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求解厚矩形板弯曲问题的功的互等定理法
引用本文:付宝连,谭文锋.求解厚矩形板弯曲问题的功的互等定理法[J].应用数学和力学,1995,16(4):367-379.
作者姓名:付宝连  谭文锋
作者单位:燕山大学
摘    要:在本文中,功的互等定理法(RTM)被推广于求解基于Peissner理论的厚矩形板弯曲问题。首先,本文给出了厚矩形板弯曲的基本解;其次,给出了三边固定一边自由在均布载荷作用下厚矩形板弯曲的精确解析解;最后,我们分析了本文解的数值结果。

关 键 词:  互等定理法  厚矩形板  弯曲  

Reciprocal Theorem Method for Solving the Problems of Bending of Thick Rectangular Plates
Fu Bao-lian Tan Wen-feng.Reciprocal Theorem Method for Solving the Problems of Bending of Thick Rectangular Plates[J].Applied Mathematics and Mechanics,1995,16(4):367-379.
Authors:Fu Bao-lian Tan Wen-feng
Abstract:In this paper, reciprocal-theorem method(RTM)is generalized to solve the problems of bending of thick reciprocal plates based on Reissner's theory. First,the paper gives the basic solution of the bending of thick rectangular plates:and then the exact analytical solution of the bending of thick rectangular plate with three clamped edges and one free edge under uniformly distributed load is found by RTM;finally,we analyze numerical results of the solution.
Keywords:reciprocal theorem method  basic solution  bending of thick rectangular plate  Reissner's theory  
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