四边固定正交各向异性矩形板的非线性弯曲问题

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The Proplems of Nonliear Bending for Orthotropic Rectangular Plate with Four Clamped Edges

摘要: 本文利用“两变量法”^[1]和“混和摄动法”^[2]研究了正交各向异性矩形板在非均布横向载荷作用下的非线性弯曲问题,在四边固定条件下,得到了一致有效渐近解.
- 正交各向异性矩形板 /
- 非线性弯曲 /
- 两变量法 /
- 混合摄动法 /
- 一致有效渐近解
Abstract: In this paper,under the non-uniformtransverse load,the problems of nonlinear bending for orthotropic rectangular plate are studied by using"the method of twovariable"^[1] and "the method of mixing perturbation"^[2].The uniformly valid asymptotic solutions of Nth-order for ε₁ and Mth-order for ε₂ for ortholropic rectangular plale with four clamped edges are oblained.
- orthotropic rectangular plate /
- nonlinear bending /
- method of twovariable /
- method of mixing perturbation /
- uniformly valid asymptotic solutions

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