Modeling Loose Joints in Elastic Structures— Simulation Algorithm and Results

Abstract

This is the third paper in a four companion paper sequence. In these papers, a hybrid parameter multiple body system (HPMBS) methodology is utilized to model the frictional contact/impact of a loose bolted joint between two sections of a cantilever beam undergoing planar slewing motion. In this preliminary model, a “rigid” joint is utilized, allowing the members of the joint to be rigid, each attached to an elastic beam section. Frictional contact/impact is modeled at four contact points. The contact constraints and momentum transfer are modeled with the idea of instantly applied nonholonomic constraints. In this paper, the contact and switching algorithms, the numerical solution scheme, and simulation results are presented. The theoretical model of the variable structure dynamic system, the momentum transfer equations and the experimental comparison are presented elsewhere. The motivation for this work is the need for accurate low order models of complicated nonlinear phenomena in structural systems.