Dynamic stability analysis of linkages with elastic members via analog simulation

Abstract

Small-amplitude flexural vibration of a slightly deformable binary link in a planar linkage is governed by a fourth-order parabolic partial differential equation. Specifically, for a slider- crank mechanism with an elastic connecting rod, stability charts are obtained via analog simulation on the basis of the principal modal equation of vibration. It is found that stability of the mechanism depends on three nondimensional parameters - length ratio, mass ratio, and rigidity-speed ratio. The procedure of dynamic stability analysis via analog simulation for the slider-crank may be applied to other planar linkages with elastic binary links.