Numerically Extracting Bridge Modal Properties from Dynamic Responses of Moving Vehicles
Publication: Journal of Engineering Mechanics
Volume 142, Issue 6
Abstract
The dynamic response of moving vehicles on a bridge carries the vibration information of the bridge, which a few researchers have studied to extract the bridge modal properties such as natural frequencies and mode shapes. However, the vehicle response contains not only the frequency characteristics of the bridge and vehicle, but also other information such as the driving-related frequencies and road roughness effects, which makes the extraction difficult. To this end, the present study proposes a method using a specialized test vehicle consisting of a tractor and two following trailers, which can eliminate those effects and more efficiently extract the bridge modal properties. The two trailers towed by the tractor moving along the bridge were used as dynamic response receivers. In order to eliminate the effects previously discussed, the responses of one trailer were subtracted by the responses of the other with a time shift to obtain the residual responses. The residual responses were then processed with the fast Fourier transformation (FFT) and short-time Fourier transformation (STFT) to extract the bridge modal properties. Firstly, a theoretical study was conducted to derive the residual responses of the two trailers in a simplified vehicle-bridge coupled (VBC) system and extract the bridge mode shape squares (MSS) by applying the STFT. Then, numerical studies were conducted to demonstrate and verify the proposed method that is very effective and robust in extracting bridge modal properties, especially under ongoing traffic flows and different road surfaces. Finally, vehicle parameters, such as the trailers’ mass and stiffness, spacing, and traveling speed, were studied to design a proper test vehicle for field applications.
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References
Allemang, R. J. (2003). “The modal assurance criterion- twenty years of use and abuse.” J. Sound Vibr., 37(8), 14–23.
Bu, J. Q., Law, S. S., and Zhu, X. Q. (2006). “Innovative bridge condition assessment from dynamic response of a passing vehicle.” J. Eng. Mech., 1372–1379.
Carden, E. P., and Fanning, P. (2004). “Vibration based condition monitoring: A review.” Struct. Health Monit., 3(4), 355–377.
Curadelli, R. O., Riera, J. D., Ambrosini, D., and Amani, M. G. (2008). “Damage detection by means of structural damping identification.” Eng. Struct., 30(12), 3497–3504.
Deng, L., and Cai, C. S. (2009). “Identification of parameters of vehicles moving on bridges.” Eng. Struct., 31(10), 2474–2485.
Dodds, C. J., and Robson, J. D. (1973). “The description of road surface roughness.” J. Sound Vibr., 31(2), 175–183.
Doebling, S. W., Farrar, C. R., and Prime, M. B. (1998). “A summary review of vibration-based damage identification methods.” Shock Vibr. Digest, 30(2), 91–105.
Fan, W., and Qiao, P. Z. (2011). “Vibration-based damage identification methods: A review and comparative study.” Struct. Health Monit., 10(1), 83–111.
González, A., OBrien, E. J., and McGetrick, P. J. (2012). “Identification of damping in a bridge using a moving instrumented vehicle.” J. Sound Vibr., 331(18), 4115–4131.
Huang, D. Z., and Wang, T. L. (1992). “Impact analysis of cable-stayed bridges.” Comput. Struct., 43(5), 897–908.
ISO. (1995). “Mechanical vibration—Road surface profiles—Reporting of measured data.” Geneva, Switzerland.
Keenahan, J., OBrien, E. J., McGetrick, P. J., and Gonzalez, A. (2014). “The use of a dynamic truck-trailer drive-by system to monitor bridge damping.” Struct. Health Monit., 13(2), 143–157.
Kim, C. W., Isemoto, R., Toshinami, T., Kawatani, M., McGetrick, P. J., and O’Brien, E. J. (2011). “Experimental investigation of drive-by bridge inspection.” 5th Int. Conf. on Structural Health Monitoring of Intelligent Infrastructure (SHMII-5), Instituto de Ingeniería, UNAM, Mexico.
