【摘要】 本文从一修正的变分原理出发,以胡海昌导出的关于Reissner板弯曲方程的两个位移函数为中间变量,推导出弹性地基板的一个完备解系及其相应的杂交-Trefftz有限元公式.文末给出的算例验证了本数值模型的可靠性和有效性.更多还原

【Abstract】 A modified variational functional for analysis of moderately thick plates on an elastic foundation by Trefftz method is presented in this paper. A hybrid Trefftz finite element model is, then, developed based on this functional. By means of the two Hu’s functions and the resolution method of differential operator, two sets of new T-complete solutions for the governing equations are obtained. The numerical example of a circular plate on a Pasternak-type foundation is given at the end of the paper, it verifies that the suggested model is reliable and efficient.更多还原