Initial Commit

.gitignore

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+mat/
+figures/
+ltximg/
+slprj/
+matlab/slprj/
+*.slxc
+
+
+# ============================================================
+# ============================================================
+# LATEX
+# ============================================================
+# ============================================================
+
+## Core latex/pdflatex auxiliary files:
+*.aux
+*.lof
+*.log
+*.lot
+*.fls
+*.out
+*.toc
+*.fmt
+*.fot
+*.cb
+*.cb2
+.*.lb
+
+## Intermediate documents:
+*.dvi
+*.xdv
+*-converted-to.*
+# these rules might exclude image files for figures etc.
+# *.ps
+# *.eps
+# *.pdf
+
+## Generated if empty string is given at "Please type another file name for output:"
+.pdf
+
+## Bibliography auxiliary files (bibtex/biblatex/biber):
+*.bbl
+*.bcf
+*.blg
+*-blx.aux
+*-blx.bib
+*.run.xml
+
+## Build tool auxiliary files:
+*.fdb_latexmk
+*.synctex
+*.synctex(busy)
+*.synctex.gz
+*.synctex.gz(busy)
+*.pdfsync
+
+## Build tool directories for auxiliary files
+# latexrun
+latex.out/
+
+## Auxiliary and intermediate files from other packages:
+# algorithms
+*.alg
+*.loa
+
+# achemso
+acs-*.bib
+
+# amsthm
+*.thm
+
+# beamer
+*.nav
+*.pre
+*.snm
+*.vrb
+
+# changes
+*.soc
+
+# cprotect
+*.cpt
+
+# elsarticle (documentclass of Elsevier journals)
+*.spl
+
+# endnotes
+*.ent
+
+# fixme
+*.lox
+
+# feynmf/feynmp
+*.mf
+*.mp
+*.t[1-9]
+*.t[1-9][0-9]
+*.tfm
+
+#(r)(e)ledmac/(r)(e)ledpar
+*.end
+*.?end
+*.[1-9]
+*.[1-9][0-9]
+*.[1-9][0-9][0-9]
+*.[1-9]R
+*.[1-9][0-9]R
+*.[1-9][0-9][0-9]R
+*.eledsec[1-9]
+*.eledsec[1-9]R
+*.eledsec[1-9][0-9]
+*.eledsec[1-9][0-9]R
+*.eledsec[1-9][0-9][0-9]
+*.eledsec[1-9][0-9][0-9]R
+
+# glossaries
+*.acn
+*.acr
+*.glg
+*.glo
+*.gls
+*.glsdefs
+
+# gnuplottex
+*-gnuplottex-*
+
+# gregoriotex
+*.gaux
+*.gtex
+
+# htlatex
+*.4ct
+*.4tc
+*.idv
+*.lg
+*.trc
+*.xref
+
+# hyperref
+*.brf
+
+# knitr
+*-concordance.tex
+# TODO Comment the next line if you want to keep your tikz graphics files
+*.tikz
+*-tikzDictionary
+
+# listings
+*.lol
+
+# makeidx
+*.idx
+*.ilg
+*.ind
+*.ist
+
+# minitoc
+*.maf
+*.mlf
+*.mlt
+*.mtc[0-9]*
+*.slf[0-9]*
+*.slt[0-9]*
+*.stc[0-9]*
+
+# minted
+_minted*
+*.pyg
+
+# morewrites
+*.mw
+
+# nomencl
+*.nlg
+*.nlo
+*.nls
+
+# pax
+*.pax
+
+# pdfpcnotes
+*.pdfpc
+
+# sagetex
+*.sagetex.sage
+*.sagetex.py
+*.sagetex.scmd
+
+# scrwfile
+*.wrt
+
+# sympy
+*.sout
+*.sympy
+sympy-plots-for-*.tex/
+
+# pdfcomment
+*.upa
+*.upb
+
+# pythontex
+*.pytxcode
+pythontex-files-*/
+
+# thmtools
+*.loe
+
+# TikZ & PGF
+*.dpth
+*.md5
+*.auxlock
+
+# todonotes
+*.tdo
+
+# easy-todo
+*.lod
+
+# xmpincl
+*.xmpi
+
+# xindy
+*.xdy
+
+# xypic precompiled matrices
+*.xyc
+
+# endfloat
+*.ttt
+*.fff
+
+# Latexian
+TSWLatexianTemp*
+
+## Editors:
+# WinEdt
+*.bak
+*.sav
+
+# Texpad
+.texpadtmp
+
+# LyX
+*.lyx~
+
+# Kile
+*.backup
+
+# KBibTeX
+*~[0-9]*
+
+# auto folder when using emacs and auctex
+./auto/*
+*.el
+
+# expex forward references with \gathertags
+*-tags.tex
+
+# standalone packages
+*.sta