Kong, X., Cai, C. S., and Kong, B. (2013). “Damage detection based on transmissibility of a vehicle and bridge coupled system.” J. Eng. Mech., 04014102.
Lin, C. W., and Yang, Y. B. (2005). “Use of a passing vehicle to scan the fundamental bridge frequencies: An experimental verification.” Eng. Struct., 27(13), 1865–1878.
Lu, Z. R., Huang, M., Chen, W. H., Liu, J. K., and Ni, Y. Q. (2010). “Assessment of local damages in box-girder bridges using measured dynamic responses of passing vehicle.” Prognostics Health Management Conf., IEEE, NJ.
Lu, Z. R., and Liu, J. K. (2011). “Identification of both structural damages in bridge deck and vehicle parameters using measured dynamic response.” Comput. Struct., 89, 13-14, 1397–1405.
Lu, Z. R., Liu, J. K., Huang, M., and Xu, W. H. (2009). “Identification of damages in coupled beam systems from measured dynamic response.” J. Sound Vibr., 326(1-2), 177–189.
McGetrick, P. J., Kim, C. W., and González, A. (2013). “Dynamic axle force and road profile identification using a moving vehicle.” Int. J. Archit. Eng. Constr., 2(1), 1–16.
Miyamoto, A., and Yabe, A. (2011). “Bridge condition assessment based on vibration response of passenger vehicle.” J. Phys., 305(1), 1–10.
Oppenheim, A. V., and Schafer, R. W. (1989). Discrete-time signal processing, Prentice-Hall, Englewood Cliffs, NJ, 447–448.
Rabiner, L. R., and Schafer, R. W. (1978). Digital processing of speech signals, Prentice-Hall, Englewood Cliffs, NJ.
Sohn, H., Farrar, C., Hunter, N., and Worden, K. (2003). “A review of structural health monitoring literature: 1996–2001.”, Los Alamos National Laboratory, Los Alamos, NM.
Yan, Y. J., Cheng, L., Wu, Z. Y., and Yam, L. H. (2007). “Development in vibration-based structural damage detection technique.” Mech. Syst. Signal Process., 21(5), 2198–2211.
Yang, Y. B., and Chang, K. C. (2009a). “Extracting the bridge frequencies indirectly from a passing vehicle: Parametric study.” Eng. Struct., 31(10), 2448–2459.
Yang, Y. B., and Chang, K. C. (2009b). “Extraction of bridge frequencies from the dynamic response of a passing vehicle enhanced by the EMD technique.” J. Sound Vibr., 322(4-5), 718–739.
Yang, Y. B., Chang, K. C., and Li, Y. C. (2013). “Filtering techniques for extracting bridge frequencies from a test vehicle.” Eng. Struct., 48, 353–362.
Yang, Y. B., Li, Y. C., and Chang, K. C. (2012). “Using two connected vehicles to measure the frequencies of bridges with rough surface: A theoretical study.” Acta Mech., 223(8), 1851–1861.
Yang, Y. B., Lin, C. W., and Yau, J. D. (2004). “Extracting bridge frequencies from the dynamic response of a passing vehicle.” J. Sound Vibr., 272(3-5), 471–493.
Zemmour, A. (2006). “The Hilbert-Huang transform for damage detection in plate structures.” Ph.D. thesis, Dept. of Aero Engineering, Univ. of Maryland, College Park, MD.
Zhang, Y., Lie, S. T., and Xiang, Z. H. (2013). “Damage detection method based on operating deflection shape curvature extracted from dynamic response of a passing vehicle.” Mech. Syst. Signal Process., 35(1-2), 238–254.
Zhang, Y., Wang, L. Q., and Xiang, Z. H. (2012). “Damage detection by mode shape squares extracted from a passing vehicle.” J. Sound Vibr., 331(2), 291–307.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 6 • June 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Sep 2, 2014
Accepted: Sep 25, 2015
Published online: Feb 23, 2016
Published in print: Jun 1, 2016
Discussion open until: Jul 23, 2016
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