SQLITE_NOTICE(283): recovered 5 frames from WAL file /data/mtt.fossil-wal
File mttroot/mtt/lib/comp/compound/Electromechanical/CM/CM_desc.tex artifact 0b7d49b6d5 part of check-in 8641b82344
% Verbal description for system CM (CM_desc.tex) % Generated by MTT on Fri Sep 19 18:07:12 BST 1997. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %% Version control history % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %% $Id$ % %% $Log$ % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% The acausal bond graph of system \textbf{CM} is displayed in Figure \Ref{CM_abg} and its label file is listed in Section \Ref{sec:CM_lbl}. The subsystems are listed in Section \Ref{sec:CM_sub}. {\bf CM} is an electromechanical moving-plate capacitor with linear electrical capacitance $c$ of the form \begin{equation} c = c_0 \frac{x_0}{x} \end{equation} where $x_0$ is the plate separation corresponding to a capacitance of $c_0$. The corresponding electrical constitutive relationship (which gives an energy-conserving two-port \textbf{C}) is \begin{equation} F = Q c_0 \frac{x_0}{x^2} \end{equation} where $F$ is the force between the plates and $Q$ the charge on the capacitor. This is implemented in the \emph{cm.cr} Constitutive Relationship.