圆薄板非对称大变形弯曲问题
Nonsymmetrical Large Deformation Bending Problem of Circular Thin Plates
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摘要: 本文首先导出圆薄板非轴对称大变形问题的位移基本方程及边界条件.利用变换和摄动法将非线性位移方程线性化,得到了近似边值问题.作为算例,文中研究了圆薄板在较复杂载荷作用下的非线性弯曲问题.Abstract: To begin with,in this paper,the displacement governing equations and the boundary conditions of nonsymmetrical large deflection problem of circular thin plates are derived.By using the transformation and the perturbation method,the nonlinear displacement equations are linearized,and the approximate boundary value problems are obtained.As an example,the nonlinear bending problem of circular thin plates subjected to comparatively complex loads is studied.
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Key words:
- plate /
- displacement /
- nonlinear /
- transformation /
- perturbation method
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[1] Fife,P.,Nonlinear deflection of the thin elastic plates under tension,Comm.Pure and Appl.Math.,14,1(1961),81-112. [2] Срубдик Л.С.Об асимптотическом интегровании системнелинейных уравнений теории пластин.Прцклабная Mamemamuka u Mexahuka,28(2)(1964),335-349. [3] Jiang Fu-ru,Unsymmetrical bending of annular and circular thin plates under various supports(Ⅰ),Applied Mathmatics and Mechanics(English Ed.),3,5(1982),683-695. [4] 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(1),应用数学和力学.3(5)(1982),629-640. [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(Ⅰ),应用数学和力学,5(2)(1984),191-203. [6] 江福汝,环形和圆形薄板屈曲后性态的非线性分析,应用数学和力学,8(9)(1987),755-770. [7] 王新志、王林祥、徐鉴,圆薄板非轴对称大变形问题,科学通报,33(16)(1988),1276-1277. -
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