.latexmkrc

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+#!/bin/env perl
+
+# Shebang is only to get syntax highlighting right across GitLab, GitHub and IDEs.
+# This file is not meant to be run, but read by `latexmk`.
+
+# ======================================================================================
+# Perl `latexmk` configuration file
+# ======================================================================================
+
+# ======================================================================================
+# PDF Generation/Building/Compilation
+# ======================================================================================
+
+@default_files=('modal-analysis.tex');
+
+# PDF-generating modes are:
+# 1: pdflatex, as specified by $pdflatex variable (still largely in use)
+# 2: postscript conversion, as specified by the $ps2pdf variable (useless)
+# 3: dvi conversion, as specified by the $dvipdf variable (useless)
+# 4: lualatex, as specified by the $lualatex variable (best)
+# 5: xelatex, as specified by the $xelatex variable (second best)
+$pdf_mode = 1;
+
+# Treat undefined references and citations as well as multiply defined references as
+# ERRORS instead of WARNINGS.
+# This is only checked in the *last* run, since naturally, there are undefined references
+# in initial runs.
+# This setting is potentially annoying when debugging/editing, but highly desirable
+# in the CI pipeline, where such a warning should result in a failed pipeline, since the
+# final document is incomplete/corrupted.
+#
+# However, I could not eradicate all warnings, so that `latexmk` currently fails with
+# this option enabled.
+# Specifically, `microtype` fails together with `fontawesome`/`fontawesome5`, see:
+# https://tex.stackexchange.com/a/547514/120853
+# The fix in that answer did not help.
+# Setting `verbose=silent` to mute `microtype` warnings did not work.
+# Switching between `fontawesome` and `fontawesome5` did not help.
+$warnings_as_errors = 0;
+
+# Show used CPU time. Looks like: https://tex.stackexchange.com/a/312224/120853
+$show_time = 1;
+
+# Default is 5; we seem to need more owed to the complexity of the document.
+# Actual documents probably don't need this many since they won't use all features,
+# plus won't be compiling from cold each time.
+$max_repeat=7;
+
+# --shell-escape option (execution of code outside of latex) is required for the
+#'svg' package.
+# It converts raw SVG files to the PDF+PDF_TEX combo using InkScape.
+#
+# SyncTeX allows to jump between source (code) and output (PDF) in IDEs with support
+# (many have it). A value of `1` is enabled (gzipped), `-1` is enabled but uncompressed,
+# `0` is off.
+# Testing in VSCode w/ LaTeX Workshop only worked for the compressed version.
+# Adjust this as needed. Of course, only relevant for local use, no effect on a remote
+# CI pipeline (except for slower compilation, probably).
+#
+# %O and %S will forward Options and the Source file, respectively, given to latexmk.
+#
+# `set_tex_cmds` applies to all *latex commands (latex, xelatex, lualatex, ...), so
+# no need to specify these each. This allows to simply change `$pdf_mode` to get a
+# different engine. Check if this works with `latexmk --commands`.
+set_tex_cmds("--shell-escape -interaction=nonstopmode --synctex=1 %O %S");
+
+# Use default pdf viewer
+$pdf_previewer = 'zathura';
+
+# option 2 is same as 1 (run biber when necessary), but also deletes the
+# regeneratable bbl-file in a clenaup (`latexmk -c`). Do not use if original
+# bib file is not available!
+$bibtex_use = 2;  # default: 1
+
+# Change default `biber` call, help catch errors faster/clearer. See
+# https://web.archive.org/web/20200526101657/https://www.semipol.de/2018/06/12/latex-best-practices.html#database-entries
+$biber = "biber --validate-datamodel %O %S";
+
+# Glossaries
+add_cus_dep('glo', 'gls', 0, 'run_makeglossaries');
+add_cus_dep('acn', 'acr', 0, 'run_makeglossaries');
+
+sub run_makeglossaries {
+  if ( $silent ) {
+    system "makeglossaries -q -s '$_[0].ist' '$_[0]'";
+  }
+  else {
+    system "makeglossaries -s '$_[0].ist' '$_[0]'";
+  };
+}
+
+# ======================================================================================
+# Auxiliary Files
+# ======================================================================================
+
+# Let latexmk know about generated files, so they can be used to detect if a
+# rerun is required, or be deleted in a cleanup.
+# loe: List of Examples (KOMAScript)
+# lol: List of Listings (`listings` and `minted` packages)
+# run.xml: biber runs
+# glg: glossaries log
+# glstex: generated from glossaries-extra
+push @generated_exts, 'loe', 'lol', 'run.xml', 'glstex', 'glo', 'gls', 'glg', 'acn', 'acr', 'alg';
+
+# Also delete the *.glstex files from package glossaries-extra. Problem is,
+# that that package generates files of the form "basename-digit.glstex" if
+# multiple glossaries are present. Latexmk looks for "basename.glstex" and so
+# does not find those. For that purpose, use wildcard.
+# Also delete files generated by gnuplot/pgfplots contour plots
+# (.dat, .script, .table).
+$clean_ext = "%R-*.glstex %R_contourtmp*.*";

