ADDED mttroot/mtt/lib/comp/compound/Mechanical/Mechanical-1D/BernoulliEuler/BernoulliEuler_desc.tex Index: mttroot/mtt/lib/comp/compound/Mechanical/Mechanical-1D/BernoulliEuler/BernoulliEuler_desc.tex ================================================================== --- /dev/null +++ mttroot/mtt/lib/comp/compound/Mechanical/Mechanical-1D/BernoulliEuler/BernoulliEuler_desc.tex @@ -0,0 +1,48 @@ +% -*-latex-*- Put EMACS into LaTeX-mode +% Verbal description for system BernoulliEuler (BernoulliEuler_desc.tex) +% Generated by MTT on Mon Apr 19 06:43:36 BST 1999. + +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% Version control history +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% $Id$ +% %% $Log$ +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + The acausal bond graph of system \textbf{BernoulliEuler} is + displayed in Figure \Ref{fig:BernoulliEuler_abg.ps} and its label + file is listed in Section \Ref{sec:BernoulliEuler_lbl}. + The subsystems are listed in Section \Ref{sec:BernoulliEuler_sub}. + +This component represents one lump of a lumped model of a uniform beam +modelled using the the Bernoulli-Euler assumptions: +\begin{enumerate} +\item The shear forces can be neglected. +\item Rotational inertia can be neglected. +\end{enumerate} + +\begin{itemize} +\item The \textbf{I} component represents the inertial properties of + the lump in the perpendicular direction. In particular the velocity + of the lump $v$ is: + \begin{equation} + \dot v = \frac{\Delta f}{\Delta m} + \end{equation} + where $\Delta m$ is the lump mass and $\Delta f$ is the net vertical + force. +\item The \textbf{C} component represents the angular stiffness of the + lump. In particular the torque acting on the lump is: + \begin{equation} + \dot \tau = \Delta k \Delta \Omega + \end{equation} + where $\Delta k$ is the lump (angular) stiffness and $\Delta \Omega$ + is the net angular velocity. +\item The \textbf{TF} component represents the relation between the + angular domains + \begin{equation} + \begin{align} + \tau &= \Delta x \Delta f \\ + \Delta v &= \Delta x \Omega + \end{align} + \end{equation} +\end{itemize} ADDED mttroot/mtt/lib/comp/compound/Mechanical/Mechanical-1D/BernoulliEuler/BernoulliEuler_lbl.txt Index: mttroot/mtt/lib/comp/compound/Mechanical/Mechanical-1D/BernoulliEuler/BernoulliEuler_lbl.txt ================================================================== --- /dev/null +++ mttroot/mtt/lib/comp/compound/Mechanical/Mechanical-1D/BernoulliEuler/BernoulliEuler_lbl.txt @@ -0,0 +1,43 @@ +%% Label file for system BernoulliEuler (BernoulliEuler_lbl.txt) +%SUMMARY BernoulliEuler +%DESCRIPTION + +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% Version control history +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% $Id$ +% %% $Log$ +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +% Port aliases +%ALIAS in y_in,theta_in +%ALIAS out y_out,theta_out + +% Argument aliases +%ALIAS $1 dk +%ALIAS $2 dm +%ALIAS $3 dz +%ALIAS $4 dr_y + +%% 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 I + dm lin flow,dm + +% Component type C + dk lin state,dk + +% Component type SS + [y_in] SS external,external + [y_out] SS external,external + [theta_in] SS external,external + [theta_out] SS external,external + +% Component type TF + dz lin effort,dz