Index: mttroot/mtt/lib/examples/Inverse/iTwoLink/itwolink_desc.tex ================================================================== --- mttroot/mtt/lib/examples/Inverse/iTwoLink/itwolink_desc.tex +++ mttroot/mtt/lib/examples/Inverse/iTwoLink/itwolink_desc.tex @@ -4,10 +4,13 @@ % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %% Version control history % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %% $Id$ % %% $Log$ +% Revision 1.1 1997/12/09 16:53:27 peterg +% Initial revision +% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% The acausal bond graph of system \textbf{itwolink} is displayed in Figure \Ref{itwolink_abg} and its label file is listed in Section \Ref{sec:itwolink_lbl}. @@ -17,14 +20,27 @@ dynamics using two identical simple mass-spring-damper systems as specification systems. The velocities $\omega_1=\omega_2$ specified by the specification systems are given in Figure \Ref{fig:itwolink_odeso.ps-itwolink-t1s} -together with the input defined in Section \Ref{sec:itwolink_input}. +together with the input defined in Section \Ref{sec:itwolink_input.txt}. The torques $\tau_1$ and $\tau_2$ required to give the these velocities specified by the specification system are given in Figures \Ref{fig:itwolink_odeso.ps-itwolink-t1} and \Ref{fig:itwolink_odeso.ps-itwolink-t2} respectively. -The corresponding velocity/torque diagrams for joint 1 appears in -\Ref{fig:itwolink_odeso.ps-itwolink-t1s:itwolink-t1}. +The corresponding velocity/torque diagrams for joints 1 and 2 appear in +Figures \Ref{fig:itwolink_odeso.ps-itwolink-t1s:itwolink-t1} +\Ref{fig:itwolink_odeso.ps-itwolink-t2s:itwolink-t2} respectively. +Such diagrams can be used for actuator sizing in terms of torque, +velocity and power. + + +This non-linear system can be linearised (about the various +configurations) and small-signal frequency response methods applied. +For example, the four transfer functions $G_11$ to $G_22$ in Section +\Ref{sec:itwolink_tf}, give the small-signal relations between the two +spec. torques and the required system torques. Used together with +$G_31$ and $G_42$ (relating the spec. torques and the joint +velocities) gives, in principle, a method for evaluating actuator +requirements (for small signals) as a function of frequency.