千万自由度量级有限元模态分析并行计算研究

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摘要大规模有限元模态分析在一些重大装备研制过程中有迫切需求,对于实现装置系统级分析具有重要意义。本文基于隐式重启动Arnoldi、Krylov-Schur和Jacobi-Davidson三种主流算法和PANDA并行计算框架，构建了大规模模态分析并行计算体系；将并行求解体系应用于某光机主体结构，实现了其上千万自由度、数千核的模态分析并行计算；结合算例对三种主流算法的适应性和并行可扩展性进行了评估。研究结果表明，基于三种算法构建的并行求解体系均可在1小时内求解千万自由度量级的大规模模态分析问题,并行可扩展性非常优异。

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	范宣华1 肖世富1 陈璞2

关键词 ：有限元法, 大规模模态分析, 并行计算

Abstract：In the development of large equipments, the demand of large-scale finite element modal analysis is very strong due to its important significance in realizing the systemic analysis of entire structures. Based on the three predominant algorithms (i.e. implicitly restarted Arnoldi method, Krylov-Schur method and Jacobi-Davidson method ) and the PANDA framework, a large-scale parallel computing system for modal analysis is established. As a typical application, the solution system is applied to the main structure of Shenguang and a parallel modal analysis with over ten-million degrees of freedom and thousands of CPU processors is achieved. The adaptability and parallel scalability of the three algorithms are discussed according to the numerical example. Results show that the parallel solution system can solve the modal analysis problems over ten millions degrees of freedom within one hour and the parallel performance is very favorable.

Key words： finite element method large-scale modal analysis parallel computation

收稿日期: 2014-05-07 出版日期: 2015-09-15

引用本文:

范宣华1 肖世富1 陈璞2. 千万自由度量级有限元模态分析并行计算研究[J]. 振动与冲击, 2015, 34(17): 77-82.
FAN Xuan-hua1 XIAO Shi-Fu1 CHEN Pu2. Parallel Computing Study on Finite Element Modal Analysis over Ten-million Degrees of Freedom. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(17): 77-82.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2015/V34/I17/77

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