工程力学 ›› 2019, Vol. 36 ›› Issue (9): 180-187.doi: 10.6052/j.issn.1000-4750.2018.08.0473

• 土木工程学科 • 上一篇    下一篇

未知地震激励下结构恢复力及质量非参数化识别

许斌1,2, 李靖1   

  1. 1. 华侨大学土木工程学院, 福建, 厦门 361021;
    2. 福建省结构工程与防灾重点实验室(华侨大学), 福建, 厦门 361021
  • 收稿日期:2018-08-30 修回日期:2018-12-06 出版日期:2019-09-25 发布日期:2019-04-16
  • 通讯作者: 许斌(1972-),男,湖北人,教授,博士,博导,主要从事非线性动力系统、智能结构与材料研究(E-mail:binxu@hqu.edu.cn). E-mail:binxu@hqu.edu.cn
  • 作者简介:李靖(1995-),男,湖南人,硕士生,主要从事结构损伤与非线性识别研究(E-mail:lij11230413@163.com).
  • 基金资助:
    国家自然科学基金项目(50978092);华侨大学科研基金项目(605-50Y18016)

NONPARAMETRIC IDENTIFICATION FOR STRUCTURAL RESTORING FORCE AND MASS UNDER UNKNOWN EARTHQUAKE EXCITATIONS

XU Bin1,2, LI Jing1   

  1. 1. College of Civil Engineering, Huaqiao University, Xiamen, Fujian 361021, China;
    2. Key Laboratory for Structural Engineering and Disaster Prevention of Fujian Province(Huaqiao University), Xiamen 361021, China
  • Received:2018-08-30 Revised:2018-12-06 Online:2019-09-25 Published:2019-04-16

摘要: 地震作用过程中结构恢复力是描述结构损伤发生发展过程定量描述的基础,更有助于描述结构在地震中破坏模式的演化。该文研究地震激励下结构部分质量及动力响应信息未知时,结构非线性恢复力、质量以及未知加速度时程的非参数化识别方法。首先,根据部分已知动力响应测量和质量信息,识别地震加速度时程。随后,利用记忆衰退全局加权迭代扩展卡尔曼滤波算法,引入幂级数多项式表征结构恢复力,实现了结构质量与非线性恢复力的非参数化识别。将具有非线性恢复力的磁流变阻尼器中引入到一个剪切型多自由度结构构成非线性系统,考虑测量噪声的影响,通过数值模拟验证了在噪声及较大质量初始误差情况下该方法识别结构质量、非线性恢复力及地震动加速度时程的识别效果。

关键词: 非线性恢复力, 地震激励, 质量, 记忆衰退全局迭代扩展卡尔曼滤波, 幂级数多项式, 非参数化识别

Abstract: The nonlinear restoring force (NRF) after earthquakes can be used to directly describe the initiation and development of structural damages and the variation of structural damage pattern. In this study, a nonparametric identification approach for structural nonlinear restoring force, mass and seismic acceleration using partially available measured dynamic responses and partial mass is proposed and is numerically validated with multi-degree-of-freedom (MDOF) structure equipped with nonlinear members. Firstly, the time history of ground motion is identified using dynamic responses measurement and mass information at limited degrees of freedom (DOFs). Secondly, the unknown structural mass and the time history of NRF are identified with an extended Kalman filter with memory fading technique and weighted global iteration method (EKF-MF-WGI) in a nonparametric way, where a power series polynomial (PSP) is employed to model structural NRF. Numerical study with a MDOF nonlinear structure equipped with a Magnetoreheological (MR) damper is carried out considering measurement noises and different initial mass estimation errors. The results show that the structural mass, NRF in time domain and seismic acceleration can be identified effectively by the proposed approach.

Key words: nonlinear restoring force, earthquake excitations, mass, extended Kalman filter with memory fading technique and weighted global iteration method (EKF-MF-WGI), power series polynomial, nonparametric identification

中图分类号: 

