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首页> 外文期刊>International Journal of Mechanical Sciences >Analytical solution of a two variable refined plate theory for bending analysis of orthotropic Levy-type plates
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Analytical solution of a two variable refined plate theory for bending analysis of orthotropic Levy-type plates

机译：正交各向异性利维型板弯曲分析的两个变量精化板理论的解析解

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摘要

This paper presents analytical solutions of deflection and stress for orthotropic plates using a two variable refined plate theory. The theory accounts for parabolic variation of transverse shear stress through the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factor. Additional features of the theory are that it has strong similarity with classical plate theory in many aspects, and the number of involved variables is only two as against three in case of other shear deformation theories. The Levy-type solution procedure in conjunction with the state space concept is used to determine the closed-form solutions for orthotropic rectangular plates with two opposite edges simply supported and the other two edges having arbitrary boundary conditions. Comparison studies are performed to verify the validity of the present results. Finally, the effects of thickness ratio, modulus ratio and aspect ratio on the deflection and stress of orthotropic plates are investigated and discussed.
机译：本文利用两变量精化板理论提供正交各向异性板的挠度和应力解析解。该理论考虑了横向剪切应力在整个厚度上的抛物线变化，并且在不使用剪切校正因子的情况下满足了板顶面和底面的零牵引边界条件。该理论的其他特点是，它在许多方面与经典板理论有很强的相似性，并且所涉及的变量数仅为两个，而其他剪切变形理论则为三个。结合状态空间概念的Levy型求解程序用于确定正交各向异性矩形板的闭合形式的求解，其中正交矩形板的两个相对边缘被简单支撑，另外两个边缘具有任意边界条件。进行比较研究以验证当前结果的有效性。最后，研究并讨论了厚度比，模量比和长宽比对正交各向异性板挠曲和应力的影响。

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