Finite dynamic element analysis for high-speed flexible linkage mechanisms

Abstract

This paper develops the generalized equations of motion for high-speed planar elastic mechanism systems by utilizing finite dynamic element theory, in which the gross motion and elastic deformation coupling terms are taken into account. The dynamic shape functions of a planar frame element, which include the influence of shear deformation and moment of rotary inertia, are developed. An efficient closed-form interative modeling solution method is offered, and the convergence condition for the solution method is presented. Numerical solution results of some experimental mechanisms indicate that the simulation solution obtained by the presented analysis method agrees significantly better with the experimental data than that obtained by the traditional finite element method.