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A Parallel Algorithm for Solving the Eigenvalue Problem of Structures by Using the Substructure Method and Lanczos Method |
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DOI:10.7511/jslx19914052 |
KeyWord:parallel algorithm, substructure mathod, Lanczos algorithm |
Zhang Ruqing Hit Ning |
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Abstract: |
In this paper, a parallel algerithm fer caleulating rat(?)al (?) modes shape of large structural systems is presented by using the substructure method and Lanczos method.In the process of Lanczos me thcd computation,this method uses only substructural stiffness matrices and mass matrices to carry cut static condensation concurrently and to get new iterative vecter. Finally the eigenvalues and eigenvectors of a tridiagcnal matrix gotten frem above steps are calculated. The programming of this algorithm has been realized on ELXSI-6400 parallel computer of Xian Jiaotong university. The computational results show the computational time and memory space can be saved effsetivaly This algorithm is an effective method of the dynamic prohlems of large-scale engineering structures. |
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