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初始函数法在矩形厚板问题中的应用
引用本文:范业立 吴道凌. 初始函数法在矩形厚板问题中的应用[J]. 华南理工大学学报(自然科学版), 1989, 17(2): 63-74
作者姓名:范业立 吴道凌
作者单位:华南理工大学工程力学系,华南理工大学工程力学系
摘    要:本文采用初始函数法解各向同性板在均布载荷下的小变形问题,由于对应力和位移预先不作任何假设,故其结果精度较高。文中采用六阶控制方程对四边简支矩形板进行了分析,并与Reissner和经典理论所得结果进行了比较。

关 键 词:初始函数法 矩形厚板 弹性理论

USING INITIAL FUNCTION METHOD TO SOLVE THE PROBLEM OF THICK RECTANGULAR PLATES
Fan Yeli and Wu Daoling. USING INITIAL FUNCTION METHOD TO SOLVE THE PROBLEM OF THICK RECTANGULAR PLATES[J]. Journal of South China University of Technology(Natural Science Edition), 1989, 17(2): 63-74
Authors:Fan Yeli and Wu Daoling
Abstract:In this paper, the initial function method has been applied to analyse the elastic and slight deformation of rectangular isotropic plates uniformly loaded. Having no prior assumptions regard to the distribution of stresses and displacements, we can acquire more accurate solution by this method. Gererning equations of sixth-order have been used to analyse uniformly loaded and simply supported rectangular plates in this paper. The results have been compared with the conclusion from Reissner and classical theory.
Keywords:elastic theory  plate  initial  function  method  thick plates  thin Plates
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