有限元—传递矩阵法求解链式结构非线性系统的动力响应

本文提出一分析多自由度非线性振动系统时域响应的数值计算法,并就一三自由度非线性系统,分别计算了此系统具有一个非线性弹簧、两个非线性弹簧和三个非线性弹簧三种情况下的动态响应;通过与对应的线性系统响应结果的比较,验证了此法的有效性、可靠性和多种优点.

SOLUTION OF DYNAMIC RESPONSE FOR NONINEAR CHAIN STRUCTURAL SYSTEM BY FINITE ELEMENT-TRANSFER MATRIX METHOD

In this paper, a numerical method for calculating the response of nonlinear multi-degrees of freedom system in time domain is proposed. The basic idea of this method is elaborated, the formulation of the calculating formula for any direct integration procedure is given, the program for the IBM type mini-computer is designed. And the dynamic response for a nonlinear threedegrees of freedom system is calculated on the conditions that this system has one, two or three nonlinear springs respectively. The effectiveness, reliability and advantages of this method are proved by comparison with the results of the corresponding linear system.