Research Of Amgpcg Parallel Algorithm For High-Rise Structure Analysis Based On Heterogeneous Platform

Elastic-plastic dynamic time-history analysis takes a lot of time,among which solving large sparse equations takes the most time,up to more than 80%.Therefore,to improve the efficiency of solving large sparse equations is an effective way to solve the time-consuming problem of elastic-plastic dynamic time-history analysis.Currently applied to solving equations of structural stiffness matrix of the coefficient matrix algorithm efficiency is not high faults still exist,this topic to solve this problem,based on heterogeneous platforms efficient parallel algebraic multigrid preconditioned conjugate gradient method(AMGPCG)was studied,geared to the needs of high-level structure finite element analysis for the algorithm is optimized,the algorithm is integrated into the finite element analysis program,through multiple examples verify the accuracy and efficiency of the algorithm.This paper mainly carries out the following work:AMGPCG algorithm based on the characteristics of the total stiffness matrix of high-rise structures to optimize the platform construction.AMGPCG method has the potential to greatly improve the efficiency of structural finite element analysis,but the current AMGPCG method cannot be directly used for structural finite element analysis,so it needs to be optimized.This paper analyzes the characteristics of AMGPCG method,and finds that its solution depends on the non-zero distribution mode of matrix,while the non-zero distribution mode of structural total stiffness matrix is the mapping of component and element distribution mode of structural finite element model.Furthermore,the finite element model and total stiffness matrix characteristics of high-rise structures are analyzed,and the high-rise structure model and its total stiffness matrix with some regularity of distribution patterns of components and elements are generated.The AMGPCG algorithm optimization platform is built,laying a foundation for the research on AMGPCG algorithm optimization for finite element analysis of high-rise structures.AMGPCG algorithm optimization for finite element analysis of high-rise structures.Based on the algorithm optimization platform,this paper finds the key role of some parameters on the feasibility and efficiency of AMGPCG algorithm,explores the influence of some features of high-rise structure on the key parameter: relaxation coefficient,and obtains the conclusion that matrix size has no influence on the optimal relaxation coefficient.It is found that the efficiency of aggregation coarsening in finite element analysis of high-rise structures is better than that of classical coarsening.By comparing the efficiency of the optimized AMGPCG algorithm with that of the traditional algorithm,it is found that the AMGPCG algorithm is not only efficient,but also close to linear in the relationship between the solution time and the degree of freedom of the model,which is very suitable for solving large-scale problems.The feasibility and efficiency of AMGPCG algorithm for solving equations with the total stiffness matrix as the coefficient matrix are solved.AMGPCG algorithm based on heterogeneous platform is used to verify the accuracy and efficiency of finite element analysis of high-rise structures.The AMGPCG algorithm are integrated into the finite element analysis program,the optimization of the internal communication software and formed AMGPCGFEM software based on heterogeneous platform,use software to complete the output from model analysis to the results of a complete process,for the first time in the current study successfully applies AMGPCG algorithm fully high-rise structure finite element analysis of the process.The results obtained by the software have a small difference with ABAQUS and higher efficiency,which verifies the accuracy and efficiency of AMGPCG algorithm based on heterogeneous platform.