simscape with the harmonic response analysis using Ansys

+
+
+
+ +
+

1.4 Force Sensor

+
+
+
m = 0;
+
+
+ +
+
%% Name of the Simulink File
+mdl = 'piezo_amplified_3d';
+
+%% Input/Output definition
+clear io; io_i = 1;
+io(io_i) = linio([mdl, '/Fa'], 1, 'openinput');  io_i = io_i + 1;
+io(io_i) = linio([mdl, '/Fs'], 1, 'openoutput'); io_i = io_i + 1;
+
+Gf = linearize(mdl, io);
+
+
+ +
+
m = 10;
+
+
+ +
+
%% Name of the Simulink File
+mdl = 'piezo_amplified_3d';
+
+%% Input/Output definition
+clear io; io_i = 1;
+io(io_i) = linio([mdl, '/Fa'], 1, 'openinput');  io_i = io_i + 1;
+io(io_i) = linio([mdl, '/Fs'], 1, 'openoutput'); io_i = io_i + 1;
+
+Gfm = linearize(mdl, io);
+
+
+ + +
+

dynamics_force_force_sensor_comp_mass.png +

+

Figure 4: Dynamics from \(F\) to \(F_m\) for \(m=0\) and \(m = 10kg\)

+
+
+
+
+
+
+

Author: Dehaeze Thomas

+

Created: 2020-06-14 dim. 12:22

+
+ + diff --git a/index.org b/index.org new file mode 100644 index 0000000..8137af7 --- /dev/null +++ b/index.org @@ -0,0 +1,371 @@ +#+TITLE: Finite Element Model with Simscape +:DRAWER: +#+STARTUP: overview + +#+LANGUAGE: en +#+EMAIL: dehaeze.thomas@gmail.com +#+AUTHOR: Dehaeze Thomas + +#+HTML_LINK_HOME: ./index.html +#+HTML_LINK_UP: ./index.html + +#+HTML_HEAD: +#+HTML_HEAD: +#+HTML_HEAD: +#+HTML_HEAD: +#+HTML_HEAD: +#+HTML_HEAD: + +#+PROPERTY: header-args:matlab :session *MATLAB* +#+PROPERTY: header-args:matlab+ :comments org +#+PROPERTY: header-args:matlab+ :results none +#+PROPERTY: header-args:matlab+ :exports both +#+PROPERTY: header-args:matlab+ :eval no-export +#+PROPERTY: header-args:matlab+ :output-dir figs +#+PROPERTY: header-args:matlab+ :tangle no +#+PROPERTY: header-args:matlab+ :mkdirp yes + +#+PROPERTY: header-args:shell :eval no-export + +#+PROPERTY: header-args:latex :headers '("\\usepackage{tikz}" "\\usepackage{import}" "\\import{$HOME/Cloud/tikz/org/}{config.tex}") +#+PROPERTY: header-args:latex+ :imagemagick t :fit yes +#+PROPERTY: header-args:latex+ :iminoptions -scale 100% -density 150 +#+PROPERTY: header-args:latex+ :imoutoptions -quality 100 +#+PROPERTY: header-args:latex+ :results raw replace :buffer no +#+PROPERTY: header-args:latex+ :eval no-export +#+PROPERTY: header-args:latex+ :exports results +#+PROPERTY: header-args:latex+ :mkdirp yes +#+PROPERTY: header-args:latex+ :output-dir figs +:END: + +* Amplified Piezoelectric Actuator - 3D elements +** Introduction :ignore: +The idea here is to: +- export a FEM of an amplified piezoelectric actuator from Ansys to Matlab +- import it into a Simscape model +- compare the obtained dynamics +- add 10kg mass on top of the actuator and identify the dynamics +- compare with results from Ansys where 10kg are directly added to the FEM + +** Matlab Init :noexport:ignore: +#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name) + <> +#+end_src + +#+begin_src matlab :exports none :results silent :noweb yes + <> +#+end_src + +#+begin_src matlab + addpath('./src/'); + addpath('./data/piezo_amplified_3d/'); +#+end_src + +#+begin_src matlab :exports none + open('piezo_amplified_3d'); +#+end_src + +** Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates +We first extract the stiffness and mass matrices. +#+begin_src matlab + K = extractMatrix('piezo_amplified_3d_K.txt'); + M = extractMatrix('piezo_amplified_3d_M.txt'); +#+end_src + +Then, we extract the coordinates of the interface nodes. +#+begin_src matlab + [int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('piezo_amplified_3d.txt'); +#+end_src + +#+begin_src matlab :exports results :results value table replace :tangle no + data2orgtable([length(n_i); length(int_i); size(M,1) - 6*length(int_i); size(M,1)], {'Total number of Nodes', 'Number of interface Nodes', 'Number of Modes', 'Size of M and K matrices'}, {}, ' %.0f '); +#+end_src + +#+RESULTS: +| Total number of Nodes | 168959 | +| Number of interface Nodes | 13 | +| Number of Modes | 30 | +| Size of M and K matrices | 108 | + +#+name: fig:amplified_piezo_interface_nodes +#+caption: Interface Nodes for the Amplified Piezo Actuator +[[file:figs/amplified_piezo_interface_nodes.png]] + +#+begin_src matlab :exports results :results value table replace :tangle no :post addhdr(*this*) + data2orgtable([[1:length(int_i)]', int_i, int_xyz], {}, {'Node i', 'Node Number', 'x [m]', 'y [m]', 'z [m]'}, ' %f '); +#+end_src + +#+caption: Coordinates of the interface nodes +#+RESULTS: +| Node i | Node Number | x [m] | y [m] | z [m] | +|--------+-------------+--------+-------+-------| +| 1.0 | 168947.0 | 0.0 | 0.03 | 0.0 | +| 2.0 | 168949.0 | 0.0 | -0.03 | 0.0 | +| 3.0 | 168950.0 | -0.035 | 0.0 | 0.0 | +| 4.0 | 168951.0 | -0.028 | 0.0 | 0.0 | +| 5.0 | 168952.0 | -0.021 | 0.0 | 0.0 | +| 6.0 | 168953.0 | -0.014 | 0.0 | 0.0 | +| 7.0 | 168954.0 | -0.007 | 0.0 | 0.0 | +| 8.0 | 168955.0 | 0.0 | 0.0 | 0.0 | +| 9.0 | 168956.0 | 0.007 | 0.0 | 0.0 | +| 10.0 | 168957.0 | 0.014 | 0.0 | 0.0 | +| 11.0 | 168958.0 | 0.021 | 0.0 | 0.0 | +| 12.0 | 168959.0 | 0.035 | 0.0 | 0.0 | +| 13.0 | 168960.0 | 0.028 | 0.0 | 0.0 | + +#+begin_src matlab :exports results :results value table replace :tangle no + data2orgtable(K(1:10, 1:10), {}, {}, ' %.1g '); +#+end_src + +#+caption: First 10x10 elements of the Stiffness matrix +#+RESULTS: +| 300000000.0 | -30000.0 | 8000.0 | -200.0 | -30.0 | -60000.0 | 20000000.0 | -4000.0 | 500.0 | 8 | +| -30000.0 | 100000000.0 | 400.0 | 30.0 | 200.0 | -1 | 4000.0 | -8000000.0 | 800.0 | 7 | +| 8000.0 | 400.0 | 50000000.0 | -800000.0 | -300.0 | -40.0 | 300.0 | 100.0 | 5000000.0 | 40000.0 | +| -200.0 | 30.0 | -800000.0 | 20000.0 | 5 | 1 | -10.0 | -2 | -40000.0 | -300.0 | +| -30.0 | 200.0 | -300.0 | 5 | 40000.0 | 0.3 | -4 | -10.0 | 40.0 | 0.4 | +| -60000.0 | -1 | -40.0 | 1 | 0.3 | 3000.0 | 7000.0 | 0.8 | -1 | 0.0003 | +| 20000000.0 | 4000.0 | 300.0 | -10.0 | -4 | 7000.0 | 300000000.0 | 20000.0 | 3000.0 | 80.0 | +| -4000.0 | -8000000.0 | 100.0 | -2 | -10.0 | 0.8 | 20000.0 | 100000000.0 | -4000.0 | -100.0 | +| 500.0 | 800.0 | 5000000.0 | -40000.0 | 40.0 | -1 | 3000.0 | -4000.0 | 50000000.0 | 800000.0 | +| 8 | 7 | 40000.0 | -300.0 | 0.4 | 0.0003 | 80.0 | -100.0 | 800000.0 | 20000.0 | + + +#+begin_src matlab :exports results :results value table replace :tangle no + data2orgtable(M(1:10, 1:10), {}, {}, ' %.1g '); +#+end_src + +#+caption: First 10x10 elements of the Mass matrix +#+RESULTS: +| 0.03 | 2e-06 | -2e-07 | 1e-08 | 2e-08 | 0.0002 | -0.001 | 2e-07 | -8e-08 | -9e-10 | +| 2e-06 | 0.02 | -5e-07 | 7e-09 | 3e-08 | 2e-08 | -3e-07 | 0.0003 | -1e-08 | 1e-10 | +| -2e-07 | -5e-07 | 0.02 | -9e-05 | 4e-09 | -1e-08 | 2e-07 | -2e-08 | -0.0006 | -5e-06 | +| 1e-08 | 7e-09 | -9e-05 | 1e-06 | 6e-11 | 4e-10 | -1e-09 | 3e-11 | 5e-06 | 3e-08 | +| 2e-08 | 3e-08 | 4e-09 | 6e-11 | 1e-06 | 2e-10 | -2e-09 | 2e-10 | -7e-09 | -4e-11 | +| 0.0002 | 2e-08 | -1e-08 | 4e-10 | 2e-10 | 2e-06 | -2e-06 | -1e-09 | -7e-10 | -9e-12 | +| -0.001 | -3e-07 | 2e-07 | -1e-09 | -2e-09 | -2e-06 | 0.03 | -2e-06 | -1e-07 | -5e-09 | +| 2e-07 | 0.0003 | -2e-08 | 3e-11 | 2e-10 | -1e-09 | -2e-06 | 0.02 | -8e-07 | -1e-08 | +| -8e-08 | -1e-08 | -0.0006 | 5e-06 | -7e-09 | -7e-10 | -1e-07 | -8e-07 | 0.02 | 9e-05 | +| -9e-10 | 1e-10 | -5e-06 | 3e-08 | -4e-11 | -9e-12 | -5e-09 | -1e-08 | 9e-05 | 1e-06 | + +Using =K=, =M= and =int_xyz=, we can use the =Reduced Order Flexible Solid= simscape block. + + +** Identification of the Dynamics +The flexible element is imported using the =Reduced Order Flexible Solid= simscape block. + +To model the actuator, an =Internal Force= block is added between the first and second nodes. +To model the sensors, a =Relative Motion Sensor= block is added between the second and the third nodes. + +Two masses are fixed at the ends of the piezo-electric stack actuator. + +We first set the mass to be zero. +#+begin_src matlab + m = 0; +#+end_src + +The dynamics is identified from the applied force to the measured relative displacement. + +#+begin_src matlab + %% Name of the Simulink File + mdl = 'piezo_amplified_3d'; + + %% Input/Output definition + clear io; io_i = 1; + io(io_i) = linio([mdl, '/F'], 1, 'openinput'); io_i = io_i + 1; + io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1; + + Gh = linearize(mdl, io); +#+end_src + +Then, we add 10Kg of mass: +#+begin_src matlab + m = 10; +#+end_src + +And the dynamics is identified. + +The two identified dynamics are compared in Figure [[fig:dynamics_act_disp_comp_mass]]. + +#+begin_src matlab + %% Name of the Simulink File + mdl = 'piezo_amplified_3d'; + + %% Input/Output definition + clear io; io_i = 1; + io(io_i) = linio([mdl, '/F'], 1, 'openinput'); io_i = io_i + 1; + io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1; + + Ghm = linearize(mdl, io); +#+end_src + +#+begin_src matlab :exports none + freqs = logspace(1, 5, 5000); + + figure; + + ax1 = subplot(2,1,1); + hold on; + plot(freqs, abs(squeeze(freqresp(Gh, freqs, 