  • P315.9
[1] Hoshiya M, Saito E. Structural identification by extended Kalman filter[J]. Journal of Engineering Mechanics, 1984, 110(12):1757-1770.
[2] 王祥建. 土木工程中的物理参数时域识别及地震动反演研究[D]. 哈尔滨:中国地震局工程力学研究所, 2011. Wang Xiangjian. Study on parameter identification of civil engineering in time domain and inversion of ground motion[D] Harbin:Institute of Engineering Mechanics, China Earthquake Administration, 2011. (in Chinese)
[3] Xu B, He J, Rovekamp R, et al. Structural parameters and dynamic loading identification from incomplete measurements:Approach and validation[J]. Mechanical Systems and Signal Processing, 2012, 28:244-257.
[4] He J, Xu B, Masri, S F. Restoring force and dynamic loadings identification for a nonlinear chain-like structure with partially unknown excitations[J]. Nonlinear Dynamics, 2012, 69(1/2):231-245.
[5] Yang J N, Pan S W, Lin S. Least-squares estimation with unknown excitations for damage identification of structures[J]. Journal of Engineering Mechanics, 2007, 133(1):12-21.
[6] Xu B, He J. Substructural parameter and dynamic loading identification with limited observations[J]. Smart Structures and Systems, 2015, 15(1):169-189.
[7] Lei Y, Wu Y, Li T. Identification of non-linear structural parameters under limited input and output measurements[J]. International Journal of Non-Linear Mechanics, 2012, 47(10):1141-1146.
[8] Lei Y, Jiang Y Q, Xu Z Q. Structural damage detection with limited input and output measurement signals[J]. Mechanical Systems and Signal Processing, 2012, 28(5):229-243.
[9] 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. Li Jie, Chen Jun. Inversion of ground motion with unknown structural parameters[J]. Earthquake Engineering and Engineering Vibration. 1997, 17(3):27-35. (in Chinese)
[10] 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. Li Jie, Chen Jun. Study on composite inversion of ground motion and substructural parameter and identification[J]. Journal of Vibration and Shock, 1998, 17(1):58-62. (in Chinese)
[11] 冯新, 周晶, 陈健云. 一种结构参数的两阶段方法[J]. 计算力学学报, 2002, 19(2):222-227. Feng Xin, Zhou Jing, Chen Jianyun. A two-stage method for identification of structural parameter[J]. Chinese Journal of Computational Mechanics, 2002, 19(2):222-227. (in Chinese)
[12] 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(2):20-23. Wang Xiaoyan, Huang Weiping, Li Huajun. Inversion of ground motion and identification of structural parameters by EKF[J]. Engineering Mechanics, 2005, 22(2):20-23. (in Chinese)
[13] Das A K, Haldar A. Health assessment of structural exposed to seismic excitations[J]. Iset Journal of Earthquake Technology, 2011, 48(1):11-27.
[14] 谢献忠, 易伟建. 结构物理参数时域识别的子结构研究方法[J]. 工程力学, 2005, 22(5):94-98. Xie Xianzhong, Yi Weijian. Substructure method for parameter estimation in time domain[J]. Engineering Mechanics, 2005, 22(5):94-98. (in Chinese)
[15] 王祥建, 万鹏, 崔杰. 基于三阶段法的结构损伤识别研究[J]. 世界地震工程, 2015, 31(4):50-57. Wang Xiangjian, Wang Peng, Cui Jie. Structural damage identification based on the three-stage method[J]. World Earthquake Engineering, 2015, 31(4):50-57. (in Chinese)
[16] Masri S F, Caughey T K. A nonparametric identification technique for nonlinear dynamic problems[J]. Journal of Applied Mechanics. 1979, 46(3):433-447.
[17] 许斌, 贺佳. 基于实测时间序列的非线性系统恢复力识别[J]. 中国工程科学, 2011, 13(9):76-82. Xu Bin, He Jia. Nonlinear restoring force identification based on measured time series[J]. Engineering Science, 2011, 13(9):76-82. (in Chinese)
[18] Xu B, He J, Masri S F. Data-based identification of nonlinear restoring force under spatially incomplete excitations with power series polynomial model[J]. Nonlinear Dynamics, 2012, 67(3):2063-2080.
[19] 许斌, 辛璐璐, 贺佳. 基于切比雪夫多项式模型的多自由度结构非线性恢复力时域识别[J]. 工程力学, 2014, 31(11):99-109. Xu Bin, Xin Lulu, He Jia. Time domain nonlinear restoring force identification for MDOF structures with Chebyshev polynomial meodel[J]. Engineering Mechanics, 2014, 31(11):99-109. (in Chinese)
[20] Xu B, He J, Dyke S J. Model free nonlinear restoring force identification for SMA dampers with double Chebyshev polynomials:Approach and Validation[J]. Nonlinear Dynamics, 2015, 82(3):1507-1522.
[21] 何明煜. 部分观测下基于模型或数据的结构非线性的识别方法[D]. 厦门:厦门大学, 2014. He Mingyu. Model based or data based approaches for the identification of structural nonlinearity with limited output measurement[D]. Xiamen:Xiamen University, 2014. (in Chinese)
[22] 许斌, 王云. 利用部分加速度测量的结构滞回特性免模型识别[J]. 工程力学, 2018, 35(2):180-187. Xu Bin, Wang Yun. Model free structural hysteretic behavior identification with limited acceleration measurement[J]. Engineering Mechanics, 2018, 35(2):180-187. (in Chinese)
[23] 周强, 瞿伟廉. 磁流变阻尼器的两种力学模型和试验验证[J]. 地震工程与工程振动, 2002, 22(4):144-150. Zhou Qiang, Qu Weilian. Two mechanic models for magneto-rheological damper and corresponding test verification[J]. Earthquake Engineering and Engineering Vibration, 2002, 22(4):144-150. (in Chinese)
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