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采用高斯径向基函数和一阶剪切变形理论对普通复合材料叠合板的固有频率进行了计算。采用几个数值计算案例来说明此法的收敛性和准确性。结果发现:当采用形状参数c=1·7×NS(NS为每一侧的节点数)计算固有频率时,收敛速度最快,而且与现有文献中的结果一致。这同时也证明了采用高斯径向基函数对普通复合材料层合板进行振动分析的高度准确性。
Gaussian radial basis function and first-order shear deformation theory are used to calculate the natural frequency of ordinary composite laminated plates. Using several numerical examples to illustrate the convergence and accuracy of this method. The results show that when the natural frequency is calculated by using the shape parameter c = 1.7 × NS (NS is the number of nodes on each side), the convergence speed is the fastest, and the result is consistent with the existing literature. This also proves the high accuracy of using Gaussian radial basis function to analyze the vibration of ordinary composite laminates.