Free vibration of shear deformable symmetric VSCL elliptical plates by a curved rectangular p-element
Free vibration of shear deformable symmetric VSCL elliptical plates by a curved rectangular p-element
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DOI：
10.1080/15376494.2020.1770382
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发表时间：
2020-05
影响因子：
2.8
通讯作者：
A. Guenanou;A. Houmat;M. Hachemi;R. Chebout;K. Bacharı
中科院分区：
文献类型：
--
作者：
A. Guenanou;A. Houmat;M. Hachemi;R. Chebout;K. Bacharı
摘要将基于一阶剪切变形理论的p型有限元法应用于含曲线纤维的对称变刚度复合材料层合椭圆板的自由振动问题。建立了一种用于模拟椭圆板的曲线分层矩形单元。用混合函数法精确地描述了几何形状。单元刚度和质量矩阵积分数值使用高斯-勒让德积分。采用拉格朗日法导出了运动方程。对各向同性等刚度复合材料层合圆板和椭圆板进行了收敛性检验，并与文献中的数据进行了比较。给出了固支和软简支对称VSCL椭圆板的基频随纤维取向角变化的等值线图。厚度比，纵横比，边界条件和力学参数的最低五个模式的频率上的效果进行了研究和讨论。通过考虑纤维取向角和堆叠顺序的影响，研究了模式形状。
Abstract The p-version of the finite element method based on the first-order shear deformation theory (FSDT) is applied, to the free vibration of symmetric variable stiffness composite laminated (VSCL) elliptical plates, with curvilinear fibers. A curved hierarchical rectangular finite element is developed and used to model the elliptical plate. The geometry is described accurately by the blending function method. The element stiffness and mass matrices are integrated numerically using the Gauss-Legendre quadrature. The equations of motion are derived employing Lagrange’s method. The numerical results are validated by means of convergence tests and compared with available data in the literature, for isotropic and constant stiffness composite laminated (CSCL) circular and elliptical plates. The contour plots of the fundamental frequency as a function of the fiber orientation angles are presented for clamped and soft simply supported symmetric VSCL elliptical plates. The effect of thickness ratio, aspect ratio, boundary conditions, and mechanical parameters on the frequencies of the lowest five modes is investigated and discussed. The mode shapes are examined by considering the effect of the fiber orientation angles and stacking sequences.