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应用大挠度薄板功的互等定理求解一对边简支一对边自由矩形板的挠曲方程
引用本文:夏茂辉,刘才.应用大挠度薄板功的互等定理求解一对边简支一对边自由矩形板的挠曲方程[J].黑龙江大学自然科学学报,2006,23(3):359-362.
作者姓名:夏茂辉  刘才
作者单位:燕山大学,理学院,河北,秦皇岛,066004
摘    要:主要应用大挠度弯曲薄板的第二类功的互等定理,求解在均布载荷作用下一对边简支一对边自由矩形板的挠曲面方程,计算结果表明,大挠度弯曲薄板功的互等定理在解决非线性问题方面简单有效,为求解相关大挠度问题开辟了一个新的途径。

关 键 词:有限变形  大挠度弯曲薄板  功的互等定理  基本系统
文章编号:1001-7011(2006)03-0359-04
修稿时间:2006年1月18日

The application of Reciprocal Theorem with large deflections in the calculation of a rectangular plate with one subtense edges simply supported and the other subtense edges free
XIA Mao-hui,LIU Cai.The application of Reciprocal Theorem with large deflections in the calculation of a rectangular plate with one subtense edges simply supported and the other subtense edges free[J].Journal of Natural Science of Heilongjiang University,2006,23(3):359-362.
Authors:XIA Mao-hui  LIU Cai
Abstract:The solutions of thin bending rectangular plate with one subtense edges simply supported and the other subtense edges free,large deflection under uniform pressure are obtained by the Reciprocal Theorem Method in this paper.From the results it can be found that the method is valid in non-linear questions and develops a new access.
Keywords:finite displacement  bending of thin plates with large deflections  reciprocal theorem  the basic system
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