DYNAMICS OF UNSYMMETRIC PIECEWISE-LINEAR NON-LINEAR SYSTEMS USING FINITE ELEMENTS IN TIME

摘要

The dynamic response and stability of a single-degree-of-freedom system with unsymmetric piecewise-linearon-linear stiffness are analyzed using the finite element method in the time domain. Based on a Hamilton's weak principle, this method provides a simple and efficient approach for predicting all possible fundamental and sub-periodic responses. The stability of the steady state response is determined by using Floquet's theory without any special effort for calculating transition matrices. This method is applied to a number of examples, demonstrating its effectiveness even for a strongly non-linear problem involving both clearance and continuous stiffness non-linearities. Close agreement is found between available published findings and the predictions of the finite element in time approach, which appears to be an efficient and reliable alternative technique for non-linear dynamic response and stability analysis of periodic systems. (C) 1995 Academic Press Limited [References: 28]