基于经验遗传-单纯形算法和结构物理响应识别结构物理参数的方法
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摘要
对于复杂的大自由度系统的反演分析,遗传算法每步计算中包含大量的正演分析,成为限制遗传算法运行速度的瓶颈.减少反演分析中的正演计算次数,是扩大遗传算法适用范围的有效途径.经验遗传-单纯形算法正是解决这一问题的有效方法.将该方法应用于时间域实测结构部分的物理响应来识别结构物理参数.结果表明,该方法精度高、搜索效率高、抗噪能力强、对不完全信息情况有很好的适应性.
In the complex conversion analysis for multi-degrees of freedom,there are large calculation counts in every calculation step of Genetic Algorithm which limit the running speed of genetic algorithm.So to reduce the positive calculation counts is an effective method to enlarge the range of GA's application.Empirical Genetic-simplex Algorithm is one of the effective methods to solve the problem.In this paper,Empirical Genetic-Simplex Algorithm is applied to structural physical parameters identification based on the dynamic response conditions and incomplete modal parameters.The result shown that Empirical Genetic-Simplex Algorithm has advantages of precision,efficiency in searching,of being strong to resist the noise,and it is good adapting to the incomplete information.
In the complex conversion analysis for multi-degrees of freedom,there are large calculation counts in every calculation step of Genetic Algorithm which limit the running speed of genetic algorithm.So to reduce the positive calculation counts is an effective method to enlarge the range of GA's application.Empirical Genetic-simplex Algorithm is one of the effective methods to solve the problem.In this paper,Empirical Genetic-Simplex Algorithm is applied to structural physical parameters identification based on the dynamic response conditions and incomplete modal parameters.The result shown that Empirical Genetic-Simplex Algorithm has advantages of precision,efficiency in searching,of being strong to resist the noise,and it is good adapting to the incomplete information.
引文
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[11]DU Xiu-li,ZENG Di.Structural physical parameter identification based on evolutionary-simplex algorithm and structuraldynamic response[J].Earthquake Engineering and Engineering Vibration,2003,2(2):225-236.
[12]杜修力,韩玲,姜丽萍.高效寻优的经验遗传算法[J].北京工业大学学报,2006,32(11):992-995.DU Xiu-li,HAN Ling,JIANG Li-ping.An efficient global optimization algorithm:empirical genetic algorithm[J].Journalof Beijing University of Technology,2006,32(11):992-995.(in Chinese)
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[14]姜丽萍,杜修力.基于经验遗传-单纯形算法和结构模态参数识别结构物理参数的方法[J].地震工程与工程振动,2007,27(4):1-6.JIANG Li-ping,DU Xiu-li.Structural physical parameter identification based on empirical genetic algorithm and structuralmodel parameter[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(4):1-6.(in Chinese)
[15]KOH C G,HONG B,LIAW C Y.Parameter identification of large structural systems in time domain[J].StructuralEngineering,2000,126(8):957-963.
