| 周期结构动力响应的高效数值方法 |
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| 引用本文： | 高强,姚伟岸,吴锋,张洪武,林家浩,钟万勰. 周期结构动力响应的高效数值方法[J]. 力学学报, 2011, 43(6): 1181-1185. DOI: 10.6052/0459-1879-2011-6-lxxb2010-783 |
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| 作者姓名： | 高强 姚伟岸 吴锋 张洪武 林家浩 钟万勰 |
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| 作者单位： | 1.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 |
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| 基金项目： | 国家自然科学基金项目(10902020,11072051); 国家高技术研究发展计划(2009AA044501); 国家重点基础研究发展计划(2011CB711105); 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)资助~~ |
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| 摘 要： | 提出一种计算周期结构动力响应的高效率算法. 以精细积分方法为基础, 利用周期结构的对称性和动力问题的物理特性, 分析了周期结构对应矩阵指数的特殊结构, 并基于此给出一种计算周期结构对应矩阵指数的高效率方法. 在高效和精确计算周期结构对应矩阵指数的基础上, 得到了周期结构动力响应的高效率和高精度算法. 数值算例表明, 该方法效率高且节省存储要求.
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| 关 键 词： | 高效算法 |
| 收稿时间： | 2010-12-01 |
| 修稿时间： | 2011-05-30 |
AN EFFICIENT ALGORITHM FOR DYNAMIC RESPONSE OF PERIODIC STRUCTURES |
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| Gao Qiang Yao Weian Wu Feng Zhang Hongwu Lin Jiahao Zhong Wanxie. AN EFFICIENT ALGORITHM FOR DYNAMIC RESPONSE OF PERIODIC STRUCTURES[J]. chinese journal of theoretical and applied mechanics, 2011, 43(6): 1181-1185. DOI: 10.6052/0459-1879-2011-6-lxxb2010-783 |
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| Authors: | Gao Qiang Yao Weian Wu Feng Zhang Hongwu Lin Jiahao Zhong Wanxie |
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| Affiliation: | 1.Department of Engineering Mechanics, State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, China2.State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In this paper,an efficient algorithm was proposed for computing the dynamic response of periodic structures.Based on precise integration method,by using the symmetry of periodic structures and the physical feature of dynamic structures,the special structure of matrix exponential for periodic structures was given,and then an efficient algorithm for computing matrix exponential and the dynamic response of periodic structures was proposed.The algorithm is confirmed to be efficient and memory-saving. |
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| Keywords: | periodic structures matrix exponential precise integration method dynamic efficient algorithm |
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