考虑子结构间相互作用的结构地震反应并行计算方法研究
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摘要
提出一种用于结构地震反应分析的并行计算方法,此方法将被分析的整体结构划分为多个子结构进行并行计算,计算中考虑子结构间的相互作用。此系统中的核心是协调器,用于保证各子结构边界处的变形协调与力平衡。协调器基于柯西-牛顿迭代算法,通过修正边界处的不平衡力与刚度矩阵得到精确的位移数值解。此方法的特点是各子结构完全独立,相互之间只通过标准数据输入与输出接口传递力与位移。以一个包括四个塔楼的复杂结构为例验证了此方法的有效性。该复杂结构被划分为4个子结构进行并行计算,分析结果表明该并行计算方法对于动力弹性时程分析问题可以得到与整体分析一致的解,对于动力弹塑性时程分析问题,当步长足够小的时候,可得到具有足够精度的解。
A novel parallel computing method for structural seismic response analysis is proposed.In the method,the simulated structure is divided into multiple substructures,and the interaction between the substructures is considered.The core of the system is ‘Coordinator’,which is used to achieve compatibility and equilibrium at boundaries.‘Coordinator’ is equipped with an iterative algorithm based on Quasi-Newton iterations.Each substructure is treated as an independent system and only standard I/O i.e.displacements and forces at the boundaries,are used as interfaces.The seismic response of a large structural system having four towers is analyzed using the method,and the effectiveness and accuracy of the system is verified.
A novel parallel computing method for structural seismic response analysis is proposed.In the method,the simulated structure is divided into multiple substructures,and the interaction between the substructures is considered.The core of the system is ‘Coordinator’,which is used to achieve compatibility and equilibrium at boundaries.‘Coordinator’ is equipped with an iterative algorithm based on Quasi-Newton iterations.Each substructure is treated as an independent system and only standard I/O i.e.displacements and forces at the boundaries,are used as interfaces.The seismic response of a large structural system having four towers is analyzed using the method,and the effectiveness and accuracy of the system is verified.
引文
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[15]ABAQUS,Inc,USA.ABAQUS 6.11 Documentation[OL].http://www.abaqus.com,April 7,2011.
[16]Pan P,Tada M,Nakashima M.Online hybrid test byinternet linkage of distributed test-analysis domains[J].Earthquake Engineering&Structural Dynamics,2005,34(11):1407―1425.
[2]李丽君,金先龙,李渊印,李根国.有限元软件结构分析模块的并行开发及应用[J].上海交通大学学报,2004,38(8):1354―1357.Li Lijun,Jin Xianlong,Li Yuanyin,Li Genguo.Paralleldevelopment and application of FEA software structuralanalysis module[J].Journal of Shanghai JiaotongUniversity,2004,38(8):1354―1357.(in Chinese)
[3]雒战平,刘之行.有限元并行计算的MPI程序设计[J].西安交通大学学报,2004,38(8):873―876.Luo Zhanping,Liu Zhixing.MPI programming forparallel computing of finite element method[J].Journalof Xi’an Jiaotong University,2004,38(8):873―876.(inChinese)
[4]王顺绪.微机网络并行环境下杆壳组合结构动力特性并行计算[J].计算力学学报,2005,22(1):38―41,103.Wang Shunxu.Dynamic parallel computing of combinedstructure on micro computer network[J].ChineseJournal of Computational Mechanics,2005,22(1):38―41,103.(in Chinese)
[5]吕恩琳,向世明.杆系结构总刚组装的一种高效并行算法[J].重庆大学学报(自然科学版),1998,21(6):117―120.LüEnlin,Xiang Shiming.An effective parallel algorithmfor structures of beam system[J].Journal of ChongqingUniversity(Natural Science Edition),1998,21(6):117―120.(in Chinese)
[6]唐纪晔,高乾,刘元芳,王希诚.弹塑性结构优化的并行算法[J].计算力学学报,1998,15(4):387―394.Tang Jiye,Gao Qian,Liu Yuanfang,Wang Xicheng.Animproved parallel algorithm of plastic structure[J].Chinese Journal of Computational Mechanics,1998,15(4):387―394.(in Chinese)
[7]刘洪伟,刘永清,邓飞其.分布式随机迭代系统稳定性分析的并行算法[J].华南理工大学学报(自然科学版),1998,26(5):1―5.Liu Hongwei,Liu Yongqing,Deng Feiqi.A parallelalgorithm on distributed iteration system analysis[J].Journal of South China University of Technology(Natural Science),1998,26(5):1―5.(in Chinese)
[8]张健飞.机群环境下的并行边界元法研究及其在水工结构分析中的应用[D].南京:河海大学,2004.Zhang Jianfei.Parallel boundary element method oncluster and its application in hydraulic structure analysis[D].Nanjing:Hohai University,2004.(in Chinese)
[9]Takahashi Y,Fenves G L.Software framework fordistributed experimental-computational simulation ofstructural systems[J].Earthquake Engineering&Structural Dynamics,2006,35(3):267―291.
[10]Kwon O,Elnashai A S,Spencer Jr B F.A framework fordistributed analytical and hybrid simulations[J].Structural Engineering and Mechanics,2008,30(3):331―350.
[11]Pan Peng,Hiroshi Tomofuji,Wang Tao,MasayoshiNakashima,Makoto Ohsaki,Khalid M Mosalam.Development of peer-to-peer(P2P)internet online hybridtest system[J].Earthquake Engineering&StructuralDynamics,2006;35(7):867―890.
[12]Wang T,Yoshitake N,Pan P,Lee T H,Nakashima M.Numerical characteristics of peer-to-peer(P2P)internetonline hybrid test system and its application to seismicsimulation of SRC structure[J].Earthquake Engineering&Structural Dynamics,2008,37(2):265―282.
[13]Wang T,Mosqueda G,Jacobsen A,et al.Performanceevaluation of a distributed hybrid test framework toreproduce the collapse behavior of a structure[J].Earthquake Engineering&Structural Dynamics,2012,41(2):295―313.
[14]Bathe K J.Finite element procedures[M].EnglewoodCliffs:Prentice Hall,1996:759―761.
[15]ABAQUS,Inc,USA.ABAQUS 6.11 Documentation[OL].http://www.abaqus.com,April 7,2011.
[16]Pan P,Tada M,Nakashima M.Online hybrid test byinternet linkage of distributed test-analysis domains[J].Earthquake Engineering&Structural Dynamics,2005,34(11):1407―1425.
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