Modeling and Analysis of Impact System Composed of Ball and Plane.

This paper deals with modeling and analysis of an impact system, which is composed of ball and plane. An impact model considering both duration of impact and energy ioss is proposed. The Resultant force due to impact is formulated by introducing a complex stiffness coefficient in Hertz's contact theory. From the expression for the resultant force, the impact system is modeled by both a nonlinear spring and a nonlinear dashpot. The characteristics of the nonlinear spring is expressed by using Hertz's theory, and that of the nonlinear dashpot is expressed by a function of the displacement and the velocity. The model parameters are determined by the configuration, the material value and the coefficient of restitution in the impact system. Experiment and simulation are carried out to demonstrate the accuracy of the proposed model, and good agreement is shown.