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首页> 外文期刊>Engineering analysis with boundary elements >A meshless collocation method based on radial basis functions for free and forced vibration analysis of functionally graded plates using FSDT
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A meshless collocation method based on radial basis functions for free and forced vibration analysis of functionally graded plates using FSDT

机译：一种基于径向基函数的无丝带搭配方法，用于使用FSDT的功能分级板的自由和强制振动分析

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The current study presents a meshless collocation method based on radial basis functions (MC-RBF) to analyze the free and forced vibration of functionally graded plates. We used the first-order shear deformation plate theory for the displacements and strains. The governing equations are discretized via the MC-RBF method to obtain the natural frequencies. We suggested a new algorithm (modified LOOCV) to acquire the shape parameters of the radial basis function in the free and forced vibration problems. The discretized equations are converted to reduced equations via the proposed transformation matrix. The run-time of this method is significantly lower than the other methods. In particular, the accuracy of the proposed algorithm is acceptable. The discretized equations are reduced by eigenvectors and are converted to state-space form and solved using the numerical Runge-Kutta method. The various boundary conditions are taken into account, such as their clamped, simply supported, free and mixture, and various power-law indices. The results show that the MC-RBF method using a modified LOOCV algorithm is a convenient method for free and forced vibration of FG plates.
机译：目前的研究提出了一种基于径向基函数（MC-RBF）的无网束耦合方法，以分析功能梯度板的自由和强制振动。我们利用一阶剪切变形板理论进行位移和菌株。通过MC-RBF方法离散化程，以获得自然频率。我们建议一种新的算法（改进的LOOCV）来获取自由和强制振动问题中的径向基函数的形状参数。通过所提出的变换矩阵将离散的方程转换为缩小方程。该方法的运行时间显着低于其他方法。特别地，所提出的算法的准确性是可接受的。通过特征向量降低离散的方程，并使用数值径和kutta方法转换为状态空间形成并解决。考虑各种边界条件，例如它们的夹紧，简单地支持，自由和混合，以及各种动力法指数。结果表明，使用改进的LOOCV算法的MC-RBF方法是FG板的自由和强制振动的方便方法。

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