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四边铰支矩形板的非线性弯曲
引用本文:郭毅.四边铰支矩形板的非线性弯曲[J].四川理工学院学报(自然科学版),1995(4).
作者姓名:郭毅
作者单位:四川轻化工学院图书馆
摘    要:本文在引入中面体积应变e重新导出的非von.Karman形式的薄板大挠度问题的控制方程的基础上,通过摄动法及有限积分变换,完整地求解了四边铰支矩形板的非线性弯曲问题,通过与文[11]的比较验证了该法及其解的正确性

关 键 词:四边铰支  矩形板  非线性弯曲  摄动

NONLINEAR BENDING OF THIN RECTANGULAR PLATES WITH HINGEO BOUNDARY SUPPORTS
Guo Yi.NONLINEAR BENDING OF THIN RECTANGULAR PLATES WITH HINGEO BOUNDARY SUPPORTS[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,1995(4).
Authors:Guo Yi
Abstract:An analytical method for solving the problem of nonlinear bending of thin rectangular plates is proposed in the paper.A couple of new govering equations are obtained in terms of displacements. By making use of pertubation method the g vering differential equations are turned into a series of uncoupled linear partial d erential equations.For an example,the numerical result of thin square plate with l nged boundary supports subjected to uniformly distributed transvers load is worked out. The result shows similar to article 11].
Keywords:four hinged boundary  rectangular plate  nonlinear bending  pertul ation
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