figs/modal_aligned_accelerometers.svg

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+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
+<use xlink:href="#glyph-0-1" x="41.635448" y="45.701578"/>
+</g>
+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
+<use xlink:href="#glyph-1-5" x="39.468877" y="37.747837"/>
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+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
+<use xlink:href="#glyph-1-6" x="39.389339" y="37.747837"/>
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+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
+<use xlink:href="#glyph-2-2" x="44.391813" y="39.238789"/>
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+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
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+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
+<use xlink:href="#glyph-2-2" x="43.584464" y="19.279589"/>
+</g>
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+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
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+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
+<use xlink:href="#glyph-2-4" x="129.257334" y="124.105308"/>
+</g>
+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
+<use xlink:href="#glyph-1-7" x="146.942183" y="102.654157"/>
+</g>
+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
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+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
+<use xlink:href="#glyph-1-6" x="151.738337" y="102.654157"/>
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+<g fill="rgb(0%, 0%, 0%)" fill-opacity="1">
+<use xlink:href="#glyph-2-4" x="156.739156" y="104.14511"/>
+</g>
+</svg>

img/modes/generate_gif.sh

@@ -0,0 +1,67 @@
+convert mode1.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode1_crop.gif && \
+    convert mode2.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode2_crop.gif && \
+    convert mode3.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode3_crop.gif && \
+    convert mode4.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode4_crop.gif && \
+    convert mode5.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode5_crop.gif && \
+    convert mode6.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode6_crop.gif && \
+    convert mode7.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode7_crop.gif && \
+    convert mode8.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode8_crop.gif && \
+    convert mode9.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode9_crop.gif && \
+    convert mode10.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode10_crop.gif && \
+    convert mode11.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode11_crop.gif && \
+    convert mode12.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode12_crop.gif && \
+    convert mode13.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode13_crop.gif && \
+    convert mode14.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode14_crop.gif && \
+    convert mode15.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode15_crop.gif && \
+    convert mode16.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode16_crop.gif && \
+    convert mode17.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode17_crop.gif && \
+    convert mode18.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode18_crop.gif && \
+    convert mode19.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode19_crop.gif && \
+    convert mode20.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode20_crop.gif && \
+    convert mode21.gif -coalesce -repage 0x0 -crop 200x150+80+40 +repage mode21_crop.gif && \
+
