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《Chinese Quarterly of Mechanics》 2000-01
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A Hybrid Granularity Parallel Algorithm to Solve the Large Structure Eigenproblem

LI Hong-yun, SHEN Wei-ping (Department of Engineering Mechanics, Shanghia Jiaotong University, Shanghai 200030, China)  
In this paper, large - scale structural eigenproblem is discussed. On the basis of mode synthesis, the eigenproblem of integrated system is solved combing subspace iterative method and improved Newton - Raphon iterative method, which is time saving compared with the solution using subspace iterative method only. Then, a hybrid granularity parallel algorithm to solve large - scale 'structural eigenproblem is presented, that is , on the basis of coarse granularity parallelization of substructure mode synthesis, the eigenproblem of integrated system is solved using fine granularity parallel method. The fine granularity parallel method includes substructure subspace iterative method, the Jacobi sub - block parallel algorithm and task distributing strategy on multiprocessors of Newton - Raphon iterative method. The substructure subspace iterative method is implemented using the stiff matrix and mass matrix of substructures without assembling the stiff and mass matrix of whole system. Considering the special properties of Jacobi method, the sub - blocks with every element in it whose row and column are not the same with other sub - blocks can be processed using Jacobi method concurrendy. To keep the task balance of each processor, a task allocating strategy of Newton -Raphon iterative method is given considering the precision of the initial iterative eigenpairs. The numerical results show that this hybrid parallel algorithm is effective for large structure eigenproblem.
【Fund】: 船舶工业国防科技应用、基础研究基金;; 振动、冲击、噪声国家重点实验室开放基金(VSH-99001)
【CateGory Index】: O342
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