Index: mttroot/mtt/lib/examples/Hybrid/BouncingRod/BouncingRod_desc.tex ================================================================== --- mttroot/mtt/lib/examples/Hybrid/BouncingRod/BouncingRod_desc.tex +++ mttroot/mtt/lib/examples/Hybrid/BouncingRod/BouncingRod_desc.tex @@ -4,20 +4,23 @@ % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %% Version control history % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %% $Id$ % %% $Log$ +% Revision 1.1 1997/07/06 16:35:20 peterg +% Initial revision +% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% The acausal bond graph of system \textbf{BouncingRod} is displayed in Figure \Ref{BouncingRod_abg} and its label file is listed in Section \Ref{sec:BouncingRod_lbl}. The subsystems are listed in Section \Ref{sec:BouncingRod_sub}. The system consists of a uniform rod of mass 1kg, length 2m (and -therefore of inertia about the mass centre of $frac{1}{3} +therefore of inertia about the mass centre of $\frac{1}{3} \text{kgm}^2$. The rod is released at an angle of $\frac{\pi}{4}$ from the vertical, the mass centre is $10\text{m}$ above the ground and all velocities are initially zero. The gravitational constant is taken as unity. The ground is modeled as an ideal compliance in the vertical @@ -26,8 +29,20 @@ horizontal resistance to motion. This idealised setup is modeled by a two {\bf CSW} components, one for each rod tip, modulated by the height of each rod tip above the ground: each {\bf CSW} is off when the corresponding height is positive. +The system was simulated for 100 time units and the resultant height +of each tip is plotted in Figure \ref{fig:BouncingRod_odeso.ps}. The rod was +released at zero velocity from a height of ten units and at an angle +of $\frac{\pi}{4}$ radians to the vertical. The oscillations in height +are due to rod rotation about its mass centre. The bounce height +changes due to energy transfer to and from the rod rotation about its +mass centre. + +%%% Local Variables: +%%% mode: plain-tex +%%% TeX-master: "yes" +%%% End: