Abstract
In this paper, we present a method for simultaneously identifying the vehicular parameters and the structural damage of bridges. By using the dynamic response data of bridge in coupled vibration state and the algorithm for the inverse problem, the vehicle-bridge coupling model is built through combining the motion equations of both vehicle and the bridge based on their interaction force relationship at contact point. Load shape function method and Newmark iterative method are used to solve the vibration response of the coupled system. Penalty function method and regularization method are interchangeable in the process until the error is less than the allowable value. The proposed method is applied on a single-span girders bridge, and the recognition results verify the feasibility, high accuracy and robustness of the method.
Similar content being viewed by others
References
Zhu X Q, Law S S. Time domain identification of moving loads on bridge deck[J]. Journal of Vibration and Acoustics, 2003, 125(2):187–198.
Tao X H, Huang X M. Analysis and calculation of frequency domain simulation of dynamic load[J]. Journal of Huazhong University of Science and Technology (Urban Science Edition), 2003, 20(4): 47–50(Ch).
Bayissa W L, Haritos N, Thelandersson S. Vibration-based structural damage identification using wavelet transform[J]. Mechanical Systems and Signal Processing, 2008, 22(5):1194–1215.
Wang L, Hou J L, Ou J P. Moving force identification based on load shape function for a long-span bridge structure[J]. Chinese Journal of Computational Mechanics, 2012, 29(2): 153–158(Ch).
Wu S Q, Law S S. Statistical moving load identification including uncertainty[J]. Probabilistic Engineering Mechanics, 2012, 29(5):70–78.
Ou J P, Li H. Structural health monitoring mainland China: Review and future trends[J]. Structural Health Monitoring-an International Journal, 2010, 9(3):219–231.
Zhu H P, Yu J, Zhang J B. A summary review and advantages of vibration-based damage identification methods in structural health monitoring[J]. Engineering Mechanics, 2011, 28(2):1–11.
Zhang Q X, Duan Z D, Ukasz J, et al. Experimental validation of a fast dynamic load identification method based on load shape function[J]. Journal of Vibration and Shock, 2011, 30(9):98–102(Ch).
Au F T K, Jiang R J, Cheung Y K. Parameter identification of vehicles moving on continuous bridges[J]. Journal of Sound and Vibration, 2004, 269(1-2):91–111.
Deng L, Cai C S. Identification of parameters of vehicles moving on bridge[J]. Engineering Structure, 2009, 31(10): 2474–2485.
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(4): 244–257.
John E M, Michael L, Michael F. The sensitivity method in finite element model updating: A tutorial[J]. Mechanical Systems and Signal Processing, 2011, 25(7): 2275–2296.
Hernandez E M, Bernal D. Iterative finite element model updating in the time domain[J]. Mechanical Systems and Signal Processing, 2013, 34(1-2): 39–46.
Cattarius J, Inman D J. Time domain analysis in smart structure[J]. Mechanical Systems and Signal Processing, 1997, 11(3): 409–423.
Majumder L, Manohar C S. A time-domain approach for damage detection in beam structures using vibration data with a moving oscillator as an excitation source[J]. Journal of Sound and Vibration, 2003, 268(4): 699–716.
Koh C G, Hong B, Liaw C Y. Parameter identification of large structural systems in time domain[J]. Journal of Structural Engineering, 2000, 126(8):957–963.
Lu Z R, Law S S. Features of dynamic response sensitivity and its application in damage detection[J]. Journal of Sound and Vibration, 2007, 303(1-2):305–329.
Bu J Q, Law S S, Zhu X Q, et al. Vehicle condition surveillance on continuous bridges based on response sensitivity[J]. Journal of Engineering Mechanics, 2006, 132(1): 78–86.
Zhan J W, Xia H, Chen S Y, et al. Damage detection of bridges based on train-induced bridge response and sensitivity analysis[J]. Engineering Mechanics, 2011, 28(11): 38–44(Ch).
Wu S Q, Law S S. Vehicle axle load identification on bridge deck with irregular road surface profile[J]. Engineering Structure, 2010, 33(4):591–601
Yu L, Chan T H T. Recent research on identification of moving loads on bridges[J]. Journal of Sound and Vibration, 2007, 305(3):3–21.
Ding L, Hao H, Zhu X Q. Evaluation of dynamic vehicle axle loads on bridges with different surface condition[J]. Journal of Sound and Vibration, 2009, 323(1):826–848.
Zou Z H, Ren W X. Finite Element Model Updating and Model Validation of Bridge Structures [M]. Beijing: China Communications Press, 2012(Ch).
Wang C, Ren W X, Huang T L. Physical parameter identification of time-varying structure based on discrete wavelet transform[J]. Journal of Central South University (Science and Technology), 2010, 41(2):655–660(Ch).
Li C L, Zhou C C, Li X, et al. A novel model for assessing the pore structure of tight sands and its application[J]. Applied Geophysics, 2010, 7(3): 283–291.
Xu T H, Yang Y X. Condition of regularization solution superior to LS solution based on MSE principle[J]. Geomatics and Information Science of Wuhan University, 2004, 29(3): 223–226(Ch).
Zhang C, Song G Q. Bridge damage identification by finite element model updating with Tikhonov regularization and wavelet denoising[J]. Journal of Vibration Engineering, 2012, 25(1): 97–102(Ch).
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Supported by the National Natural Science Foundation of China (41402271), Guizhou Science and Technology Cooperation Project (LH [2016]7043), and Young Science and Technology Talents Growth Project of Guizhou Provincial Department of Education (KY-[2016]-282)
Biography: ZHANG Xiaozhong, male, Associate professor, Ph. D., research direction: soft matter physics.
Rights and permissions
About this article
Cite this article
Zhang, X., Sun, G., Sun, Y. et al. Simultaneous identification of vehicular parameters and structural damages in bridge. Wuhan Univ. J. Nat. Sci. 23, 84–92 (2018). https://doi.org/10.1007/s11859-018-1298-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11859-018-1298-x
Keywords
- vehicle-bridge coupling model
- vehicular parameters
- structural damage in bridges
- identification method
- simultaneously
- recognition accuracy
- better robustness