均布荷载作用下求解厚矩形板弯曲的功的互等定理法——两邻边简支另两邻边自由且角点支承  

BOUNDARY INTEGRAL METHOD FOR PROBLEM OF BENDING OF THICK RECTANGULAR PLATES UNDER UNIFORM LOAD:WITH TWO BORDER EDGES SIMPLY SUPPORTED,TWO BORDER EDGES FREE AND THE CORNER SUPPORTED

作　　者：赵军[1] 李爱梅 

机构地区：[1]中冶华天工程技术有限公司,安徽马鞍山243005 [2]河北建投宏越房地产开发有限公司,河北秦皇岛066004

出　　处：《工业建筑》2009年第S1期659-663,共5页Industrial Construction

摘　　要：将功的互等定理法推广来求解基于Reissner理论的厚矩形板弯曲问题。首先,给出了厚矩形板弯曲的基本解;其次,给出了两邻边简支另两邻边自由且角点支承在均布荷载作用下厚矩形板弯曲的精确解析解;最后,分析了所分析的数值结果。The reciprocal theorem method(RTM) is generalized to solve the problems of bending of thick rectangular plates based on Reissner's theory.First,it is given the basic solution of the bending of thick rectangular plates,and then the exact analytical solution of the bending of thick rectangular plate with two border edges simply supported,two border edges free and the corner supported under uniformly distributed load is found by RTM;finally,it is analyzed the numerical results of the solution.

关 键 词：功的互等定理法 基本解 厚矩形板的弯曲 Reissner理论 

分 类 号：TU312.1[建筑科学—结构工程]