项松, 陈英涛. 功能梯度梁弯曲分析的无网格解[J]. 力学与实践, 2014, 36(6): 770-773. DOI: 10.6052/1000-0879-14-059
引用本文: 项松, 陈英涛. 功能梯度梁弯曲分析的无网格解[J]. 力学与实践, 2014, 36(6): 770-773. DOI: 10.6052/1000-0879-14-059
XIANG Song, CHEN Yingtao. THE MESHLESS SOLUTION FOR BENDING ANALYSIS OF FUNCTIONALLY GRADED BEAMS[J]. MECHANICS IN ENGINEERING, 2014, 36(6): 770-773. DOI: 10.6052/1000-0879-14-059
Citation: XIANG Song, CHEN Yingtao. THE MESHLESS SOLUTION FOR BENDING ANALYSIS OF FUNCTIONALLY GRADED BEAMS[J]. MECHANICS IN ENGINEERING, 2014, 36(6): 770-773. DOI: 10.6052/1000-0879-14-059

功能梯度梁弯曲分析的无网格解

THE MESHLESS SOLUTION FOR BENDING ANALYSIS OF FUNCTIONALLY GRADED BEAMS

  • 摘要: 利用全局薄板样条径向基配点法分析了功能梯度梁的弯曲问题,径向基函数的形状参数对近似精度有很大的影响,而薄板样条径向基函数的形状参数选取比其他径向基函数要容易. 利用高阶剪切变形理论推导了控制微分方程,将该文的计算结果与已有参考文献中的结果进行了对比,以验证该文方法的精度.

     

    Abstract: This paper focuses on the bending analysis of functionally graded beams using a meshless global thin plate spline radial basis function collocation method. The shape parameter of the radial basis function plays an important role in the numerical accuracy. The determination of the shape parameter in the thin plate spline radial basis function is easier than that in other radial basis functions. The governing differential equations are derived based on the higher order shear deformation theory. The present results are compared with available published results which demonstrates the accuracy of the present method.

     

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