Developments in the prediction of full field dynamics in the nonlinear forced response of reduced order system models

Abstract

Recent developments in the efficient modeling and reduction of finite element models (FEM) have been shown to provide a viable alternative to current approaches in the nonlinear simulation of computationally expensive detailed models of structural systems. This paper presents a summary of results in the prediction of nonlinear response from highly reduced order models interconnected with discrete nonlinear connections. The nonlinear response is approximated by piecewise linear solutions with reduction methodologies employed for the efficient computation; expansion is performed to retain system level response at a full set of FEM degrees of freedom and allows the calculation of stress and strain to ensure the practical usefulness of the techniques. Several cases will be shown here to illustrate the accuracy and efficiency of these methodologies in models with multiple components/cascaded configurations.