Overview
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11680ab4279f4d9d1f2e0d539501ad14 |
User & Date: | gawthrop@users.sourceforge.net on 1999-12-20 09:36:24 |
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Context
1999-12-21
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08:07:38 | Initial revision check-in: 73a0ba1bf0 user: gawthrop@users.sourceforge.net tags: origin/master, trunk | |
1999-12-20
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09:36:24 | *** empty log message *** check-in: 11680ab427 user: gawthrop@users.sourceforge.net tags: origin/master, trunk | |
06:26:39 | Now writes out the matrix sizes check-in: 0559ac205a user: gawthrop@users.sourceforge.net tags: origin/master, trunk | |
Changes
Modified mttroot/mtt/lib/examples/Hybrid/BouncingRod/BouncingRod_desc.tex from [850ed35ecc] to [a49ffd6db2].
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | % Verbal description for system BouncingRod (BouncingRod_desc.tex) % Generated by MTT on Sun Jul 6 17:21:23 BST 1997. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %% Version control history % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %% $Id$ % %% $Log$ % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 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 | > > > | > > > > > > > > > > > > | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 | % Verbal description for system BouncingRod (BouncingRod_desc.tex) % Generated by MTT on Sun Jul 6 17:21:23 BST 1997. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %% 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 $\frac{1}{3} \text{kgm}^2$. 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 direction with compliance of $0.1 \text{mN}^{-1}$ and it is assumed that contact takes place at the rod tips only. There is no 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: |