diff --git a/nass-fem.org b/nass-fem.org index 8c1df44..8bf4837 100644 --- a/nass-fem.org +++ b/nass-fem.org @@ -1203,7 +1203,7 @@ Procedure: **** Introduction :ignore: Validation with Amplified Piezoelectric Actuator, because: -- is a good candidate for the nano-hexapod (as will be explained in Section ref:sec:detail_fem_apa) +- is a good candidate for the nano-hexapod (as will be explained in Section ref:sec:detail_fem_actuator) - had one in the lab for experimental testing (APA95ML, Figure ref:fig:detail_fem_apa95ml_picture) It is composed of several piezoelectric stacks (arranged horizontally, in blue), and a shell (in red) that amplifies the motion. The working direction of the APA95ML is vertical. - permits to model a mechanical structure (similar to a flexible joint), piezoelectric actuator and piezoelectric sensor @@ -1236,7 +1236,7 @@ Quick explanation of APA: - explain how the FEM is done: - material properties (Table ref:tab:detail_fem_material_properties) - - mesh (Figure ref:fig:detail_fem_apa95ml_fem) + - mesh (Figure ref:fig:detail_fem_apa95ml_mesh) - explain piezoelectric materials: - sensors - actuators @@ -1335,7 +1335,7 @@ From [[cite:&fleming14_desig_model_contr_nanop_system p. 123]], the relation bet \end{subequations} Unfortunately, it is difficult to know exactly which material is used in the amplified piezoelectric actuator[fn:1]. -However, based on the available properties of the stacks in the data-sheet (summarized in Table ref:tab:stack_parameters), the soft Lead Zirconate Titanate "THP5H" from Thorlabs seemed to match quite well the observed properties. +However, based on the available properties of the stacks in the data-sheet (summarized in Table ref:tab:detail_fem_stack_parameters), the soft Lead Zirconate Titanate "THP5H" from Thorlabs seemed to match quite well the observed properties. The properties of this "THP5H" material used to compute $g_a$ and $g_s$ are listed in Table ref:tab:test_apa_piezo_properties. From these parameters, $g_s = 5.1\,V/\mu m$ and $g_a = 26\,N/V$ were obtained. diff --git a/nass-fem.pdf b/nass-fem.pdf index 8a61090..7e0e4bb 100644 Binary files a/nass-fem.pdf and b/nass-fem.pdf differ diff --git a/nass-fem.tex b/nass-fem.tex index 676a75e..f817a2f 100644 --- a/nass-fem.tex +++ b/nass-fem.tex @@ -1,4 +1,4 @@ -% Created 2025-02-25 Tue 19:02 +% Created 2025-02-25 Tue 19:07 % Intended LaTeX compiler: pdflatex \documentclass[a4paper, 10pt, DIV=12, parskip=full, bibliography=totoc]{scrreprt} @@ -95,7 +95,7 @@ typically from hundred thousands to less than 100 DoF \label{ssec:detail_fem_super_element_validation} Validation with Amplified Piezoelectric Actuator, because: \begin{itemize} -\item is a good candidate for the nano-hexapod (as will be explained in Section \ref{sec:detail_fem_apa}) +\item is a good candidate for the nano-hexapod (as will be explained in Section \ref{sec:detail_fem_actuator}) \item had one in the lab for experimental testing (APA95ML, Figure \ref{fig:detail_fem_apa95ml_picture}) It is composed of several piezoelectric stacks (arranged horizontally, in blue), and a shell (in red) that amplifies the motion. The working direction of the APA95ML is vertical. \item permits to model a mechanical structure (similar to a flexible joint), piezoelectric actuator and piezoelectric sensor @@ -132,7 +132,7 @@ Stiffness & \(N/\mu m\) & 16\\ \item explain how the FEM is done: \begin{itemize} \item material properties (Table \ref{tab:detail_fem_material_properties}) -\item mesh (Figure \ref{fig:detail_fem_apa95ml_fem}) +\item mesh (Figure \ref{fig:detail_fem_apa95ml_mesh}) \end{itemize} \item explain piezoelectric materials: \begin{itemize} @@ -250,7 +250,7 @@ From \cite[p. 123]{fleming14_desig_model_contr_nanop_system}, the relation betwe \end{subequations} Unfortunately, it is difficult to know exactly which material is used in the amplified piezoelectric actuator\footnote{The manufacturer of the APA95ML was not willing to share the piezoelectric material properties of the stack.}. -However, based on the available properties of the stacks in the data-sheet (summarized in Table \ref{tab:stack_parameters}), the soft Lead Zirconate Titanate ``THP5H'' from Thorlabs seemed to match quite well the observed properties. +However, based on the available properties of the stacks in the data-sheet (summarized in Table \ref{tab:detail_fem_stack_parameters}), the soft Lead Zirconate Titanate ``THP5H'' from Thorlabs seemed to match quite well the observed properties. The properties of this ``THP5H'' material used to compute \(g_a\) and \(g_s\) are listed in Table \ref{tab:test_apa_piezo_properties}. From these parameters, \(g_s = 5.1\,V/\mu m\) and \(g_a = 26\,N/V\) were obtained.