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针对大型高面板堆石坝有限元计算中常用的直接法存在存储空间大、计算时间长的问题,根据刚度矩阵稀疏性特点,采用对称逐步超松弛预处理共轭梯度法(SSOR-PCG法)的改进算法求解线性方程组,并提出了与该算法相适应的有限元刚度矩阵压缩存储的新方法,以典型面板堆石坝为例,将快速求解法和一维半带宽直接法在计算精度、内存占用、计算耗时三方面进行了比较分析。结果表明,快速求解法具有精度高、速度快、占用内存少的优点,可应用于大规模土石坝有限元分析中。
According to the sparsity characteristic of stiffness matrix, symmetric stepwise over relaxation preconditioned conjugate gradient method (SSOR-PCG method) is used to solve the problem that the direct method commonly used in finite element calculation of large-scale high concrete face rockfill dam has large storage space and long computation time. , A new method of compressing and storing finite element stiffness matrix is put forward. Taking the typical concrete face rockfill dam as an example, the rapid solution method and the one-dimensional half-bandwidth direct method are used in the calculation accuracy , Memory consumption, time-consuming three aspects of a comparative analysis. The results show that the rapid solution method has the advantages of high precision, fast speed and less occupied memory, which can be applied to the large-scale earth-rock dam finite element analysis.