Dynamic stability analysis of composite laminated cylindrical shells via the mesh-free kp-Ritz method
Dynamic stability analysis of composite laminated cylindrical shells via the mesh-free kp-Ritz method
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DOI：
10.1016/j.cma.2006.02.007
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发表时间：
2006-12
影响因子：
7.2
通讯作者：
K. Liew;Yan-Gao Hu;X. Zhao;T. Ng
中科院分区：
文献类型：
--
作者：
K. Liew;Yan-Gao Hu;X. Zhao;T. Ng
本文提出了复合材料层合圆柱壳在静力和周期轴力作用下的动力稳定性分析的一种新的数值方法。无网格核粒子(KP)估计采用与调和函数混合的形式来逼近二维横向位移场。将Ritz极小化方法应用于能量表达式，得到了一个Mathieu-Hill方程组。然后利用Bolotin一次近似分析了主要不稳定性区域。无网格KP-Ritz方法通过与现有公开文献中已有的数值数据的比较，得到了验证。文中还详细分析了边界条件和层合方案对失稳区域的影响。
In this paper, a novel numerical technique is developed for the dynamic stability analysis of composite laminated cylindrical shells under static and periodic axial forces. The mesh-free kernel particle (kp) estimate is employed in hybridized form with harmonic functions, to approximate the 2-D transverse displacement field. A system of Mathieu–Hill equations is obtained through the application of the Ritz minimization procedure to the energy expressions. The principal instability regions are then analyzed via Bolotin’s first approximation. The mesh-free kp-Ritz method is validated through comparison with existing available numerical data taken from open literature. Effects of boundary conditions and lamination schemes on the instability regions are also examined in detail.