File mtt/lib/comp/compound/Sensitivity/sRS/sRS_desc.tex from the latest check-in


% -*-latex-*- Put EMACS into LaTeX-mode
% Verbal description for system sRS (sFMR_desc.tex)
% Generated by MTT on Thu Jul 5 23:47:35 BST 2001.

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% %% $Id$
% %% $Log$
% %% Revision 1.1  2001/07/06 01:17:14  gawthrop
% %% New sensitivity components (for extruder model)
% %%
% %% Revision 1.1  2000/12/28 09:13:38  peterg
% %% Initial revision
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   The acausal bond graph of system \textbf{sRS} is
   displayed in Figure \Ref{fig:sFMR_abg.ps} and its label
   file is listed in Section \Ref{sec:sFMR_lbl}.
   The subsystems are listed in Section \Ref{sec:sFMR_sub}.


This is the sensitivity version of the \textbf{FMR} (flow-modulated
resistor) component.

In the linear case, the CR of the standard port is:
\begin{equation}
  e = mrf
\end{equation}
where $e$ is the effort, $m$ the (flow) modulation, $r$ the
``resistance'' and $f$ the flow.

The corresponding sensitivity CR is:
\begin{equation}
  e^\prime  = m^\prime rf + mr^\prime f + mrf^\prime
\end{equation}

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