| 在MIMD型机上求解板的临界载荷的一种并行算法 |
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| 引用本文： | 吕全义,叶天麒.在MIMD型机上求解板的临界载荷的一种并行算法[J].航空学报,1994,15(8):975-979. |
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| 作者姓名： | 吕全义 叶天麒 |
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| 作者单位： | 西北工业大学一系 |
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| 摘 要： | 提出了一种在ＭＩＭＤ型并行机上求解板的临界载荷的子结构方法的并行算法。此算法实际上就是解决Ａｘ＝λＢｘ广义特征值问题（其中Ａ、Ｂ为正定的箭头型矩阵）。主要通过矩阵变换将此问题转化成适合并行算法的一般特征值问题。给出了此并行算法的并行加速及效率的分析和算例,证明了此并行算法的优越性。
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| 关 键 词： | 并行处理 本征矢量 同余 矩阵法 |
A PARALLEL ALGORITHM ON THE MIMD FOR THE CALCULATION OF BUCKLING LOADS OF THE PLATE |
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| Lu Quanyi, Ye Tianqi.A PARALLEL ALGORITHM ON THE MIMD FOR THE CALCULATION OF BUCKLING LOADS OF THE PLATE[J].Acta Aeronautica et Astronautica Sinica,1994,15(8):975-979. |
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| Authors: | Lu Quanyi Ye Tianqi |
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| Institution: | First Department, Northwestern Polytechnical University, Xi’an,710072 |
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| Abstract: | A parallel algorithm is presented which is based on the substructure technique of the finite element method for detennining the critical loads of thin elastic plates.The single path subdivision approach is used for the numbering of the nodes ofthe finite element mesh;therefore the doubly bordered band form of the stiffness matrices can be obtained.By using a congruence transfonnation,an equivalent mathematical model of the generalized eigenvalue problem is es- tablished to fit the parallel processing for calculating the critical loads of the plate stability prob- lem. The criterion for the evaluation of the speed-up of the parallel computation is given. Nu- merical analyses have been perfonned to illustrate the efficiency and the advantages of the parallel proeessing on Multi-Transputer System. |
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| Keywords: | parallel processing(computers) eigenvalues congruences matrix methods |
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