File mttroot/mtt/lib/examples/Mechanical/Mechanical-2D/gTwoLink/gTwoLink_desc.tex artifact c73da6dfdc part of check-in aca770446b


% Verbal description for system gTwoLink (gTwoLink_desc.tex)
% Generated by MTT on Fri Jun 13 16:30:23 BST 1997.

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% %% Revision 1.1  1998/01/19 14:20:07  peterg
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% Revision 1.1  1997/08/15  13:31:00  peterg
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   The acausal bond graph of system \textbf{gTwoLink} is
   displayed in Figure \Ref{gTwoLink_abg} and its label
   file is listed in Section \Ref{sec:gTwoLink_lbl}.
   The subsystems are listed in Section \Ref{sec:gTwoLink_sub}.

This is a heirachical version of the example from Section 10.5 of
"Metamodelling".  It uses the compound components: {\bf ROD}.  {\bf
ROD} is essentially as described in Figure 10.2.
Gravity is included as discussed in "Metamodelling" by accelerating
the manipulator vertically using the {\bf ACCEL} component.

This system has a number of dynamic elements (those corresponding to
translation motion) in derivative causality, thus the system is
represnted as a Differential-Algebraic Equation (Section
\Ref{sec:gTwoLink_dae.tex}). Hovever, this
is of contrained-state form and therfore can be written as a set of
constrained-state equations (Section \Ref{sec:gTwoLink_cse.tex}). The
corresponding ordinary differential equation is complicated due to the
trig functions involved in inverting the E matrix.

As well as the standard representation the ``robot-form'' equations
appear in Section  \Ref{sec:gTwoLink_rfe.tex}. 

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