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Free Vibration Analysis Of Symmetric Laminated Composite Plates By Trigonometric Shear Deformation Theory And Inverse Multiquadric Rbf

机译:基于三角剪切变形理论和逆二次平方Rbf的对称层合复合板自由振动分析

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摘要

Based on the trigonometric shear deformation theory for laminated beams, the differential governing equations of symmetric laminated composite plates are derived. The differential governing equations discretized by a meshless collocation method based on the inverse multiquadric radial basis function is used to predict the free vibration behavior of symmetric laminated composite plates. Natural frequencies are computed for various material parameters, geometry parameters of laminated plates, and are compared with some available published results. The influence of grid pattern, modulus ratio, and side-to-thickness ratio on natural frequencies is also investigated. Through numerical experiments, the high numerical accuracy and the good convergence of the trigonometric shear deformation theory discretized by the inverse multiquadric radial basis function for free vibration analysis of symmetric laminated composite plates are demonstrated.
机译:基于层合梁的三角剪切变形理论,推导了对称层合板的微分控制方程。基于逆二次方径向基函数,通过无网格配点法离散化的微分控制方程,用于预测复合材料层合板的自由振动行为。计算各种材料参数,层压板的几何参数的固有频率,并将其与一些可用的公开结果进行比较。还研究了网格图案,模量比和边长比对固有频率的影响。通过数值实验,证明了利用逆多二次方径向基函数离散化的三角剪切变形理论在对称层压复合板自由振动分析中的较高数值精度和良好收敛性。

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