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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method
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Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method

机译：基于FSDT的对称层压板振动最小二乘微分求积振动法。

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摘要

In this paper, we adopt the first-order shear deformation theory in the moving least squares differential quadrature (MLSDQ) procedure for predicting the free vibration behavior of moderately thick symmetrically laminated composite plates. The transverse deflection and two rotations of the laminate are independently approximated with the moving least squares (MLS) approximation. The weighting coefficients used in the MLSDQ approximation are obtained through the fast computation of the MLS shape functions and their partial derivatives. The natural frequencies of vibration are computed for various laminated plates and compared with the available published results. Through numerical experiments, the capability and efficiency of the MLSDQ method for eigenvalue problems are demonstrated, and the numerical accuracy and convergence are thoughtfully examined. Effects of the size of support, order of completeness of the basis functions and node irregularity on the numerical accuracy are also investigated.
机译：在本文中，我们在移动最小二乘微分正交（MLSDQ）过程中采用一阶剪切变形理论来预测中等厚度对称层压复合板的自由振动行为。层压板的横向挠度和两次旋转分别用最小二乘法（MLS）进行近似估算。通过快速计算MLS形状函数及其偏导数，可以获得MLSDQ逼近中使用的加权系数。计算各种层压板的振动固有频率，并将其与可用的公开结果进行比较。通过数值实验，证明了MLSDQ方法求解特征值问题的能力和效率，并仔细研究了数值精度和收敛性。还研究了支撑尺寸，基函数完整性顺序和节点不规则性对数值精度的影响。

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