'Hz'))), '-'); + plot(freqs, abs(squeeze(freqresp(Ghm, freqs, 'Hz'))), '-'); + hold off; + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); + ylabel('Amplitude'); set(gca, 'XTickLabel',[]); + hold off; + + ax2 = subplot(2,1,2); + hold on; + plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Gh, freqs, 'Hz')))), '-', ... + 'DisplayName', '$m = 0kg$'); + plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Ghm, freqs, 'Hz')))), '-', ... + 'DisplayName', '$m = 10kg$'); + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin'); + yticks(-360:90:360); + ylim([-360 0]); + xlabel('Frequency [Hz]'); ylabel('Phase [deg]'); + hold off; + linkaxes([ax1,ax2],'x'); + xlim([freqs(1), freqs(end)]); + legend('location', 'southwest'); +#+end_src + +#+begin_src matlab :tangle no :exports results :results file replace + exportFig('figs/dynamics_act_disp_comp_mass.pdf', 'width', 'full', 'height', 'full'); +#+end_src + +#+name: fig:dynamics_act_disp_comp_mass +#+caption: Dynamics from $F$ to $d$ without a payload and with a 10kg payload +#+RESULTS: +[[file:figs/dynamics_act_disp_comp_mass.png]] + +** Comparison with Ansys +Let's import the results from an Harmonic response analysis in Ansys. +#+begin_src matlab + Gresp0 = readtable('FEA_HarmResponse_00kg.txt'); + Gresp10 = readtable('FEA_HarmResponse_10kg.txt'); +#+end_src + +#+begin_src matlab :exports none + freqs = logspace(1, 5, 1000); + + figure; + + ax1 = subplot(2,1,1); + hold on; + set(gca,'ColorOrderIndex',1) + plot(freqs, abs(squeeze(freqresp(Gh, freqs, 'Hz'))), '-'); + set(gca,'ColorOrderIndex',1) + plot(Gresp0{:, 2}, 1e-3*Gresp0{:, 3}, '--'); + + set(gca,'ColorOrderIndex',2) + plot(freqs, abs(squeeze(freqresp(Ghm, freqs, 'Hz'))), '-'); + set(gca,'ColorOrderIndex',2) + plot(Gresp0{:, 2}, 1e-3*Gresp10{:, 3}, '--'); + hold off; + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); + ylabel('Amplitude'); set(gca, 'XTickLabel',[]); + hold off; + + ax2 = subplot(2,1,2); + hold on; + set(gca,'ColorOrderIndex',1) + plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Gh, freqs, 'Hz')))), '-', ... + 'DisplayName', '$m = 0kg$, Simscape'); + set(gca,'ColorOrderIndex',1) + plot(Gresp0{:, 2}, 180/pi*unwrap(pi/180*Gresp0{:, 4}), '--', ... + 'DisplayName', '$m = 0kg$, Ansys'); + set(gca,'ColorOrderIndex',2) + plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Ghm, freqs, 'Hz')))), '-', ... + 'DisplayName', '$m = 10kg$, Simscape'); + set(gca,'ColorOrderIndex',2) + plot(Gresp0{:, 2}, 180/pi*unwrap(pi/180*Gresp10{:, 4}), '--', ... + 'DisplayName', '$m = 10kg$, Ansys'); + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin'); + yticks(-360:90:360); + ylim([-390 30]); + xlabel('Frequency [Hz]'); ylabel('Phase [deg]'); + hold off; + linkaxes([ax1,ax2],'x'); + xlim([freqs(1), freqs(end)]); +#+end_src + +#+begin_src matlab :tangle no :exports results :results file replace + exportFig('figs/dynamics_force_disp_comp_anasys.pdf', 'width', 'full', 'height', 