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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Static and transient analysis of laminated cylindrical shell panels with various boundary conditions and general lay-ups
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Static and transient analysis of laminated cylindrical shell panels with various boundary conditions and general lay-ups

机译：具有各种边界条件和一般布置的叠层圆柱壳面板的静态和瞬态分析

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摘要

Static and transient analysis of moderately thick laminated cylindrical shell panels with various loadings and boundary conditions are presented using generalized differential quadrature (GDQ) method. The governing system of transient partial differential equations of the shell panel is discretized in space and time domains using GDQ technique and Newmark's integration scheme, respectively. Different symmetric and asymmetric lamination sequences together with various combinations of clamped, simply supported and free boundary conditions are considered. Assuming effects of shear deformation and initial curvature, the governing partial differential equations (PDEs) including a system of fifteen first-order PDEs in terms of unknown displacements, rotations, moments, forces, and time are selected for the analysis. Solution domain, governing equations, and related boundary conditions are then discretized based on the GDQ technique. It is shown that the method provides reasonably accurate results with relatively small number of grid points. It is revealed that the method offers similar order of accuracy for all variables including displacements and stress resultants. Comparisons of the predictions with results of other analytical, numerical, and finite element analyses show very good agreement. More results for shell panels with various boundary conditions specially mixed boundary conditions are presented for future references.
机译：利用广义差分正交积分法（GDQ），对具有不同载荷和边界条件的中厚叠层圆柱壳面板进行了静态和瞬态分析。分别利用GDQ技术和Newmark积分方案在时域和离散时域离散化了壳板瞬态偏微分方程的控制系统。考虑了不同的对称和不对称层压顺序以及夹紧，简单支撑和自由边界条件的各种组合。假定剪切变形和初始曲率的影响，选择包括15个一阶PDE系统的主导偏微分方程（PDE）进行未知位移，旋转，力矩，力和时间方面的分析。然后根据GDQ技术离散化求解域，控制方程和相关边界条件。结果表明，该方法在网格点数量较少的情况下提供了相当准确的结果。结果表明，该方法为所有变量（包括位移和应力结果）提供了相似的精度等级。将预测与其他分析，数值和有限元分析的结果进行比较显示出很好的一致性。对于具有各种边界条件（特别是混合边界条件）的壳体面板，将提供更多结果，以供将来参考。

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