ADDED mttroot/mtt/lib/examples/Mechanical/Mechanical-1D/Beams/PinnedBeam/PinnedBeam_desc.tex Index: mttroot/mtt/lib/examples/Mechanical/Mechanical-1D/Beams/PinnedBeam/PinnedBeam_desc.tex ================================================================== --- /dev/null +++ mttroot/mtt/lib/examples/Mechanical/Mechanical-1D/Beams/PinnedBeam/PinnedBeam_desc.tex @@ -0,0 +1,61 @@ +% -*-latex-*- Put EMACS into LaTeX-mode +% Verbal description for system PinnedBeam (PinnedBeam_desc.tex) +% Generated by MTT on Mon Apr 19 07:04:54 BST 1999. + +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% Version control history +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% $Id$ +% %% $Log$ +% %% Revision 1.1 1999/05/18 04:01:50 peterg +% %% Initial revision +% %% +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +The acausal bond graph of system \textbf{PinnedBeam} is displayed in +Figure \Ref{fig:PinnedBeam_abg.ps} and its label file is listed in +Section \Ref{sec:PinnedBeam_lbl}. The subsystems are listed in Section +\Ref{sec:PinnedBeam_sub}. + +This example represents the dynamics of a uniform beam with two pinned +ends. The left-hand end is driven by a torque input and the +corresponding collocated angular velocity is measured. The beam is +approximated by 20 equal lumps using the Bernoulli-Euler approximation +with damping. + +Because the two end lumps have different causality to the rest of the +beam lumps, they are represented seperately. + +The system parameters are given in Section +\Ref{sec:PinnedBeam_numpar.tex}. + + The system has 20 states (10 +modes of vibration), 1 inputs and 1 outputs. + +The first 5 vibration frequencies are given in Table \ref{tab:freq} +togtherr with the theoretical (based on the Bernoulli-Euler beam with +the same values of $EI$ and $\rho A$. +\begin{table}[htbp] + \begin{center} + \begin{tabular}{||l|l|l||} + \hline + \hline + Mode & Frequency & Theoretical frequency\\ + \hline + 1 & 119.44 & 119.69\\ + 2 & 474.83 & 479.02\\ + 3 &1057.41 &1078.09\\ + 4 &1852.85 &1914.86\\ + 5 &2841.54 &2992.95\\ + \hline + \hline + \end{tabular} + \caption{Mode frequencies (rad $s^{-1}$)} + \label{tab:freq} + \end{center} +\end{table} + + + + + ADDED mttroot/mtt/lib/examples/Mechanical/Mechanical-1D/Beams/PinnedBeam/PinnedBeam_lbl.txt Index: mttroot/mtt/lib/examples/Mechanical/Mechanical-1D/Beams/PinnedBeam/PinnedBeam_lbl.txt ================================================================== --- /dev/null +++ mttroot/mtt/lib/examples/Mechanical/Mechanical-1D/Beams/PinnedBeam/PinnedBeam_lbl.txt @@ -0,0 +1,37 @@ +%% Label file for system PinnedBeam (PinnedBeam_lbl.txt) +%SUMMARY PinnedBeam +%DESCRIPTION + +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% Version control history +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% $Id$ +% %% $Log$ +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +% Port aliases + +% Argument aliases + +%% Each line should be of one of the following forms: +% a comment (ie starting with %) +% component-name cr_name arg1,arg2,..argn +% blank + +% ---- Component labels ---- + +% Component type BernoulliEuler + Lump + LumpL + LumpR + +% Component type SS + ssL SS external,external + ssR SS 0,internal + +% Component type Sf + zeroL none 0 + zeroR none 0 + + ADDED mttroot/mtt/lib/examples/Mechanical/Mechanical-1D/Beams/PinnedBeam/PinnedBeam_rep.txt Index: mttroot/mtt/lib/examples/Mechanical/Mechanical-1D/Beams/PinnedBeam/PinnedBeam_rep.txt ================================================================== --- /dev/null +++ mttroot/mtt/lib/examples/Mechanical/Mechanical-1D/Beams/PinnedBeam/PinnedBeam_rep.txt @@ -0,0 +1,28 @@ +## -*-octave-*- Put Emacs into octave-mode +## Outline report file for system PinnedBeam (PinnedBeam_rep.txt) +## Generated by MTT on" Mon Apr 19 06:43:08 BST 1999. + +############################################################### +## Version control history +############################################################### +## $Id$ +## $Log$ +############################################################### + +mtt PinnedBeam abg tex # The system description +## mtt PinnedBeam cbg ps # The causal bond graph +## Uncomment the following lines or add others +mtt PinnedBeam struc tex # The system structure +## mtt PinnedBeam dae tex # The system dae +## mtt PinnedBeam ode tex # The system ode +## mtt PinnedBeam sspar tex # Steady-state parameters +## mtt PinnedBeam ss tex # Steady state +## mtt PinnedBeam dm tex # Descriptor matrices (of linearised system) +## mtt PinnedBeam sm tex # State matrices (of linearised system) +## mtt PinnedBeam tf tex # Transfer function (of linearised system) +mtt PinnedBeam simpar tex # Simulation parameters +mtt PinnedBeam numpar tex # Numerical simulation parameters +## mtt PinnedBeam input tex # Simulation input +## mtt PinnedBeam odeso ps # Simulation output +mtt PinnedBeam lmfr ps # log modulus of frequency response (of linearised system) +