未知输入下的复合反演研究
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摘要
回顾了近年来未知输入情况下的结构参数识别算法,并针对未知输入情况下的复合反演算法做了深入研究,总结归纳了这类算法的特点和应用条件,并在此基础上提出了能够用于具有多个未知输入组合下的复合反演算法。此方法是基于最小二乘原则并结合统计平均思想的一类迭代算法,对于在多个未知输入情况下的结构(例如在地震动和风荷载共同作用下等),可以用来识别结构参数并同时反演多个未知输入。与仅适用于具有一个未知输入情况下的复合反演算法相比,本文方法具有更广泛的应用背景,最后以一个4层剪切型结构为例来验证本文方法。有噪声情况下和无噪声情况下的识别结果显示本文方法具有一定适用性。
The development of structural system identification without input information in recent years is reviewed and the characteristics of some proposed algorithms for both input and system identification are summarized.Combined with the features of the Statistical Average Algorithm,a new iterative procedure based on the least-square criterion is put forward for structural multiple inversion.This method can be applied to the situation when multi-loads acting on the structure are unknown.Compared with other approaches for solving only one unknown input,this method has a wider application background.A four story shear building,as the numerical example,is given for verifying this method.The identification results through the noise free measurements and the noise included measurements show the applicability of this method.
The development of structural system identification without input information in recent years is reviewed and the characteristics of some proposed algorithms for both input and system identification are summarized.Combined with the features of the Statistical Average Algorithm,a new iterative procedure based on the least-square criterion is put forward for structural multiple inversion.This method can be applied to the situation when multi-loads acting on the structure are unknown.Compared with other approaches for solving only one unknown input,this method has a wider application background.A four story shear building,as the numerical example,is given for verifying this method.The identification results through the noise free measurements and the noise included measurements show the applicability of this method.
引文
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[2]James G H.Extraction of modal parameter from anoperating HAWT using the natural extraction technique(NExT)[C].13th ASME Wind Energy Symposium,NewOrleans,L,A,1994.
[3]Huang N E,Shen Z,long S R,Wu M C M.The empiricalmodal decomposition and Hilbert spectrum for nonlinearand non-stationary time series analysis[J].Proc.Royal.Society London Series A454,1998.903~995.
[4]续秀忠,华宏星,陈兆能.基于环境激励的模态参数辨识方法综述[J].振动与冲击,2003,23(3):1~5.Xu Xiuzhong,Hua Hongxing,Chen Zhaoneng.Reviewof modal identification method based on ambientexcitation[J].Journal of Vibration and Shock,2003,23(3):1~5.(in Chinese)
[5]KoZin F.Estimation of parameters for system driven bywhite noise excitation[C].Proc of INTAM Symp.onRandom Vibrations and Reliability.Frankfurt Ioder,Germany,Henning Klaus.Ed,1985.163~173.
[6]Benedetti D,Gentile C.Identification of modal quantitiesfrom two earthquake responses[J].EarthquakeEngineering and Structural Dynamics,123(5),1994:504~511.
[7]冯新,周晶,陈健云.一种结构参数识别的两阶段方法[J].计算力学学报,2002,19(2):222~225.Feng Xin,Zhou Jing,Chen Jianyun.A two-stage methodfor identification of structural parameters[J].ChineseJournal of Computational Mechanics,2002,19(2):222~225.(in Chinese)
[8]李杰,陈隽.结构参数未知条件下的地震动反演研究[J].地震工程与工程振动,1997,17(3):27~32.Li Jie,Chen Jun.Inversion of ground motion withunknown structural parameters[J].EarthquakeEngineering and Engineering Vibration,1997,17(3):27~32.(in Chinese)
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[10]Jun-Seong Choi,Jong Seh Lee.Input and systemidentification of the Hualien soil-structure interactionsystem using earthquake response data[J].EarthquakeEngineering and Structural Dynamics,2003,32:1955~1975.
[11]李杰.随机结构系统-分析与建模[M].北京:科学出版社,1996.Li Jie.Stochastic structural system-analysis and modeling[M].Beijing:Science Press,1996.(in Chinese)
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