相邻边自由另两边任意支承矩形厚板的精确解  

The General Exact Solution of Bending Problem of a Rectangular Thick Plates with Two Adjacent Free Edges and Two arbitrary Edges

作　　者：曲庆璋 梁兴复 

出　　处：《青岛建筑工程学院学报》1995年第2期1-8,20,共9页Journal of Qingdao Institute of Architecture and Engineering

基　　金：冶金部<有偿与资助>项目

摘　　要：选取由三角级数和多项式组成的挠度函数ｗ（ｘ，ｙ）和应力函数Ψ（ｘ，ｙ），得到相邻边自由另两边任意支承矩形厚板的精确解、它不需要繁琐地叠加．文中给出矩形悬臂厚板的一个数值例题．In this poper, we select the fie-cural function w (x,y) and stress function Ψ(x,y), which consists of the trigonometrical series and polynomial expression. We get the exact solution of rectangular thick plates with two adjacent flee edges and two arbitrary edges. It does not need complicated superposition.A numerical example of a rectangular cantilever thick plate is included.

关 键 词：矩形厚板 三角级数 挠曲函数 应力函数 

分 类 号：TU313.1[建筑科学—结构工程]