A Numerical Method for the Dynamic Analysis of Mechanical Systems in Impact

Abstract

This paper develops a general procedure for solving mechanism problems where intermittent separations and impacts can occur between mating parts. The numerical technique employed to solve the problem identifies the onset of separation and gives the behavior of the mechanism during separation and impact. The Hertz law is used to find force displacement relationships in impact. Equations of motion are generated by using Hamilton’s principle. A key contribution of this paper is the development of a general approach to the handling of constraint conditions that occur during the separation and impact phase of the motion. Example problems are solved to illustrate the generality and breadth of the method of solution.