Winkler地基上变厚度矩形板弯曲的微分求积解  

Differential Quadrature Solutions for Bending Problem of Rectangular Plates with Variable Thickness on Winkler Foundation

作　　者：杨柳[1] 彭建设[2] 谢刚[1] 罗光兵[3] 

机构地区：[1]西华师范大学物理与电子信息学院,四川南充637002 [2]成都大学工业制造学院,四川成都610106 [3]西南交通大学牵引动力国家重点实验室,四川成都610031

出　　处：《成都大学学报（自然科学版）》2011年第2期131-133,共3页Journal of Chengdu University（Natural Science Edition）

摘　　要：运用微分求积法研究了Winkler地基上变厚度矩形板的弯曲问题.给出了四边简支与四边固支Winkler地基上等厚度矩形板的解,同时给出了Winkler地基上变厚度矩形板的解.从算例的结果来看,微分求积法计算精度较高,其是求解各种偏微分方程及工程结构问题的一种较好的数值计算方法.In this paper,with the differential quadrature methods,the bending analysis of the rectangular plates with variable thickness on Winkler foundation was investigated.The solutions of the rectangular plates with variable thickness on Winkler foundation and with both four simply supported edges and four fixedly supported edges were given respectively.The solutions of the rectangular plates with variable thickness on Winkler foundation were also given.The results of examples show that the calculation precision of this method is very high.So,it is a good numerical calculation method to solve various partial differential equations and engineering structural problems.

关 键 词：弯曲 变厚度矩形板 WINKLER地基 微分求积法 

分 类 号：O302[理学—力学] TU435[建筑科学—岩土工程]