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Geometrically nonlinear transient analysis of moderately thick laminated composite shallow shells with generalized differential quadrature method

机译：中等厚度叠合扁壳的几何非线性瞬态分析的广义微分求积法

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摘要

In this article, geometrically nonlinear transient analysis of moderately thick laminated composite shallow shells is performed using generalized differential quadrature method. First-order shear deformation theory of doubly curved shells is used to consider transverse shear effect and Von-Karman nonlinear strain-displacement relationships are used to consider geometric nonlinearity due to large displacements. Virtual work principle is used to derive the equation of motion. Partial derivatives in the equation of motion is expressed with generalized differential quadrature method and time integration is carried out using Newmark average acceleration method. Several laminated composite plate, cylindrical and spherical panel problems from the literature are solved with the proposed method. Transient responses are compared with those obtained with other methods in the literature. (C) 2015 Elsevier Ltd. All rights reserved.
机译：在本文中，使用广义差分正交方法对中等厚度的叠层复合浅壳进行了几何非线性瞬态分析。使用双曲壳的一阶剪切变形理论来考虑横向剪切效应，并使用Von-Karman非线性应变-位移关系来考虑大位移引起的几何非线性。虚拟工作原理用于导出运动方程。运动方程中的偏导数用广义微分求积法表示，时间积分用Newmark平均加速度法进行。所提出的方法解决了文献中的几种层压复合板，圆柱和球形面板问题。将瞬态响应与文献中其他方法获得的响应进行比较。 （C）2015 Elsevier Ltd.保留所有权利。

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