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Winkler地基上变厚度矩形板弯曲的微分求积解
引用本文:杨柳,彭建设,谢刚,罗光兵.Winkler地基上变厚度矩形板弯曲的微分求积解[J].成都大学学报(自然科学版),2011,30(2):131-133.
作者姓名:杨柳  彭建设  谢刚  罗光兵
作者单位: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
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.

关 键 词:弯曲  变厚度矩形板  Winkler地基  微分求积法

Differential Quadrature Solutions for Bending Problem of Rectangular Plates with Variable Thickness on Winkler Foundation
YANG Liu,PENG Jianshe,XIE Gang,LUO Guangbing.Differential Quadrature Solutions for Bending Problem of Rectangular Plates with Variable Thickness on Winkler Foundation[J].Journal of Chengdu University (Natural Science),2011,30(2):131-133.
Authors:YANG Liu  PENG Jianshe  XIE Gang  LUO Guangbing
Institution:YANG Liu1,PENG Jianshe2,XIE Gang1,LUO Guangbing3(1.School of Physics and Electronic Information,China West Normal University,Nanchong 637002,China,2.School of Industry Manufacturing,Chengdu University,Chengdu 610106,3.Traction Power State Key Laboratory,Southwest Jiaotong University,Chengdu 610031,China)
Abstract: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 ...
Keywords:bending  rectangular plate with variable thickness  Winkler foundation  differential quadrature method  
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