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首页> 外文期刊>Composite Structures >Hybrid layerwise-differential quadrature transient dynamic analysis of functionally graded axisymmetric cylindrical shells subjected to dynamic pressure
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Hybrid layerwise-differential quadrature transient dynamic analysis of functionally graded axisymmetric cylindrical shells subjected to dynamic pressure

机译：功能梯度轴对称圆柱壳在动态压力作用下的混合层差分-正交正交瞬态动力分析

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摘要

In this paper, two computationally efficient and accurate solution methods for transient dynamic analysis of functionally graded (FG) cylindrical shells subjected to internal dynamic pressure are presented. In order to accurately account for the thickness effects, the layerwise theory is employed to approximate the displacement components in the radial direction. In the first solution method, differential quadrature method (DQM) is implemented to discretize the resulting equations in the both spatial and time domains. In the second approach, DQM is applied to discretize equations in the axial direction while Newmark's time integration scheme is used to solve the problem in the time domain. The fast convergence rate of the methods is demonstrated and their accuracy is verified by comparing the results with those obtained using ANSYS and also with available exact solution of a particular problem. Considerable less computational efforts of the proposed approaches with respect to the finite element method is observed. Furthermore, comparative studies are performed between two approaches in different cases and it is found that the two techniques give very close results. The effects of geometrical parameters and boundary conditions on the transient behavior of shells are also investigated.
机译：本文提出了两种计算有效且精确的求解方法，用于承受内部动压力的功能梯度（FG）圆柱壳的瞬态动力学分析。为了精确地考虑厚度影响，采用分层理论来近似估计径向方向上的位移分量。在第一种解决方案方法中，实现了差分正交方法（DQM）以在时域和时域离散化所得方程。在第二种方法中，使用DQM在轴向上离散化方程，而使用Newmark的时间积分方案来解决时域问题。通过将结果与使用ANSYS获得的结果以及特定问题的可用精确解决方案进行比较，证明了这些方法的快速收敛速度，并验证了其准确性。观察到相对于有限元方法，所提出的方法的计算量要少得多。此外，在不同情况下两种方法之间进行了比较研究，发现这两种技术给出了非常接近的结果。还研究了几何参数和边界条件对壳体瞬态行为的影响。

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