分析薄壳塑性动力响应问题的一种数值方法

探索薄壳塑性动力响应问题的分析与数值方法,是当今力学中的重要课题之一。笔者曾给出联合应用拉普拉斯变换和最小二乘法分析梁、板、壳塑性动力响应的方法。本文分别针对承受中载的短壳和长壳问题,给出只用最小二乘法分析其塑性动力响应的方法。

A NUMERICAL METHOD OF ANALYSING PLASTIC DYNAMIC RESPONSE OF THIN SHELLS

Studies of the analytic and numerical methods of plastic dynamic response of thin shells are the important problems in mechanics nowadays. The author had given a method ofcombined the Laplace transform and the least square method to solve the problems of beams, plates and shells years before. In this paper. only by the least square method. the problems of the plastic dynamic response of short and long shells under uniform distributed and middle loaded impacts are solved as examples.