横观各向同性弹性半空间地基上正交异性矩形中厚板弯曲解析解  

Bending of the orthotropic rectangular middle thick plate on the transversely isotropic elastic half space ground

作　　者：王春玲[1,2] 周亮 李华[1] 

机构地区：[1]西安建筑科技大学理学院,西安710055 [2]陕西循环经济工程技术院,西安710055

出　　处：《计算力学学报》2012年第3期412-416,共5页Chinese Journal of Computational Mechanics

基　　金：陕西省自然科学基金(2010JM7015)资助项目

摘　　要：对横观各向同性体通解进行双重傅里叶变换,获得了直角坐标系下横观各向同性弹性半空间地基受任意竖向荷载作用下的位移积分变换解;在此基础上建立了板与地基的变形协调方程,并与三个广义位移变量描述的弹性地基上四边自由正交各向异性矩形中厚板的弯曲控制方程相结合,用三角级数法,得出横观各向同性弹性半空间地基上四边自由正交异性矩形中厚板受任意竖向荷载作用的弯曲解析解。相关算例分析表明,本文方法是有效的。The integral solution is obtained to the problem of transversely isotropic elastic half space ground under arbitrary vertical load by using a double Fourier transform in Cartesian coordinates. On the basis of the integral solution, the equation of deformation compliance of the plate and the ground is es- tablished,and combining with the control equation of the orthotropic rectangular middle thick plate with four free edges on the ground, by the trigonometric series, an analytical solution obtained for to the prob- lem of the bending of the orthotropic rectangular middle thick plate with four free edges on the trans- versely isotropic elastic half space ground. I. e. ,the analytical representations of the reactive force of the ground, the deflection and the inner force of the plate are obtained. At last some computational examples are presented and the results are coincided with those in literatures. The method in this paper will be im- portant in practical applications.

关 键 词：横观各向同性 弹性半空间地基 正交异性矩形中厚板 相互作用 弯曲 解析解 

分 类 号：TU311[建筑科学—结构工程] O342[理学—固体力学]