'full'); +#+end_src + +#+name: fig:dynamics_force_disp_comp_anasys +#+caption: Comparison of the obtained dynamics using Simscape with the harmonic response analysis using Ansys +#+RESULTS: +[[file:figs/dynamics_force_disp_comp_anasys.png]] + +** Force Sensor +#+begin_src matlab + m = 0; +#+end_src + +#+begin_src matlab + %% Name of the Simulink File + mdl = 'piezo_amplified_3d'; + + %% Input/Output definition + clear io; io_i = 1; + io(io_i) = linio([mdl, '/Fa'], 1, 'openinput'); io_i = io_i + 1; + io(io_i) = linio([mdl, '/Fs'], 1, 'openoutput'); io_i = io_i + 1; + + Gf = linearize(mdl, io); +#+end_src + +#+begin_src matlab + m = 10; +#+end_src + +#+begin_src matlab + %% Name of the Simulink File + mdl = 'piezo_amplified_3d'; + + %% Input/Output definition + clear io; io_i = 1; + io(io_i) = linio([mdl, '/Fa'], 1, 'openinput'); io_i = io_i + 1; + io(io_i) = linio([mdl, '/Fs'], 1, 'openoutput'); io_i = io_i + 1; + + Gfm = linearize(mdl, io); +#+end_src + +#+begin_src matlab :exports none + freqs = logspace(1, 5, 1000); + + figure; + + ax1 = subplot(2,1,1); + hold on; + plot(freqs, abs(squeeze(freqresp(Gf, freqs, 'Hz'))), '-'); + plot(freqs, abs(squeeze(freqresp(Gfm, freqs, 'Hz'))), '-'); + hold off; + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); + ylabel('Amplitude'); set(gca, 'XTickLabel',[]); + hold off; + + ax2 = subplot(2,1,2); + hold on; + plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Gf, freqs, 'Hz')))), '-', ... + 'DisplayName', '$m = 1kg$'); + plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Gfm, freqs, 'Hz')))), '-', ... + 'DisplayName', '$m = 1kg$'); + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin'); + yticks(-360:90:360); + ylim([-390 30]); + xlabel('Frequency [Hz]'); ylabel('Phase [deg]'); + hold off; + linkaxes([ax1,ax2],'x'); + xlim([freqs(1), freqs(end)]); + legend('location', 'southwest'); +#+end_src + +#+begin_src matlab :tangle no :exports results :results file replace + exportFig('figs/dynamics_force_force_sensor_comp_mass.pdf', 'width', 'full', 'height', 'full'); +#+end_src + +#+name: fig:dynamics_force_force_sensor_comp_mass +#+caption: Dynamics from $F$ to $F_m$ for $m=0$ and $m = 10kg$ +#+RESULTS: +[[file:figs/dynamics_force_force_sensor_comp_mass.png]] diff --git a/js/bootstrap.min.js b/js/bootstrap.min.js new file mode 100644 index 0000000..c8f82e5 --- /dev/null +++ b/js/bootstrap.min.js @@ -0,0 +1,7 @@ +/*! + * Bootstrap v3.3.4 (http://getbootstrap.com) + * Copyright 2011-2015 Twitter, Inc. + * Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE) + */ +if("undefined"==typeof jQuery)throw new Error("Bootstrap's JavaScript requires jQuery");+function(a){"use strict";var b=a.fn.jquery.split(" ")[0].split(".");if(b[0]<2&&b[1]<9||1==b[0]&&9==b[1]&&b[2]<1)throw new Error("Bootstrap's JavaScript requires jQuery version 1.9.1 or higher")}(jQuery),+function(a){"use strict";function b(){var 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