两邻边固支另两邻边简支弹性矩形薄板问题的理论解  

Analytical Solutions of an Elastic Rectangular Thin Plate with Two Adjacent Boundaries Clamped-supported and the Others Simplified-supported

作　　者：钟阳[1] 孙爱民[1] 

机构地区：[1]大连理工大学土木工程学院,大连116024

出　　处：《武汉理工大学学报》2007年第6期62-64,103,共4页Journal of Wuhan University of Technology

摘　　要：利用辛几何的方法推导出了两邻边固支另两邻边简支弹性矩形薄板问题的理论解。在推导过程中并不需要事先人为地假定挠度函数,而是直接从弹性矩形薄板问题的控制方程出发,利用纯数学的手段推导出问题的解析解,使得求解过程更加合理化。最后通过算例验证了方法的正确性。The analytical solutions for an elastic rectangular thin plate with two adjacent boundaries clamped-supported and the others simplified- supported are derived by a symplectic geometry method. Due to the fact that the basic elasticity equations of the thin plate are only used, it is not necessary to select the deformation function arbitrarily. Therefore, the solutions in the paper are much more general mathematically. In order to prove the validity of the formulations, numerical results are presented to compare with those derived by other references.

关 键 词：弹性矩形薄板 辛几何法 理论解 

分 类 号：TU311[建筑科学—结构工程]