+    convert mode1_crop.gif -repage 400x150  -coalesce null: \( mode2_crop.gif -coalesce \) -geometry +200+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif   -repage 600x150  -coalesce null: \( mode3_crop.gif -coalesce \) -geometry +400+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif   -repage 800x150  -coalesce null: \( mode4_crop.gif -coalesce \) -geometry +600+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif   -repage 1000x150 -coalesce null: \( mode5_crop.gif -coalesce \) -geometry +800+0 -layers Composite mode_12345_crop.gif && \
+
+    convert mode6_crop.gif -repage 400x150  -coalesce null: \( mode7_crop.gif  -coalesce \) -geometry +200+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif   -repage 600x150  -coalesce null: \( mode8_crop.gif  -coalesce \) -geometry +400+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif   -repage 800x150  -coalesce null: \( mode9_crop.gif  -coalesce \) -geometry +600+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif   -repage 1000x150 -coalesce null: \( mode10_crop.gif -coalesce \) -geometry +800+0 -layers Composite mode_678910_crop.gif && \
+
+    convert mode11_crop.gif -repage 400x150  -coalesce null: \( mode12_crop.gif -coalesce \) -geometry +200+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif    -repage 600x150  -coalesce null: \( mode13_crop.gif -coalesce \) -geometry +400+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif    -repage 800x150  -coalesce null: \( mode14_crop.gif -coalesce \) -geometry +600+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif    -repage 1000x150 -coalesce null: \( mode15_crop.gif -coalesce \) -geometry +800+0 -layers Composite mode_1112131415_crop.gif && \
+
+    convert mode16_crop.gif -repage 400x150  -coalesce null: \( mode17_crop.gif -coalesce \) -geometry +200+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif    -repage 600x150  -coalesce null: \( mode18_crop.gif -coalesce \) -geometry +400+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif    -repage 800x150  -coalesce null: \( mode19_crop.gif -coalesce \) -geometry +600+0 -layers Composite crop_int.gif && \
+    convert crop_int.gif    -repage 1000x150 -coalesce null: \( mode20_crop.gif -coalesce \) -geometry +800+0 -layers Composite mode_1617181920_crop.gif && \
+
+    convert mode_12345_crop.gif -repage 1000x300 -coalesce null: \( mode_678910_crop.gif     -coalesce \) -geometry +0+150 -layers Composite crop_int.gif
+    convert crop_int.gif        -repage 1000x450 -coalesce null: \( mode_1112131415_crop.gif -coalesce \) -geometry +0+300 -layers Composite crop_int.gif
+    convert crop_int.gif        -repage 1000x600 -coalesce null: \( mode_1617181920_crop.gif -coalesce \) -geometry +0+450 -layers Composite modes.gif
+    convert modes.gif -fill black -pointsize 25 -gravity South -font /usr/share/fonts/OTF/lmroman12-regular.otf \
+        -annotate -400+460 ' a) 11Hz '\
+        -annotate -200+460 ' b) 18Hz '\
+        -annotate   +0+460 ' c) 37Hz '\
+        -annotate +200+460 ' d) 40Hz '\
+        -annotate +400+460 ' e) 54Hz '\
+        -annotate -400+300 ' f) 56Hz '\
+        -annotate -200+300 ' g) 70Hz '\
+        -annotate   +0+300 ' h) 72Hz '\
+        -annotate +200+300 ' i) 72Hz '\
+        -annotate +400+300 ' j) 85Hz '\
+        -annotate -400+160 ' k) 90Hz '\
+        -annotate -200+160 ' l) 91Hz '\
+        -annotate   +0+160 ' m) 96Hz '\
+        -annotate +200+160 ' n) 105Hz '\
+        -annotate +400+160 ' o) 107Hz '\
+        -annotate -400+10  ' p) 113Hz '\
+        -annotate -200+10  ' q) 117Hz '\
+        -annotate   +0+10  ' r) 124Hz '\
+        -annotate +200+10  ' s) 145Hz '\
+        -annotate +400+10  ' t) 150Hz '\
+        modes_annotated.gif