Impact analysis of flexible mechanical system using load-dependent Ritz vectors

Abstract

The load-dependent Ritz vectors are tried as the basis of the generalized coordinates of the mechanical system to develop an efficient numerical package for the analysis of impact of the flexible mechanical system. Firstly, the flexible bodies are discretized by finite elements. Then, to reduce the number of generalized elastic coordinates resulting from the discretization, the load-dependent Ritz vectors are employed. Each of these vectors is obtained from the deflection by the unit force applied at a specific point of the elastic body. The impact surfaces of two bodies are modeled as a nonlinear spring-damper system. Comparisons of computational results using FEM full model, normal modes, and Ritz vectors are presented for three examples. It is shown that the load-dependent Ritz vectors provide efficient bases for the analyses of the impact problems of flexible mechanical systems. © 1994.