| 基于滑动Kriging插值的无网格MLPG法求解结构动力问题 |
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| 引用本文： | 王 峰,林 皋,郑保敬,胡志强,刘俊..基于滑动Kriging插值的无网格MLPG法求解结构动力问题[J].振动与冲击,2014,33(4):27-31. |
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| 作者姓名： | 王 峰 林 皋 郑保敬 胡志强 刘俊. |
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| 作者单位： | 1. 大连理工大学 水利工程学院，大连 116024；2. 大连理工大学 航空航天学院，大连 116024 |
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| 基金项目： | 国家自然科学基金重点项目(51138001);国家自然科学基金委创新研究群体基金(51121005);上海交通大学海洋工程国家重点实验室开放基金(1202);中国博士后科学基金(2013M530919);国家重大科技专项“cap1400安全审评技术与独立验证试验”(2011ZX06002-10);重大科技专项“cap1400关键审评技术研究”(2013ZX06002001-09);中央高校基本科研业务费专项资金(DUT13LK16) |
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| 摘 要： | 利用基于滑动Kriging插值的无网格局部Petrov-Galerkin (MLPG) 法来求解二维结构动力问题，Heaviside分段函数作为局部弱形式的权函数并采用精细积分法来离散时间域。基于滑动Kriging插值构造的形函数满足Kronecker Delta性质，因此可以直接施加本质边界条件。刚度矩阵形成过程中只涉及到边界积分，而没有涉及到区域积分和奇异积分。计算结果表明：基于滑动Kriging插值的MLPG法具有模拟简单、计算精度高等优点。
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| 关 键 词： | 滑动Kriging插值 无网格局部Petrov-Galerkin 无网格法 Heaviside函数 结构动力问题 |
| 收稿时间： | 2012-11-2 |
| 修稿时间： | 2013-4-8 |
A meshless local Petrov-Galerkin method basing on the moving Kriging interpolation for structural dynamic analysis |
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| Wang Feng Lin Gao Zheng Bao-jing Hu Zhi-qiang,LIU Jun..A meshless local Petrov-Galerkin method basing on the moving Kriging interpolation for structural dynamic analysis[J].Journal of Vibration and Shock,2014,33(4):27-31. |
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| Authors: | Wang Feng Lin Gao Zheng Bao-jing Hu Zhi-qiang LIU Jun |
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| Affiliation: | 1. School of Hydraulic Engineering, Dalian University of Technology, Dalian 116024, China；2. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | A meshless local Petrov-Galerkin (MLPG) method basing on the moving Kriging interpolation is employed for solving two-dimensional structural dynamic problems, in which the Heaviside step function is used as the test function in each sub-domain and the precise time step integration method is selected for the time discretization scheme. The essential boundary conditions can be implemented directly as the shape functions possess the Kronecker Delta property. This method does not involve the sub-domain and singularity integral in generating the global stiffness matrix except for the boundary integral. Numerical examples have shown that the MLPG method basing on the moving Kriging interpolation has the advantage of easy implementation and high accuracy. |
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| Keywords: | moving Kriging interpolationmeshless local Petrov-Galerkin methodmeshless methodHeaviside step functionstructural dynamic problems |
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