| 宋薇薇,项松,赵锐.基于薄板样条径向基函数的功能梯度板静力分析[J].计算力学学报,2025,42(3):504~512 |
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| 基于薄板样条径向基函数的功能梯度板静力分析 |
| Static analysis of functionally graded plates based on thin plate spline radial basis function |
| 投稿时间：2024-01-17 修订日期：2024-02-28 |
| DOI：10.7511/jslx20240117002 |
| 中文关键词: 薄板样条 径向基函数 功能梯度板 静力分析 高阶理论 无网格 |
| 英文关键词:thin plate spline radial basis function functionally graded plates static analysis high-order theory meshless |
| 基金项目:2022年度辽宁省教育厅项目(LJKMZ 20220558;LJKMZ 20220564)资助. |
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| 中文摘要: |
| 采用高阶剪切变形理论来对功能梯度板进行建模。控制微分方程采用基于薄板样条径向基函数的无网格方法离散。本文的计算结果与已有文献的计算结果进行了比较,两者具有较好的一致性,同时说明薄板样条径向基函数法在功能梯度板分析中的准确性和有效性。本文提出的考虑层边界离散性的新层合板理论比其他具有五个全局变量的层合板理论具有更精确的位移和应力。数值算例表明,采用薄板样条径向基函数对功能梯度板进行静力分析具有较高的精度和良好的收敛性。 |
| 英文摘要: |
| In this paper,the high-order shear deformation theory is used to model functionally graded plates.The governing differential equations are discretized by a meshless method based on thin plate spline radial basis functions.The calculation results of this article are compared with those of Zenkour et al.,and good consistency between the two sets of results indicates the accuracy and effectiveness of the thin plate spline radial basis function method in the analysis of functionally graded plates.It is clear that,the new laminated plate theory proposed in this article that considers the discretization of layer boundaries produces more accurate displacement and stress than other laminated plate theories with five global variables.Numerical examples show that using thin plate spline radial basis functions for static analysis of functionally graded plates has high accuracy and good convergence. |
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