| 功能梯度梁弯曲分析的无网格解 |
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| 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 |
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| 作者姓名： | 项松 陈英涛 |
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| 作者单位： | 1. 辽宁省通用航空重点实验室, 沈阳航空航天大学, 沈阳 100136; 2. 航空航天工程学部, 沈阳航空航天大学, 沈阳 110136 |
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| 基金项目： | 辽宁省教育厅科研项目(L2013073) 和辽宁省科技厅工业攻关及成果产业化项目(2012220013) 资助. |
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| 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.
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| 关 键 词： | 无网格 弯曲 功能梯度梁 薄板样条 |
| 收稿时间： | 2014-04-17 |
THE MESHLESS SOLUTION FOR BENDING ANALYSIS OF FUNCTIONALLY GRADED BEAMS |
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| 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 |
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| Authors: | XIANG Song CHEN Yingtao |
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| Affiliation: | 1. Liaoning Key Laboratory of General Aviation, Shenyang Aerospace University, Shenyang 110136, China; 2. Faculty of Aerospace Engineering, Shenyang Aerospace University, Shenyang 110136, China |
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| 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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| Keywords: | meshless|bending|functionally graded beams|thin plate spline |
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