土体-结构非线性耦合系统动力响应并行计算方法研究

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (24) : 19-26.

论文

王小庆1,2，金先龙1,2，王建炜2

作者信息 +

Study on parallel computing method for dynamic response analysis of soil-structure nonlinear interaction system

WANG Xiao-qing1,2,JIN Xian-long1,2,WANG Jian-wei2

Author information +

文章历史 +

摘要

针对土体-结构非线性耦合（Soil-Structure Interaction，简称SSI）系统动力响应数值模拟带来的大规模计算量问题，提出基于SSI负载均衡及对偶图理论两种区域分解算法的并行计算方法。结合传统的贪婪法及递归坐标对分方法，对这四种方法的并行性能进行研究。SSI采用基于对称罚函数的方法处理，系统方程采用显式中心差分有限元方法求解。对典型的SSI工程问题动力响应进行并行数值模拟，并对这四种方法的可扩展性进行分析。结果表明：基于SSI负载均衡的并行计算方法，充分考虑土体和结构耦合负载的均衡，并行效率最优，基于对偶图理论区域分解的方法和递归坐标对分方法效率次之，贪婪法并行效率最低；随核数增加，并行效率下降，需根据实际模型规模合理选择并行计算核数，获得最优的并行计算效益；基于罚函数的显式有限元方法能够较好的解决SSI动力响应问题。

Abstract

In order to solve the problem of massive amount of computation brought by the numerical dynamic response simulation of soil-structure nonlinear interaction (SSI) system, the parallel computing method using SSI load balanced and dual-graph theory based domain decomposition (DD) algorithm is proposed. Combined with traditional greedy and recursive coordinate bisection algorithm, the parallel performance of these four algorithms is researched. The SSI is dealt with symmetric penalty method. The system equation is solved using finite element method (FEM) with explicit central difference scheme. The dynamic responses of typical engineering problems with SSI are simulated in parallel, and the scalability of these four algorithms is analyzed. The results indicate that the SSI load balanced algorithm which substantially balances the coupling loads of soil and structure shows the best parallel efficiency, followed by dual-graph theory based algorithm and recursive coordinate bisection algorithm, and the greedy method get the lowest parallel efficiency; the parallel efficiency decreases with the increasing cores, and the number of cores should be chosen properly according to the scale of the actual model to achieve the optimal parallel performance; the explicit FEM with penalty method is a proper approach for SSI dynamic analysis.

导出引用

王小庆1,2，金先龙1,2，王建炜2. 土体-结构非线性耦合系统动力响应并行计算方法研究[J]. 振动与冲击, 2016, 35(24): 19-26

WANG Xiao-qing1,2,JIN Xian-long1,2,WANG Jian-wei2. Study on parallel computing method for dynamic response analysis of soil-structure nonlinear interaction system[J]. Journal of Vibration and Shock, 2016, 35(24): 19-26

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