有限测点下结构参数与基底激励的同步反演

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英文篇名：Simultaneous identification of structural parameters and support excitation from responses on limited degrees of freedom 中文刊名：振动工程学报 英文刊名：Journal of Vibration Engineering 作者：张坤 ; 罗绍湘 ; 段忠东 英文作者：ZHANG Kun1 ; LAW Siu-seong2 ; DUAN Zhong-dong1 ; 2(1.School of Civil Engineering ; Harbin Institute of Technology ; Harbin 150090 ; China ; 2.Civil and Structural EngineeringDepartment ; Hong Kong Polytechnic University ; Hunghom ; Kowloon ; Hong Kong) 中文关键词：系统识别 ; 结构参数 ; 基底激励 ; 动态响应灵敏度 ; 加权 英文关键词：system identification ; structural parameters ; support excitation ; sensitivity of dynamic response ; weight 出版日期：2010-02-15 机构：哈尔滨工业大学土木工程学院;香港理工大学土木及结构工程系; 年：2010 期：01 出版单位：振动工程学报

摘要

提出一种利用结构在未知基底激励作用下,少数测点上的动态响应同步反演结构物理参数与基底激励的算法。首先,利用正交多项式展开结构基底激励,推导结构动态响应对结构物理参数和正交系数的灵敏度公式,并通过引入权值,克服由于不同待识别参数之间灵敏度向量的数量级差别较大而引起的灵敏度矩阵病态问题;然后,构造同步反演结构物理参数与基底激励的识别方程,并采用阻尼最小二乘法通过迭代计算求得方程最优解,完成结构物理参数与基底激励的同步反演;最后,采用一个12层的高层框架结构验证了算法的有效性。研究结果表明,该算法可利用少数测点响应同步精确反演结构的物理参数与未知基底激励。
A new method is proposed to simultaneously identify structural physical parameters and support excitation from several structural dynamic responses under unknown support excitation.The support excitation on structures is represented by using orthogonal polynomial approximation,and the sensitivity of structural dynamic response with respect to structural physical parameters and orthogonal coefficients is derived.Weighted functions are adopted to overcome the ill condition of sensitivity matrix caused by the different magnitude scales of sensitivity vectors for different identified parameters.The identification equation is set up and is solved with the damped least-squares method in an iterative process to simultaneously identify structural parameters and support excitation.A twelve-story frame is taken as an example for validating the proposed method.Research results show that the proposed method can accurately identify structural physical parameters and unknown support excitation from only several responses of structures.

引文

[1]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—35.
    [2]陈健云,王建有,黄景忠.参数完全不确定系统在未知输入下的损伤识别[J].防灾减灾工程学报,2007,27(3):335—338.
    [3]王建有,陈健云,李宗坤,等.输入未知下非比例阻尼结构参数识别方法的研究[J].振动与冲击,2007,26(4):119—122,125.
    [4]Zhao X,Xu Y L,Li J,et al.Hybrid identificationmethod for multi-story buildings with unknownground motion:theory[J].Journal of Sound and Vi-bration,2006,291:215—239.
    [5]李杰,陈隽.子结构物理参数识别与输入地震动的复合反演研究[J].振动与冲击,1998,17(1):58—62,97.
    [6]冯新,周晶,陈健云.一种结构参数识别的二阶段法[J].计算力学学报,2002,19(2):222—225.
    [7]Lu Z R,Law S S.Identification of system parametersand input force from output only[J].Mechanical Sys-tems and Signal Processing,2007,21:2 099—2 111.
    [8]Tikhonov A M.On the solution of ill-posed problemsand the method of regularization[J].Soviet Mathe-matics,1963,4:1 035—1 038.
    [9]Hansen P C.Analysis of discrete ill-posed problemsby means of the L-curve[J].SIAM Review,1992,34(4):561—580.
    [10]李杰,陈隽.未知输入条件下的结构物理参数识别研究[J].计算力学学报,1999,16(1):32—40,114.