不对称的各向异性叠层矩形板的非线性弯曲(Ⅰ)

Nonlinear Bendings of Unsymmetrically Layered Anisotropic Rectangular Plates

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

摘要: 本文研究了不对称的各向异性叠层矩形板在多种支承条件下的非线性弯曲,利用文[1]中提出的奇异摄动方法,导出了板在横向载荷和边缘拉力的联合作用下,其挠度和应力函数的一致有效的N阶渐近解。因此,本文的研究对于这样一个复杂的问题提供了一个简单而又有效的方法。

Abstract: An analysis for the nonlinear bendings of unsymmetrically layered anisotropic rectangular plates subjected to combined edge tensions and lateral loading under venous supports is presented. The uniformly valid N-order asymptotic solutions of the transverse deflection and stress function are derived by the singular perturbation method offered in [1]. The present investigation may provide a simple and convenient method for such a complex problem.

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