Free vibration analysis of variable stiffness composite laminated beams and plates by novel hierarchical differential quadrature finite elements
Free vibration analysis of variable stiffness composite laminated beams and plates by novel hierarchical differential quadrature finite elements
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采用新型分层微分求积有限元对变刚度复合材料层合梁和板进行自由振动分析
DOI：
10.1016/j.compstruct.2021.114364
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发表时间：
2021-10
影响因子：
6.3
通讯作者：
Pagani Alfonso
中科院分区：
文献类型：
--
作者：
Yan Yang;Liu Bo;Xing Yufeng;Carrera Erasmo;Pagani Alfonso
本文采用新的准三维解研究了纤维取向角随空间变化的变刚度复合材料层合板的自由振动特性。卡雷拉统一公式（CUF）是用来构建这种新的模型，其中横截面运动学描述与改进的层次勒让德展开（IHLE）的主要力学变量。所提出的扩展不仅保持了HLE模型的层次特性，而且对扩展项的编号顺序变得不那么敏感。由于这些增强的运动学，等效单层（ESL）和逐层（LW）模型可以制定更强大。采用弱形式微分求积有限元法（DQFEM）求解由虚位移原理导出的控制方程。基于基于CUF的DQFEM，即使是单个梁单元也足以以高精度处理许多复杂问题。在几个数值算例中，研究了具有不同纤维路径、边界条件、层压方案和厚宽比的紧凑型VSCL梁和板。通过与已发表数据的比较，验证了该方法的准确性和有效性。
The present work deals with the free vibration behavior of the variable stiffness composite laminates (VSCLs) featured by spatially varying fibre orientation angles via novel quasi-three-dimensional solutions. The Carrera Unified Formulation (CUF) is employed to construct such novel models, where cross-section kinematics are described with the improved hierarchical Legendre expansion (IHLE) of primary mechanical variables. The proposed expansions not only maintain the hierarchical properties of the HLE model but also become less sensitive to the numbering sequence of expansion terms. As a result of these enhanced kinematics, Equivalent Single Layer (ESL) and Layer-Wise (LW) models can be formulated more robustly. The weak form differential quadrature finite element method (DQFEM) is employed to solve the governing equations derived by the principle of virtual displacements. Based on CUF-based DQFEM, even a single beam element is sufficient to tackle many complex issues with high accuracy. Compact VSCL beams and plates with various fibre paths, boundary conditions, lamination schemes, and thickness-to-width ratios have been studied in several numerical examples. The proposed method’s accuracy and effectiveness are validated by comparing results to published data.
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影响因子：
2.8
作者：
A. Guenanou;A. Houmat;M. Hachemi;R. Chebout;K. Bacharı
通讯作者：
A. Guenanou;A. Houmat;M. Hachemi;R. Chebout;K. Bacharı
DOI：
10.2514/6.2003-1420
发表时间：
2003
期刊：
--
影响因子：
--
作者：
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通讯作者：
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影响因子：
5.6
作者：
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通讯作者：
A. Viglietti;E. Zappino;E. Carrera
影响因子：
2.9
作者：
E. Carrera;A. G. D. Miguel;A. Pagani
通讯作者：
E. Carrera;A. G. D. Miguel;A. Pagani
影响因子：
2.8
作者：
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通讯作者：
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