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Non-linear bending analysis of laminated sector plates using Generalized Differential Quadrature

机译：叠层扇形板非线性弯曲的广义微分正交分析

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摘要

Non-linear static analysis of laminated sector plates with any combination of clamped, simply supported and free edges is presented using Generalized Differential Quadrature (GDQ) method. Particular interest of this study is large deformation of asymmetric sector plates with free edges. Based on the first-order shear deformation theory and von Karman type non-linearity, the governing system of equations include a system of 13 partial differential equations (PDEs) in terms of unknown displacements, forces and moments. Successive application of the GDQ technique to the governing equations resulted in a system of non-linear algebraic equations. The Newton-Raphson iterative scheme is then employed to solve the system of non-linear equations. Illustrative examples are presented to demonstrate accuracy and rapid convergences of the method with small number of grid points. Predictions of the presented method show very good agreement with other numerical studies available in the literature. Further results for asymmetric laminated sector plates with free edges are also presented for future references.
机译：使用广义差分正交（GDQ）方法，对夹层，简单支撑和自由边缘的任意组合的层压扇形板进行了非线性静力分析。这项研究特别感兴趣的是具有自由边缘的不对称扇形板的大变形。基于一阶剪切变形理论和von Karman型非线性，方程的控制系统包括一个由13个偏微分方程（PDE）组成的系统，涉及未知位移，力和力矩。 GDQ技术在控制方程中的连续应用导致了一个非线性代数方程组。然后，采用牛顿-拉夫森迭代方案来求解非线性方程组。给出了说明性示例，以证明该方法的精度和快速收敛性以及少量的网格点。所提出方法的预测结果与文献中的其他数值研究非常吻合。还提出了具有自由边缘的不对称层压扇形板的进一步结果，以供将来参考。

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  • 来源
    《Composite Structures》 |2010年第9期|2258-2264|共7页
  • 作者

    A. Andakhshideh; S. Maleki; M.M. Aghdam;

  • 作者单位

    Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashad, Mashad, Iran;

    rnDepartment of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashad, Mashad, Iran;

    Department of Mechanical Engineering, Amirkabir University of Technology, Hafez Ave., Tehran 15914, Iran;

  • 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

    sector plate; asymmetric lay up; non-linear analysis; generalized differential quadrature;

    机译：扇形板不对称的叠层非线性分析;广义微分正交;

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