Static and transient analysis of laminated cylindrical shell panels with various boundary conditions and general lay‐ups

Static and transient analysis of laminated cylindrical shell panels with various boundary conditions and general lay‐ups
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DOI:
10.1002/zamm.201000236
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发表时间:
2012-02
期刊:
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
影响因子:
--
通讯作者:
S. Maleki;M. Tahani-;A. Andakhshideh
S. Maleki;M. Tahani-;A. Andakhshideh
中科院分区:
其他
文献类型:
--
作者:
S. Maleki;M. Tahani-;A. Andakhshideh

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本文采用广义微分求积法(GDQ)对中厚层合圆柱壳板在各种载荷和边界条件下进行了静力和瞬态分析。分别采用GDQ法和Newmark积分法对壳体壁板的瞬态偏微分方程组进行空间和时间离散。不同的对称和不对称的层合序列以及各种组合的夹紧,简支和自由的边界条件被认为是。假设剪切变形和初始曲率的影响,选择包含15个一阶偏微分方程(PDE)的控制偏微分方程(PDE)进行分析,其中包含未知位移、旋转、力矩、力和时间。解域,控制方程和相关的边界条件,然后离散的基础上GDQ技术。结果表明,该方法提供了相当准确的结果与相对较少的网格点。结果表明,该方法提供了类似的顺序的精度为所有变量,包括位移和应力合成。与其他的分析,数值和有限元分析结果的预测比较显示出很好的一致性。本文还对各种边界条件,特别是混合边界条件下的板壳进行了计算,以供参考。
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.