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求解集中载荷作用下悬臂板的挠曲方程
引用本文:张丹.求解集中载荷作用下悬臂板的挠曲方程[J].数学理论与应用,2011(4):65-71.
作者姓名:张丹
作者单位:湖南科技学院数学与计算科学系;
基金项目:湖南科技学院2009年重点科研课题资助
摘    要:应用功的互等定理,求解了悬臂厚矩形板在集中载荷作用下的挠曲面方程;同时也通过编程计算给出了具有实际价值的计算结果,进一步证明了应用功的互等法求解厚矩形板的正确性和优越性.

关 键 词:功的互等定理法  基本解  挠曲方程  Reissner理论  集中载荷

Solving the Deflection Equations of Cantilever Plate Under Concentrated Load
Zhang Dan.Solving the Deflection Equations of Cantilever Plate Under Concentrated Load[J].Mathematical Theory and Applications,2011(4):65-71.
Authors:Zhang Dan
Institution:Zhang Dan(Hunan University of Science and Engineering,Yongzhou Hunan 425100)
Abstract:According to reciprocal-theorem method(RTM),the problems of bending of Cantilever plate under concentrated load is calculated in this paper.Simultaneously through the programming computation the exact solution of actual value is give,which produced the accuracy and the superiority of applying reciprocal-theorem method(RTM) to solve the bending of thick rectangular plates.
Keywords:Reciproral theorem method Basic solution Deflection equations Reissner's theory Concentrated load  
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