Finite element analysis on collision between two moving elastic bodies at low velocities

Abstract

In this paper, to analyze a collision between two moving elastic bodies at low velocities, a set of dynamic matrix differential equations is established, with the help of the minimum potential energy principle and variational principles. Owing to the existing nonlinearity in the relation of the impact force P and the local approach α in the impact force's direction, a linearized numerical method is used to solve the equations. As a numerical example, a longitudinal collision between two uniform circular rods with rounded ends being impacted is analyzed numerically, and the computed results are compared with those obtained from stress wave theories.