[16]刘丰年,李宏男,刘明.一种有效的结构动态参数识别方法[J].地震工程与工程振动,1998,18(1):31-34.LIU Feng-nian,LI Hong-nan,LIU Ming.Identifying dynamic parameters of structures using optimum method[J].Journalof Earthquake Engineering and Engineering Vibration,1998,18(1):31-34.(in Chinese)
[2]董清华,黄义.基于神经网络和滤波技术的贮仓结构参数识别[J].世界地震工程,2005,21(3):116-121.DONG Qing-hua,HUANG Yi.Parameter identificaiton of silo using neural netowrk and Kamal filter algorithms[J].WorldInformation on Earthquake Engineering,2005,21(3):116-121.(in Chinese)
[3]王建有,陈健云.基于复模态的非比例阻尼结构参数识别研究[J].哈尔滨工业大学学报,2005,37(12):1647-1649.WANG Jian-you,CHEN Jian-yun.Study on parameters identification of non-proportional damping based on complex modes[J].Journal of Harbin Institute of Technology,2005,37(12):1647-1649.(in Chinese)
[4]陈健云,王建有.部分输入未知条件下结构参数识别法研究[J].计算力学学报,2005,22(2):149-154.CHEN Jian-yun,WANG Jian-you.Study on identification method for structural parameter with incomplete input information[J].Chinese Journal of Computational Mechanics,2005,22(2):149-154.(in Chinese)
[5]王晓燕,黄维平,李华军.地震动反演及结构参数识别的EKF算法[J].工程力学,2005,22(4):20-23.WANG Xiao-yan,HUANG Wei-ping,LI Hua-jun.Inversion of ground motion and identification of structural parameters byEYF[J].Engineering Mechanics,2005,22(4):20-23.(in Chinese)
[6]CARAVANI P,WATSON M L,THOMSON W T.Recursive least-squares time domain identification of structuralparameters[J].Appl.Mech.,1977,44:135-144.
[7]CARMICHACL D G.The state estimation problem in experimental structural mechanics[C]∥Proc.,3rd Int.Conf.onApplication of Statistics and Probability in Soil and Struct.Engrg.Sydney:Australia,1979:802-815.
[8]DUAN W,ACHINTYA H.System identification with limited observations and without input[J].Engineering Mechanics,1997,123(5):504-511.
[9]杜修力,曾迪.基于演化-单纯形算法和结构模态参数反演结构物理参数的方法[J].北京工业大学学报,2004,30(2):166-170.DU Xiu-li,ZENG Di.Structural physical parameter identification based on evolutionary-simplex algorithm and structuralmodel parameter[J].Journal of Beijing University of Technology,2004,30(2):166-70.(in Chinese)
[10]杜修力,曾迪.一种高效的全局数值优化方法:演化-单纯形算法[J].土木工程学报,2003,36(5):46-51.DU Xiu-li,ZENG Di.An effective algorithm for global optimization:evolutionary-simplex algorithm[J].China CivilEngineering Journal,2003,36(5):46-51.(in Chinese)
[11]DU Xiu-li,ZENG Di.Structural physical parameter identification based on evolutionary-simplex algorithm and structuraldynamic response[J].Earthquake Engineering and Engineering Vibration,2003,2(2):225-236.
[12]杜修力,韩玲,姜丽萍.高效寻优的经验遗传算法[J].北京工业大学学报,2006,32(11):992-995.DU Xiu-li,HAN Ling,JIANG Li-ping.An efficient global optimization algorithm:empirical genetic algorithm[J].Journalof Beijing University of Technology,2006,32(11):992-995.(in Chinese)
[13]姜丽萍.经验遗传—单纯形算法及其在结构损伤识别中的应用[D].北京:北京工业大学建筑工程学院,2006.JIANG Li-ping.Empirical genetic-simplex algorithm and its application in structure damage detection[D].Beijing:Collegeof Architecture and Civil Engineering,Beijing University of Technology,2006.(in Chinese)
[14]姜丽萍,杜修力.基于经验遗传-单纯形算法和结构模态参数识别结构物理参数的方法[J].地震工程与工程振动,2007,27(4):1-6.JIANG Li-ping,DU Xiu-li.Structural physical parameter identification based on empirical genetic algorithm and structuralmodel parameter[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(4):1-6.(in Chinese)
[15]KOH C G,HONG B,LIAW C Y.Parameter identification of large structural systems in time domain[J].StructuralEngineering,2000,126(8):957-963.
[16]刘丰年,李宏男,刘明.一种有效的结构动态参数识别方法[J].地震工程与工程振动,1998,18(1):31-34.LIU Feng-nian,LI Hong-nan,LIU Ming.Identifying dynamic parameters of structures using optimum method[J].Journalof Earthquake Engineering and Engineering Vibration,1998,18(1):31-34.(in Chinese)
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