结构动力响应精细积分级数解的并行计算

李渊印; 金先龙; 张晓云; 李根国

结构动力响应精细积分级数解的并行计算

1.
上海交通大学高性能计算中心, 上海 200030
2.
上海超级计算中心, 上海 201203

基金项目: 国家自然科学基金资助项目(60273048)

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- 被引次数: 0
出版历程
- 收稿日期: 2005-08-08
- 修回日期: 2006-09-21
- 刊出日期: 2006-10-28

Parallel computing of series solution of precise integration for structural dynamic response

1.
High Performance Computing Center, Shanghai Jiaotong University, Shanghai 200030, China
2.
Shanghai Supercomputer Center, Shanghai 201203, China

摘要

摘要: 讨论了精细积分法的存储需求问题,指出级数解更适合计算大型结构的动力响应分析。研究了精细积分法级数解的并行计算,精细积分法的时程积分公式包含两项,采用第一项串行、第二项并行的并行算法对精细积分级数解实施并行计算,给出了相应的实现流程。讨论了并行算法的负载分配策略,为减少处理器等待初值的时间,对时间步数实施非平均分配。算例表明,并行算法具有好的加速比。
- 航空、航天推进系统 /
- 动力响应 /
- 精细积分 /
- 级数解 /
- 并行算法
Abstract: Storage requirements of precise integration method were discussed.Series solution of the method suits dynamic response analysis of large-scale structures much better than other methods.Parallel computing of series solution has been researched and implemented.Time integration of precise integration method includes two items.The first item was computed serially and the second item was computed in parallel.Then a corresponding flowchart was given.Load distributed strategies were discussed for the parallel algorithm.The unbalanced distribution of time steps was implemented.The strategy can decrease the waiting time of the initial value for each processor.The final example shows that parallel algorithm of series solution has high speedup.
- aerospace propulsion system /
- dynamic response /
- precise integration /
- series solution /
- parallel algorithm

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参考文献(10)

[1]	钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(2):131-136.Zhong Wanxie.On precise time-integration method for structural dynamics[J].Journal of Dalian University of Technology,1994,34(2):131-136.
[2]	钟万勰.暂态历程的精细计算方法[J].计算结构力学及其应用,1995,12(1):1-6.Zhong Wanxie.Precise computation for transient analysis[J].Computational Structural Mechanics and Applications,1995,12(1):1-6.
[3]	钟万勰.矩阵黎卡提方程的精细积分法[J].计算结构力学及其应用,1994,11(2):113-119.Zhong Wanxie.The Precise integration for matrix Riccati eguations[J].Computational Structural Mechanics and Applications,1994,11(2):113-119.
[4]	钟万勰.子域精细积分及偏微分方程数值解[J].计算结构力学及其应用,1995,12(3):253-260.Zhong Wanxie.Subdomain precise integration method and numerical solution of partial differential equations[J].Computational Structural Mechanics and Applications,1995,12(3):253-260.
[5]	林家浩,钟万勰,张文首.结构非平稳随机响应方差矩阵的直接精细积分计算[J].振动工程学报,1999,12(1):1-8.Lin Jiahao,Zhong Wanxie,Zhang Wenshou.Precise integration of the variance matrix of structural non-stationary random responses[J].Journal of Vibration Engineering,1999,12(1):1-8.
[6]	Shen Weiping,Lin Jiahao,Williams FW.Parallel computing for the high precision direct integration method[J].Computer Methods in Applied Mechanics and Engineering,1995,126:315-331.
[7]	沈为平,宋华茂.任意荷载作用下结构动力响应的并行算法[J].振动工程学报,1996,9(4):333-340.Shen Weiping,Song Huamao.High precision direct integration method for structures subjected to arbitrary dynamic loading and its parallel implementation[J].Journal of Vibration Engineering,1996,9(4):333-340.
[8]	沈为平,林家浩,宋华茂.结构随机响应的并行计算[J].振动与冲击,1995,54(2):72-76.Shen Weiping,Lin Jiahao,Song Huamao.Parallel computing for non-stationary seismic responses of structures[J].Journal of Vibration and Shock,1995,54(2):72-76.
[9]	李金桥,于建华.非线性动力系统精细积分下的显式级数解[J].四川大学学报(工程科学版),2002,34(2):24-27.Li Jinqiao,Yu Jianhua.Explicit series solution under precise integration for nonlinear dynamics system[J].Journal of Sichuan University(Engineering Science Edition),2002,34(2):24-27.
[10]	Tomasz Kucharski.A method for dynamic response analysis of time-variant discrete systems[J].Computers and Structures,2000,76:545-550.