A large number of applications in engineering of mechanisms are geometrically non‐linear. A theory which deals with a rate‐field‐problem using the transfer matrix procedure based on macro elements is them fore developed. Velocities in connection with the integration procedure according to Runge‐Kutta 4‐th order for state variables of a prismatic beam are calculated. Element crossings were included and sliding joints were considered.
This paper describes a theory for dynamics simulation of non-linear elastically deformable mechanisms as a basis for compliant manipulators. The description of the mechanical structure based on local coordinates in a convective metric for one-dimensional structures is introduced. Besides the quasi-static case, loads related to mass inertial terms are taken into consideration. This changes the original first order set of linear differential equations into non-linear second order partial differential equations. Some numerical aspects for the generation of a solution for the initial boundary value problem described are discussed.
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