A damage identification method of girder bridge based on nodal curvatures and wavelet analysis

PDF(2488 KB)

Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (12) : 108-114.

Zhong Rumian, Zong Zhouhong, Zhen Peijuan, Yang Zegang

Author information +

History +

Abstract

A damage identification method based on nodal curvatures and wavelet analysis (NCWA) is presented with respect to the Xinyihe Bridge. Firstly, the proposed methodology is based on the moment –curvature relations and the assumption that internal stress resultants are invariant before and after damage, combining with the particular advantage in noise eliminating of wavelet analysis, the linear matrix equations of the pre-damage and post-damage nodal curvatures can be solved based on singular value decomposition (SVD), the damage index based on nodal curvature can be obtained; a simply supported beam model testing is used to verify the feasibility of the proposed method Finally, the sensitivity and anti-noise ability of the damage method based on NCWA can be verified by the multi-scale finite element model experiment and dynamic loading test of the Xinyihe Bridge. The results show that the locations of different damage scale can be identified based on NCWA without considering noise effects, and the damage sensitivity of small scale units is superior to the big scale units; considering noise effects, the locations of small damage scale can be identified approximately based on NCWA, the anti-noise ability of small scale units are superior to big scale units. The results support the idea that the proposed damage identification method based on NCWA has a great potential in the health monitoring of practical engineering structures, and it lays a solid foundation for the damage prognosis (DP) and safety prognosis (DP) of girder structures.

Key words

Nodal curvatures / Wavelet analysis / Damage identification / Multi-scale modeling / Structural health monitoring.

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Zhong Rumian, Zong Zhouhong, Zhen Peijuan, Yang Zegang. A damage identification method of girder bridge based on nodal curvatures and wavelet analysis[J]. Journal of Vibration and Shock, 2015, 34(12): 108-114

References

[1] Ou Jinping, Li Hui. Structural health monitoring in main-land China: review and future trends [J]. Structural Health Monitoring, 2010, 9(3): 219-231.
[2] Farrar C R, Worden K. An introduction to structural health monitoring [J]. Philos Trans R Soc, 2007, 365:303-315.
[3] Figueiredo E, Gyuhae P, Farrar C R et al. Machine learning algorithms for damage detection under operational and environmental variability [J]. Structural Health Monitoring, 2011, 10(6): 559-572.
[4] Soyoz S, Feng M Q. Long-term monitoring and identification of bridge structural parameters [J]. Computer-Aided Civil and Infrastructure Engineering, 2009; 24: 82–92.
[5] 宗周红, 牛杰, 王浩. 基于模型确认的结构概率损伤识别方法研究进展 [J]. 土木工程学报, 2012, 45(8): 121-130.
Zong Zhouhong, Niu Jie, Wang Hao. A review of structural damage identification methods based on the finite element model validation [J]. 2012, 45(8): 121-130.
[6] Dincal S, Stubbs N. Nondestructive damage detection in Euler–Bernoulli beams using nodal curvatures—Part I: theory and numerical verification [J]. Structural Control Health Monitoring, 2014, 21: 303 –316.
[7] Sohn H, Farrar C R, Hunter N F et al. Structural health monitoring using statistical pattern recognition techniques [J]. Journal of Structural and Engineering, 2000, 123(11): 1336-1356.
[8] Nair K K, Kiremidjian A S, Law K H. Time series-based damage detection and localization algorithm with application to the ASCE benchmark structures [J]. Journal of Sound and Vibration, 2006, 291(1/2): 349-368.
[9] 丁幼亮, 李爱群, 缪长青. 基于小波包能量谱的结构损伤预警方法研究[J]. 工程力学, 2006, 23(8): 42- 48.
Ding Youling, Li Aiqun, Miao Changqing. Investigation on the structural damage alarming method based on wavelet packet energy spectrum [J]. Engineering Mechanics, 2006, 23(8): 42-48.
[10] Huang N E, Shen Z. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis [J] .Proceedings of the Royal Society of London Series A, 1998, 454:903-995.
[11] Lei Ying, Jiang Yongqiang, Xu Zhiqian. Structural Damage Detection with Limited Input and Output Measurement Signals, Mechanical Systems and Signal Processing, 2012, 28: 229-243.
[12] 韩建刚, 任伟新, 孙增寿. 结构损伤识别的小波包分析试验研究[J]. 振动与冲击，2006, 25(1): 47-57.
Han Jiangang, Ren Weixin, Sun Zengshou. Damage detection and identification of structures in laboratory based on wavelet packet analysis [J], Journal of vibration and shock, 2006, 25(1): 47-57.
[13] Weng J H, Loh C H, Yang J N. Experimental study of damage detection by data-driven subspace identification and finite-element model updating [J]. Journal of Structural Engineering, 2009, 135(12): 1533-1544.
[14] Weber B, Paultre P. Damage identification in a truss tower by regularized model updating [J]. Journal of Structural Engineering, 2010, 136(3): 307-316.
[15] 宗周红，褚福鹏，牛杰. 基于响应面模型修正的桥梁结构损伤识别方法 [J].土木工程学报, 2013, 46(2): 115-122.
Zong Zhouhong, Chu Fupeng, Niu Jie. Damage identification methods of bridge structures using response surface based on finite element model updating [J]. China Civil Engineering Journal, 2013, 46(2):115-122. (in Chinese)
[16] 严平, 李胡生, 葛继平, 叶黔元. 基于模态应变能和小波变换的结构损伤识别研究[J]. 振动与冲击, 2012, 31(1): 121-126.
Yan Ping, Li Husheng, Ge Jiping, Ye Qianyuan. Structural damage identification based on modal strain energy and wavelet transformation [J]. Journal of vibration and shock, 2012, 31(1): 121-126.
[17] Barenblatt G I. Micromechanics of fracture [C]// Theoretical and Applied Mechanics. Amsterdam: Elsevier Science Publishers, 1992: 25-52.
[18] 白以龙.工程结构损伤的两个重要科学问题——分布式损伤和尺度效应 [J], 华南理工大学学报, 2002, 11(30): 11-14.
Bai Yilong. Two important scientific problems in engineering structures—distributed damages and scale effect [J]. Journal of South China University of Technology: Natural Science Edition, 2002, 11(30): 11-14. (in Chinese)
[19] Liu WK, Dong Q, Stefano G, et al. Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multi-resolution continuum [J]. International Journal for Numerical Methods in Engineering, 2010, 83(8/9):1039-1080.
[20] 钟儒勉, 宗周红, 秦中远, 郑沛娟. 基于多尺度模型修正的结合梁斜拉桥损伤识别方法 [J]. 东南大学学报, 2014, 44(2): 1-7.
Zhong Rumian, Zong Zhouhong, Qin Zhongyuan, Zheng Peijuan. Damage identification method of composite cable-stayed bridge based on multi-scale model updating [J]. Journal of Southeast University: Natural Science Edition, 2014, 44(2): 1-7. (in Chinese)