| Fast Multipole BEM for 3-D Elastostatic Problems with Applications for Thin Structures |
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| 作者姓名： | 赵丽滨 姚振汉 |
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| 作者单位： | DepartmentofEngineeringMechanics,TsinghuaUniversity,Beijing100084,China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (No. 10172053) |
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| 摘 要： | The fast multipole method (FMM) has been used to reduce the computing operations and memory requirements in large numerical analysis problems. In this paper, the FMM based on Taylor expansions is combined with the boundary element method (BEM) for three-dimensional elastostatic problems to solve thin plate and shell structures. The fast multipole boundary element method (FM-BEM)requires O(N) operations and memory for problems with N unknowns. The numerical results indicate that for the analysis of thin structures, the FM-BEM is much more efficient than the conventional BEM and the accuracy achieved is sufficient for engineering applications.
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| 关 键 词： | 工程结构 边界元方法 快速多级方法 3-D弹性静态问题 薄壳结构 泰勒级数 多极展开式 |
| 收稿时间： | 10 August 2004 |
| 修稿时间： | 30 August 2004. |
Fast Multipole BEM for 3-D Elastostatic Problems with Applications for Thin Structures |
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| Libin Zhao,
íî,Zhenhan Yao, Ú .Fast Multipole BEM for 3-D Elastostatic Problems with Applications for Thin Structures[J].Tsinghua Science and Technology,2005,10(1):67-75. |
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| Authors: | Libin Zhao
íî Zhenhan Yao Ú |
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| Institution: | Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China |
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| Abstract: | The fast multipole method (FMM) has been used to reduce the computing operations and mem- ory requirements in large numerical analysis problems. In this paper, the FMM based on Taylor expansions is combined with the boundary element method (BEM) for three-dimensional elastostatic problems to solve thin plate and shell structures. The fast multipole boundary element method (FM-BEM) requires O(N) opera- tions and memory for problems with N unknowns. The numerical results indicate that for the analysis of thin structures, the FM-BEM is much more efficient than the conventional BEM and the accuracy achieved is sufficient for engineering applications. |
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| Keywords: | boundary element method Taylor series multipole expansion thin structures |
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