A Dynamic Substructuring Method for Elastoimpact Stress Analysis Using Finite Element Method

Abstract

A dynamic substructuring method is presented for the efficient calculation of the Finite Element Method. The method is mainly composed of the Runge-Kutta-Gill method, the lumped mass matrix, and the substructuring stiffness matrices. To verify the validity of the method, it is applied to the longitudinal elastoimpact analysis of two-dimensional elastic rods having a uniform cross section and a variable one in collision with a rigid wall. The calculated values of the substructuring models agree precisely with those of the whole rod models. The use of this method makes it effective to decrease computer memory capacity and computing time. If the method is combined with the condensation method, the impact behavior of two-dimensional and/or three-dimensional structures with complicated shapes can be calculated more efficiently using smaller computer memory capacity and shorter computing time.