Vibrations of composite structures: Finite element and analytical investigation

Ashkan Farazin, Chunwei Zhang, A. Abed
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引用次数: 4

Abstract

In this examination, the free vibrations of complete composite shells with rectangular openings based on first-order shear deformation theory have been studied. The equations are generally written in such a way that they can be converted to any of Donnell, Love, or Sanders theories. To study the shell with the opening of the problem-solving space, it is elementalized in such a way that the boundary conditions and loading are uniform at the edges of each element. For each element, the governing equations, the boundary conditions of the edges, and the compatibility conditions at the common boundary of the adjacent elements are discretized by the generalized differential quadrature method in the longitudinal and peripheral directions, and by assembling them, a system of algebraic equations is formed. Finally, the natural frequency of the structure is calculated using the solution of the eigenvalue. To validate this method, the results are compared with the results of some articles as well as the results of Abaqus finite element software. After ensuring the efficiency of the present method, it has been used to study the effect of different parameters on the vibrational behavior of shells with and without apertures. These studies show that relatively small openings (c/L <0.3) have little effect on the natural frequency of the shell, regardless of the material and the porcelain layer of the shell. While reducing the ratio of length to radius or increasing the thickness of the shell is also effective in reducing the effects of opening. In addition, the effect of peripheral openings is far less than longitudinal openings.
复合材料结构的振动:有限元和分析研究
本文基于一阶剪切变形理论,研究了带矩形开口的完整复合材料壳的自由振动问题。这些方程通常以这样一种方式写成,即它们可以转换为Donnell、Love或Sanders理论中的任何一种。为了研究具有问题解决空间开放的壳,将其元素化,使每个元素边缘的边界条件和载荷均匀。对每个单元,采用广义微分正交法在纵向和圆周上离散化控制方程、边的边界条件和相邻单元公共边界处的相容条件,并将它们组合成一个代数方程组。最后,利用特征值的解计算结构的固有频率。为了验证该方法的有效性,将计算结果与一些文献的计算结果以及Abaqus有限元软件的计算结果进行了比较。在保证该方法的有效性的基础上,研究了不同参数对带孔和不带孔壳振动特性的影响。这些研究表明,相对较小的开口(c/L <0.3)对壳体的固有频率影响不大,无论壳体的材料和瓷层如何。同时减小长度与半径的比值或增加壳体的厚度也能有效地减小开孔的影响。此外,周边开口的影响远小于纵向开口。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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