This paper attempts to identify both local damages in bridge deck and the parameters of the moving vehicles from the dynamic responses induced by vehicles moving on top of the bridge deck. The local damage is simulated by a reduction in the elemental flexural rigidity of the beam. In the forward analysis, the coupled bridge-vehicle systems are established using the finite element analysis and the dynamic responses of the system are obtained from Newmark direct integration method. In the inverse analysis, a dynamic response sensitivity-based finite element model updating approach is used to identify both local damages of the bridge deck in the element level and the parameters of the vehicles. The solution is obtained iteratively with the penalty function method with regularization from the measured structural dynamic responses. A multi-span continuous beam is studied as numerical example to illustrate the correctness and efficiency of the proposed method. The effects measurement noise, and measurement time duration on the identification results are investigated. Studies in this paper indicate that the proposed method is efficient and robust for both damage identification and vehicular parameter identification. Good identified results can be obtained from the time histories of several measurement points.
CHunli ZHANG1 ZHongrong LV2 .
Simultaneous identification of damage and vehicular parameters based on dynamic response sensitivity analysis[J]. Journal of Vibration and Shock, 2016, 35(9): 168-171
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参考文献
1. Cawley P , Adams R D. The location of defects in structures from measurements of natural frequencies[J]. Journal of Strain Analysis, 1979, 14(2): 49-57.
2. Shi Z Y, Law S S, Zhang L M. Damage localization by directly using incomplete mode shapes[J]. Journal of Engineering Mechanics, 2000, 126(6): 656-660.
3. Pandy A K , Biswas M. Damage detection in structures using changes in flexibility[J]. Journal of Sound and Vibration, 1994, 169(1): 3-17.
4. Wahab M M A, Roeck G D. Damage detection in bridges using modal curvatures: application to real damage scenario[J]. Journal of Sound and Vibration, 1999, 226(2): 217-235.
5. Shi Z Y, Law S S, Zhang L M. Structural Damage Localization from Modal Strain Energy Change[J]. Journal of Sound and Vibration, 1998, 218(5): 825-844.
6. Liu X, Lieven N A J, Escamilla-Ambrosio P J. Frequency response function shape-based methods for structural damage localization[J]. Mechanical Systems and Signal Processing, 2009, 23(4): 1243-1259.
7. Cattarius J, Inman D J. Time domain analysis for damage detection in smart structures[J]. Mechanical Systems and Signal Processing, 1997, 11(3): 409-423.
8. 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.
9. 孙宗光, 高赞明, 倪一清. 基于神经网络的桥梁损伤位置识别 [J]. 工程力学, 2004, 21(1): 43-47.
Sun Z G, Ko J M, Ni Y Q. Identification of damage location in bridge deck by Neural Network[J]. Engineering Mechanics, 2004, 21(1): 43-47
10. 冯柯, 崔永固, 李静, 等. 基于模糊逻辑和遗传算法的工程机械故障诊断[J]. 解放军理工学院学报(自然科学版). 2005, 8(4): 385-389.
Feng K, Cui Y G , Li J, et al. Fault diagnosis based on fuzzy logic and genetic algorithms of engineering machine[J]. Journal of PLA University of Science and Technology. 2005, 8(4): 385-389.
11. Law S S, Li X Y, Lu Z R. Structural damage detection from wavelet coefficient sensitivity with model errors [J]. Journal of Engineering Mechanics, 2006, 132(10):1077-1087.
12. Law S S, Wu S Q. Evaluating the response statistics of an uncertain bridge-vehicle system [J]. Mechanical Systems and Signal Processing. 2012, 27: 576-589.
13. 王文洁, 吕中荣, 刘济科. 含呼吸裂缝的桥梁振动响应与时频特性分析[J]. 振动与冲击, 2013, 32(11): 12-16.
Wang W, Lu Z R, Liu J K. Dynamic response and time-frequency feature analysis for a bridge with breathing cracks[J]. Journal of Vibration and Shock, 2013, 32(11): 12-16.
14. Jaksic V, Connor A O', Pakrashi V. Damage detection and calibration from beam-moving oscillator interaction employing surface roughness[J]. Journal of Sound and Vibration, 2014, 333(17): 3917-3930.
15. 陈代海; 陈淮; 李整; 等. 形函数时变性对汽车公路梁桥竖向耦合振动影响分析. [J]. 振动与冲击, 2014, 33(14): 20-24.
Chen D H, Chen H, Li Z, et al. Effect of time variability of element interpolation function on vehicle-bridge vertical coupling vibration of highway beam bridges[J]. Journal of Vibration and Shock, 2014, 33(14): 20-24.
16. Zhong H, Yang M J, Gao Z L. Dynamic responses of prestressed bridge and vehicle through bridge-vehicle interaction analysis[J]. Engineering Structures, 2015, 87: 116-125.
17. Tikhonov A M. On the solution of ill-posed problems and the method of regularization [J]. Soviet Mathematics, 1963, 4:1035-1038.
18. Hansen P C. Analysis of discrete ill-posed problems by means of the L-curve. SIAM Rev 1992; 34: 561–580.
19. Hansen P C. Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion. SIAM, Philadelphia, PA; 1998.