| 大型结构特征值问题的Lanczos子结构并行算法 |
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| 引用本文： | 张汝清,胡宁. 大型结构特征值问题的Lanczos子结构并行算法[J]. 计算力学学报, 1991, 8(4) |
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| 作者姓名： | 张汝清 胡宁 |
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| 作者单位： | 重庆大学工程力学系(张汝清)，重庆大学工程力学系(胡宁) |
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| 基金项目： | 西安交通大学国家结构强度与振动重点实验室国家基金 |
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| 摘 要： | 本文利用子结构和Lanczos方法,提出了大型结构固有频率与模态的并行解法。该方法在Lanczos方法的求解过程中,仅利用子结构刚度阵和质量阵并行进行凝聚,进而求得新的迭代矢量,最终求得三对角阵对应的特征值和特征向量。该算法在西安交通大学ELXSI-6400并行计算机上程序实现,计算结果表明能有效地节省计算时间和计算机的内存,为一种有效的大型工程结构动力问题的求解方法。
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| 关 键 词： | 并行算法 子结构方法 Lanczos方法 |
A Parallel Algorithm for Solving the Eigenvalue Problem of Structures by Using the Substructure Method and Lanczos Method |
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| Zhang Ruqing Hit Ning. A Parallel Algorithm for Solving the Eigenvalue Problem of Structures by Using the Substructure Method and Lanczos Method[J]. Chinese Journal of Computational Mechanics, 1991, 8(4) |
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| Authors: | 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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| Keywords: | parallel algorithm substructure mathod Lanczos algorithm |
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