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Levy-type solution for buckling analysis of orthotropic plates based on two variable refined plate theory

机译：基于两变量精化板理论的正交异性板屈曲分析的Levy型解

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摘要

This paper presents closed-form solution for buckling analysis of orthotropic plates using two variable refined plate theory. The theory accounts for a quadratic variation of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Governing equations are derived from the principle of minimum total potential energy. The closed-form solutions of rectangular plates with two opposite edges simply supported and the other two edges having arbitrary boundary conditions are obtained by applying the state space approach to the Levy-type solution. Comparison studies are performed to verify the validity of the present results. The effects of boundary condition, loading condition, and variations of modulus ratio, aspect ratio, and thickness ratio on the critical buckling load of orthotropic plates are investigated and discussed in detail.
机译：本文利用两个变量精化板理论提出了正交各向异性板屈曲分析的封闭形式解。该理论说明了整个厚度方向上横向剪切应变的二次变化，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。控制方程式是从最小总势能原理得出的。通过将状态空间方法应用于Levy型解，可以得到矩形板的闭合形式的解，该解具有两个相对边的简单支撑，另外两个边具有任意边界条件。进行比较研究以验证当前结果的有效性。研究并讨论了边界条件，加载条件以及模量比，纵横比和厚度比的变化对正交各向异性板的临界屈曲载荷的影响。

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  • 来源
    《Composite Structures》 |2011年第7期|p.1738-1746|共9页
  • 作者

    Huu-Tai Thai; Seung-Eock Kim;

  • 作者单位

    Department of Civil and Environmental Engineering, Sejong University, 98 Gunja Dong Cwangjin Cu, Seoul 143-747, Republic of Korea;

    Department of Civil and Environmental Engineering, Sejong University, 98 Gunja Dong Cwangjin Cu, Seoul 143-747, Republic of Korea;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    levy-type solution; refined plate theory; buckling analysis; orthotropic plate;

    机译：征型解;细化板理论;屈曲分析;正交异性板;

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