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由Gurtin变分原理求解一维动力响应的半解析法
引用本文:彭建设,张敬宇.由Gurtin变分原理求解一维动力响应的半解析法[J].力学学报,1992,24(6):708-716.
作者姓名:彭建设  张敬宇
作者单位:四川师范学院物理系
摘    要:基于Gurtin变分原理本文提出了求解动力响应问题的半解析法.该方法在空间域内进行有限元离散,在时间域上取级数。实例表明,该方法是求解动力响应问题的一种非常有效的方法。本文引入了一种节点位移函数,使所导出的位移模式可以求解各种初始条件和载荷的一维动力响应问题。

关 键 词:半解析法  动力响应  变分原理

THE SEMI-ANALYTICAL METHOD BASED ON GURTIN VARIATIONAL PRINCIPLES TO SOLVE DYNAMIC RESPONSE OF ONE DIMENSION
Peng Jianshe.THE SEMI-ANALYTICAL METHOD BASED ON GURTIN VARIATIONAL PRINCIPLES TO SOLVE DYNAMIC RESPONSE OF ONE DIMENSION[J].chinese journal of theoretical and applied mechanics,1992,24(6):708-716.
Authors:Peng Jianshe
Abstract:The semi-analytical method derived by the authors based on Gurtin varia-tional principle to solve dynamic response 'akes finite element discretization in space domain and series in time domain. The numerical examples show that this method is effective for obtaining the solutions of dynamic response. The formulas of this paper can solve the dynamic response of one dimension with all kinds of initial conditions and all applied loads by introducing a kind of displacement function of nods.
Keywords:semi-analytical method  dynamic response  finite element  variational principle  convolution
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