| 大型结构动力响应的状态方程的Krylov精细时程积分法 |
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| 引用本文： | 陈臻林.大型结构动力响应的状态方程的Krylov精细时程积分法[J].力学与实践,2010,32(2). |
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| 作者姓名： | 陈臻林 |
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| 作者单位： | 成都理工大学,环境与土木工程学院,成都,610059 |
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| 基金项目： | 成都理工大学科研流动项目(HS0094);;地质灾害防治与地质环境保护实验室自主研究课题项目(HS0094)资助 |
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| 摘 要： | 提出了一种新的精细时程积分法来求解大型动力系统.结合Krylov子空间法、培德级数近似以及一般载荷的维数扩展法,进一步提高精细时程积分法的计算效率.利用维数扩展法避免计算微分方程特解,并可处理任意载荷.对于大型动力系统,通过Krylov子空间的降维分析将问题转化到一个子空间,计算效率得到极大提高.对于迭代次数N的选择作了详细讨论,进一步提高了计算效率.
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| 关 键 词： | 精细时程积分算法 Krylov子空间法 培德级数近似 |
KRYLOV PRECISE TIME-STEP INTEGRATION ALGORITHM FOR LARGE-SCALE STRUCTURE DYNAMIC EQUATIONS |
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| CHEN Zhenlin.KRYLOV PRECISE TIME-STEP INTEGRATION ALGORITHM FOR LARGE-SCALE STRUCTURE DYNAMIC EQUATIONS[J].Mechanics and Engineering,2010,32(2). |
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| Authors: | CHEN Zhenlin |
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| Institution: | 2;College of Environment and Civil Engineering/a>;Chengdu University of Technology/a>;Changdu 610059/a>;China |
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| Abstract: | An efficient precise time-step integration algorithm to solve large-scale transient problems is presented. The Krylov subspace method,the Pade approximations and the dimensional expanding method of ordinary excitations are applied to modify the original precise time-step integration algorithm in order to improve the computational efficiency.The problems of arbitrary complex excitations can also be solved.For a large-scale system,the efficiency of the algorithm would be influenced because the dimension of sy... |
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