正交各向异性矩形薄板的非线性弯曲

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Nonlinear Bendings for the Orthotropic Rectangular Thin Plates under Various Supports

Department of Mathematics and Mechanics, South China Institute of Technology, Guangzhou

摘要: 本文应用[1]中提出的摄动方法研究了在各种支承条件下的正交各向异性矩形薄板的非线性弯曲问题.导出了挠度ω和应力函数φ的一致有效的N阶形式渐近解.

Abstract: In this paper, the nonlinear bandings for the orthotropic rectangular thin plates under various supports are studied.The uniformly valid asymptotic solutions of the displacement ω and stress function Φ are derived by the perturbation offered in [1].

[1]	(1) 江福汝.关于椭圆型方程的奇摄动.复旦学报.(自然科学版).2(1978).29-37..
[2]	(2) Chien,W.Z(钱伟长).,Asymptotic behavior of a thin clamped circular plate under uniform normal pressure at very large deflection,Sci.Rep.Nat.Tsing Hua Univ.Ser.A,5(1948),71-94.
[3]	(3) 叶开沅.边缘载荷下环形薄板大挠度问题.物理学报.9.2(1953),110-129,
[4]	(4) 胡海昌、在均布及中心集中载荷下圆板的大挠度问题,物理学报.10,4(1954),383-392.
[5]	(5) 江福汝.环形和圆形薄板在各种支承条件下的非对称非线性弯曲问题,应用数学和力学,3.(1982).629-640
[6]	(6) Timoshenko,S.and S.Woinowsky-Krieger,Theorg of Plates and Shells,McGraw-Hill Book Compang,Inc,(1959).
[7]	(7) Jones,.R.M.Mechanics of Composite Materials,Scripta,Book Co.,Washington,D.C.,McGraw-Hill Book Company,New York,(1975).

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