| 大规模动力系统改进的快速精细积分方法 |
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| 引用本文： | 高强,吴锋,张洪武,林家浩,钟万勰. 大规模动力系统改进的快速精细积分方法[J]. 计算力学学报, 2011, 28(4): 493-498 |
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| 作者姓名： | 高强 吴锋 张洪武 林家浩 钟万勰 |
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| 作者单位： | 大连理工大学工业装备结构分析国家重点实验室工程力学系,大连,116024 |
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| 基金项目： | 国家自然科学基金(10902020, 10721062);973项目(2010CB832704,2011CB711105);863项目(2009AA044501);辽宁省博士启动基金(20081091);辽宁省重点实验室项目(2009S018);铁道部科技研究开发课题(2010T001-C);大连理工大学青年教师培养基金资助项目. |
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| 摘 要： | 提出一种针对大规模动力系统的改进的快速精细积分方法（FPIM）。以精细积分方法为基础,利用大规模动力系统矩阵的稀疏性和动力问题的物理特性,分析了矩阵指数的特殊结构,并基于此给出一种计算大规模动力系统矩阵指数及其动力响应的高效率方法。
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| 关 键 词： | 动力系统 稀疏矩阵 精细积分 矩阵指数 快速算法 |
| 收稿时间： | 2010-12-01 |
| 修稿时间： | 2011-04-25 |
A fast precise integration method for large-scale dynamic structures |
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| GAO Qiang,WU Feng,ZHANG Hong-wu,LIN Jia-hao and ZHONG Wan-xie. A fast precise integration method for large-scale dynamic structures[J]. Chinese Journal of Computational Mechanics, 2011, 28(4): 493-498 |
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| Authors: | GAO Qiang WU Feng ZHANG Hong-wu LIN Jia-hao ZHONG Wan-xie |
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| Affiliation: | State Key Laboratory for Structural Analysis for Industrial Equipment,Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, China;State Key Laboratory for Structural Analysis for Industrial Equipment,Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, China;State Key Laboratory for Structural Analysis for Industrial Equipment,Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, China;State Key Laboratory for Structural Analysis for Industrial Equipment,Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, China;State Key Laboratory for Structural Analysis for Industrial Equipment,Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, China |
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| Abstract: | In this paper, a fast precise integration method (FPIM) for computing the dynamic responses of large-scale structural systems has been proposed. By using the sparse property of system matrix and especially the physical nature of the system, the special structure of matrix exponential was given, then a fast algorithm for computing matrix exponential and the dynamic responses of large-scale structural systems was proposed. The numerical examples illustrate that the proposed method is fast and accurate. |
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| Keywords: | dynamics system sparse matrix precise integration method matrix exponential fast algorithm |
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