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在分布式并行计算机环境下进行了有限元并行算法的研究,建立了结构动力分析的两种隐式积分方法(Newmark方法和Wilson-θ方法)的并行化方法与算法步骤,设计了变带宽一维存储时有效刚度矩阵的三角分解并行算法;基于Transputer的分布式MIMD并行计算机上,采用3L并行FORTRAN编写了计算程序,并将其移植到有限元串并行混合分析软件PFEM中。以平面问题和空间板弯问题作为实例进行了数值计算。结果表明计算方法具有较高的并行效率。当自由度为7579,最大带宽为726时,2个和3个处理器工作的并行效率分别为0.70和0.55。
A parallel finite element parallel algorithm is studied under distributed parallel computing environment. Parallel methods and algorithm steps of two implicit integration methods (Newmark method and Wilson-θ method) of structural dynamic analysis are established. Dimensional parallel algorithm of the effective stiffness matrix in the storage. The distributed MIMD parallel computer based on Transputer is programmed with 3L parallel FORTRAN and transplanted into finite element parallel mixed analysis software PFEM. Taking the plane problem and the space bending problem as examples, numerical calculation is carried out. The results show that the calculation method has high parallel efficiency. When the degree of freedom is 7579 and the maximum bandwidth is 726, the parallel efficiencies of 2 and 3 processors are 0.70 and 0.55, respectively.