Change APA force notation from "tau" to "f"

figs/test_apa_2dof_model.svg

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figs/test_apa_2dof_model_simscape.svg

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test-bench-apa.org

@@ -1381,8 +1381,8 @@ The model of the amplified piezoelectric actuator is shown in Figure ref:fig:tes
 It can be decomposed into three components:
 - the shell whose axial properties are represented by $k_1$ and $c_1$
 - the actuator stacks whose contribution to the axial stiffness is represented by $k_a$ and $c_a$.
-  The force source $\tau$ represents the axial force induced by the force sensor stacks.
+  The force source $f$ represents the axial force induced by the force sensor stacks.
-  The sensitivity $g_a$ (in $N/m$) is used to convert the applied voltage $V_a$ to the axial force $\tau$
+  The sensitivity $g_a$ (in $N/m$) is used to convert the applied voltage $V_a$ to the axial force $f$
 - the sensor stack whose contribution to the axial stiffness is represented by $k_e$ and $c_e$.
   A sensor measures the stack strain $d_e$ which is then converted to a voltage $V_s$ using a sensitivity $g_s$ (in $V/m$)
 

test-bench-apa.tex

@@ -1,4 +1,4 @@
-% Created 2024-11-18 Mon 11:46
+% Created 2025-02-12 Wed 09:53
 % Intended LaTeX compiler: pdflatex
 \documentclass[a4paper, 10pt, DIV=12, parskip=full, bibliography=totoc]{scrreprt}
 
@@ -155,7 +155,7 @@ APA 7 & 4.85 & 9.85\\
 
 To compare the stroke of the APA300ML with the datasheet specifications, one side of the APA is fixed to the granite, and a displacement probe\footnote{Millimar 1318 probe, specified linearity better than \(1\,\mu m\)} is located on the other side as shown in Figure \ref{fig:test_apa_stroke_bench}.
 
-The voltage across the two actuator stacks is varied from \(-20\,V\) to \(150\,V\) using a DAC\footnote{The DAC used is the one included in the IO133 card sold by Speedgoat. It has an output range of \(\pm 10\,V\) and 16-bits resolution} and a voltage amplifier\footnote{PD200 from PiezoDrive. The gain is \(20\,V/V\)}.
+The voltage across the two actuator stacks is varied from \(-20\,V\) to \(150\,V\) using a DAC\footnote{The DAC used is the one included in the IO131 card sold by Speedgoat. It has an output range of \(\pm 10\,V\) and 16-bits resolution} and a voltage amplifier\footnote{PD200 from PiezoDrive. The gain is \(20\,V/V\)}.
 Note that the voltage is slowly varied as the displacement probe has a very low measurement bandwidth (see Figure \ref{fig:test_apa_stroke_voltage}).
 
 \begin{figure}[htbp]
@@ -535,8 +535,8 @@ It can be decomposed into three components:
 \begin{itemize}
 \item the shell whose axial properties are represented by \(k_1\) and \(c_1\)
 \item the actuator stacks whose contribution to the axial stiffness is represented by \(k_a\) and \(c_a\).
-The force source \(\tau\) represents the axial force induced by the force sensor stacks.
+The force source \(f\) represents the axial force induced by the force sensor stacks.
-The sensitivity \(g_a\) (in \(N/m\)) is used to convert the applied voltage \(V_a\) to the axial force \(\tau\)
+The sensitivity \(g_a\) (in \(N/m\)) is used to convert the applied voltage \(V_a\) to the axial force \(f\)
 \item the sensor stack whose contribution to the axial stiffness is represented by \(k_e\) and \(c_e\).
 A sensor measures the stack strain \(d_e\) which is then converted to a voltage \(V_s\) using a sensitivity \(g_s\) (in \(V/m\))
 \end{itemize}