An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms

Abstract

This paper proposes a numerical procedure based on the well-known Newmark integration method to determine initial conditions for the periodic solution of a System of linear dilKerential equations with time-periodic coeffidents. Based on this, steady-state pe- riodic vibrations of mechanisms with elastic elements govemed by Imearixed differential equations with tữne-periođic coeííỉcients can be conveniently calculated. The proposed procedure is demonstĩated by a dynamic model of a planar four-bar mechanism with the flexible coupler.