弹性半空间地基上四边自由矩形板的弯曲解析解  

Analytic solution of rectangular plates loaded with vertical force on an elastic half space

作　　者：王春玲[1] 黄义[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《岩土工程学报》2005年第12期1402-1407,共6页Chinese Journal of Geotechnical Engineering

基　　金：陕西省教育厅专项基金资助项目(04JK218)

摘　　要：采用双重Fourier变换,分析得到弹性半空间受任意竖向荷载作用下的静力积分变换解,与四边自由矩形板的弯曲解析解相结合,得出弹性半空间地基上四边自由矩形板受任意竖向荷载作用的弯曲解析解。给出一些算例结果,与有限元方法给出的计算结果进行了比较,结果吻合良好,证明本文的方法是切实可行的。The method of double Fourier transform was introduced for the analysis of an elastic half space loaded with vertical force, and an integral representation for displacements of an elastic half space was presented. The analytic solution of an elastic rectangular plate on an elastic half space was also given by combining the analytic solution of an elastic rectangular plate with four free edges. Some examples were analyzed and the results were compared with those from the literature which used other methods such as finite element method. The agreement was found to be satisfactory which proved the validity of the new method in solving the problem of a rectangular plate on an elastic half space with four free edges. This new method would be feasible in practical applications.

关 键 词：弹性半空间 四边自由矩形板 共同作用 解析解 

分 类 号：TU31[建筑科学—结构工程]