Acta Mechanica Solida Sinica

, Volume 21, Issue 1, pp 28–33 | Cite as

A hybrid granularity parallel algorithm for precise integration of structural dynamic responses

  • Yuanyin Li
  • Xianlong Jin
  • Genguo Li


Precise integration methods to solve structural dynamic responses and the corresponding time integration formula are composed of two parts: the multiplication of an exponential matrix with a vector and the integration term. The second term can be solved by the series solution. Two hybrid granularity parallel algorithms are designed, that is, the exponential matrix and the first term are computed by the fine-grained parallel algorithm and the second term is computed by the coarse-grained parallel algorithm. Numerical examples show that these two hybrid granularity parallel algorithms obtain higher speedup and parallel efficiency than two existing parallel algorithms.

Key words

dynamic response precise integration hybrid granularity parallel algorithm 


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  1. [1]
    Zhong, W.X., On precise time-integration method for structural dynamics. Journal of Dalian University of Technology, 1994, 34(2): 131–136.(in Chinese).MathSciNetzbMATHGoogle Scholar
  2. [2]
    Shen, W.P., Lin, J.H. and Williams, F.W., Parallel computing for the high precision direct integration method. Computer Methods in Applied Mechanics and Engineering, 1995, 126: 315–331.CrossRefGoogle Scholar
  3. [3]
    Shen, W.P. and Song, H.M., High precision direct integration method for structures subjected to arbitrary dynamic loading and its parallel implementation. Journal of Vibration Engineering, 1996, 9(4): 333–340.(in Chinese).MathSciNetGoogle Scholar
  4. [4]
    Li, J.Q. and Yu, J.H., Explicit series solution under precise integration for nonlinear dynamics system. Journal of Sichuan University (Engineering Science Edition), 2002, 34(2): 24–27 (in Chinese).Google Scholar
  5. [5]
    Li, Y.Y. and Jin, X.L., etc, A parallel algorithm of high precision direct integration method for structural dynamic response. Chinese Journal of Computational Mechanics, 2005, 22(5): 574–578 (in Chinese).Google Scholar
  6. [6]
    Wilkinson, B. and Allen, M., Parallel Programming. Beijing: Machine Industry Press, 2002 (in Chinese).Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2008

Authors and Affiliations

  • Yuanyin Li
    • 1
  • Xianlong Jin
    • 1
  • Genguo Li
    • 2
  1. 1.High Performance Computing CenterShanghai Jiaotong UniversityShanghaiChina
  2. 2.Shanghai Supercomputer CenterShanghaiChina

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