| 无网格MLPG法求解轴对称弹性体扭转问题 |
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| 引用本文： | 郑健龙,杨建军.无网格MLPG法求解轴对称弹性体扭转问题[J].应用力学学报,2011,28(3). |
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| 作者姓名： | 郑健龙 杨建军 |
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| 作者单位： | 长沙理工大学,410076长沙 |
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| 基金项目： | 国家自然科学基金(51038002); 湖南省科技计划(2010FJ6023); 道路结构与材料交通行业重点实验室(长沙)开放基金(kfj100201) |
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| 摘 要： | 应用无网格局部彼得洛夫-伽辽金法(MLPG)研究轴对称弹性体扭转问题,给出了矩阵形式的控制方程,发展了MLPG求解轴对称体弹性扭转问题的数值计算方法。算例分析表明:此方法对求解此类问题具有良好的适应性,数值解能达到理想的计算精度。
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| 关 键 词： | 无网格法 局部彼得洛夫-伽辽金法 轴对称弹性体 扭转 数值解 |
Solving torsion problems of axisymmetric elastic body by meshless local Petrov-Galerkin(MLPG) method |
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| Zheng Jianlong Yang Jianjun.Solving torsion problems of axisymmetric elastic body by meshless local Petrov-Galerkin(MLPG) method[J].Chinese Journal of Applied Mechanics,2011,28(3). |
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| Authors: | Zheng Jianlong Yang Jianjun |
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| Institution: | Zheng Jianlong Yang Jianjun(Key Laboratory of Road Structure and Material of Ministry of Transport,Changsha University of Science and Technology,410076,Changsha,China) |
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| Abstract: | The meshless local Petrov-Galerkin(MLPG) method is applied to overcome the practical challenge of solving torsion problems of axisymmetric elastic body.The governing equations in matrix form are given,and the numerical approach for the problem by MLPG is developed.Numerical examples demonstrate that the proposed method is available and effective for solving such problems,and the numerical accuracy is also satisfactory. |
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| Keywords: | meshless method the meshless local Petrov-Galerkin method(MLPG) axisymmetric elastic body torsion problems numerical solution |
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