Abstract

Bridge modal parameters play an important role in bridge engineering; they can serve as useful indices for many applications, such as numerical mode calibration and updating, and bridge structural health monitoring (SHM). Recently, the indirect monitoring of bridges has been increasingly investigated and developed because it avoids the need for instrumentation on all bridges of a network. The natural frequencies of bridges have been extracted from the dynamic response of a vehicle numerically and in laboratory experiments. This study proposes an algorithm to extract the bridge mode shapes and damping ratio using similar indirect measurements enhanced by the Hilbert transform (HT). The theoretical closed-form equations are derived for a vehicle–bridge interaction (VBI) model in which the vehicle is represented as a moving sprung mass passing over a simply supported beam at a constant low speed. Then, a numerical simulation with a quarter-car model is adopted to verify the proposed algorithm, including case studies on the influence of the vehicle speed and road roughness. In addition, a laboratory test is conducted to further investigate the feasibility of the proposed algorithm.

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Acknowledgments

The National Science of Foundation of the United States (grants NSF-CNS-1645863 and NSF-CSR-1813949) sponsored this research. Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the authors and do not necessarily reflect the view of the sponsors.

References

Brady, S., E. Obrien, and A. Žnidarič. 2006. “ Effect of vehicle velocity on the dynamic amplification of a vehicle crossing a simply supported bridge.” J. Bridge Eng. 11 ( 2 ): 241 – 249. https://doi.org/10.1061/(ASCE)1084-0702(2006)11:2(241).
Carden, E. P., and P. Fanning. 2004. “ Vibration based condition monitoring: A review.” Struct. Health Monit. 3 ( 4 ): 355 – 377. https://doi.org/10.1177/1475921704047500.
Cebon, D. 1999. Handbook of vehicle-road interaction. Exton, PA : Swets & Zeitlinger.
Chang, P. C., A. Flatau, and S. Liu. 2003. “ Review paper: Health monitoring of civil infrastructure.” Struct. Health Monit. 2 ( 3 ): 257 – 267. https://doi.org/10.1177/1475921703036169.
Chrysostomou, C. Z., and A. Stassis. 2008. “ Health-monitoring and system-identification of an ancient aqueduct.” Smart Struct. Syst. 4 ( 2 ): 183 – 194. https://doi.org/10.12989/sss.2008.4.2.183.
Deng, L., and C. Cai. 2009. “ Identification of parameters of vehicles moving on bridges.” Eng. Struct. 31 ( 10 ): 2474 – 2485. https://doi.org/10.1016/j.engstruct.2009.06.005.
Deng, L., and C. Cai. 2010. “ Bridge model updating using response surface method and genetic algorithm.” J. Bridge Eng. 15 ( 5 ): 553 – 564. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000092.
Deng, L., W. Yan, and L. Nie. 2019. “ A simple corrosion fatigue design method for bridges considering the coupled corrosion-overloading effect.” Eng. Struct. 178 ( Jan ): 309 – 317. https://doi.org/10.1016/j.engstruct.2018.10.028.
Doebling, S. W., C. R. Farrar, and M. B. Prime. 1998. “ A summary review of vibration-based damage identification methods.” Shock Vib. Dig. 30 ( 2 ): 91 – 105. https://doi.org/10.1177/058310249803000201.
Frýba, L. 2014. Vibration of solids and structures under moving loads. Dordrecht, Netherlands : Springer.
González, A., E. J. Obrien, and P. J. McGetrick. 2012. “ Identification of damping in a bridge using a moving instrumented vehicle.” J. Sound Vib. 331 ( 18 ): 4115 – 4131. https://doi.org/10.1016/j.jsv.2012.04.019.
Grande, E., and M. Imbimbo. 2016. “ A multi-stage approach for damage detection in structural systems based on flexibility.” Mech. Syst. Signal Process. 76–77 ( Aug ): 455 – 475. https://doi.org/10.1016/j.ymssp.2016.01.025.
Hu, H., and J. Tang. 2005. “ A convolution integral method for certain strongly nonlinear oscillators.” J. Sound Vib. 285 ( 4–5 ): 1235 – 1241. https://doi.org/10.1016/j.jsv.2004.11.023.
Huang, N. E. 2014. Hilbert–Huang transform and its applications. Singapore : Word Scientific.
ISO. 1995. Mechanical vibration—Road surface profiles—Reporting of measured data. ISO 8608:1995. Geneva : ISO.
Keenahan, J., E. J. Obrien, P. J. McGetrick, and A. Gonzalez. 2014. “ The use of a dynamic truck–trailer drive-by system to monitor bridge damping.” Struct. Health Monit. 13 ( 2 ): 143 – 157. https://doi.org/10.1177/1475921713513974.
Kim, C. W., R. Isemoto, P. J. McGetrick, M. Kawatani, and E. J. Obrien. 2014. “ Drive-by bridge inspection from three different approaches.” Smart Struct. Syst. 13 ( 5 ): 775 – 796. https://doi.org/10.12989/sss.2014.13.5.775.
Kim, C. W., R. Isemoto, T. Toshinami, M. Kawatani, P. McGetrick, and E. J. Obrien. 2011. “ Experimental investigation of drive-by bridge inspection.” In Proc., 5th Int. Conf. on Structural Health Monitoring of Intelligent Infrastructure (SHMII-5). Mexico City, Mexico : Instituto de Ingenieria, UNAM.
Kim, C. W., M. Kawatani, and K. B. Kim. 2005. “ Three-dimensional dynamic analysis for bridge–vehicle interaction with roadway roughness.” Comput. Struct. 83 ( 19–20 ): 1627 – 1645. https://doi.org/10.1016/j.compstruc.2004.12.004.
Kong, X., C. Cai, and B. Kong. 2016. “ Numerically extracting bridge modal properties from dynamic responses of moving vehicles.” J. Eng. Mech. 142 ( 6 ): 04016025. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001033.
Kong, X., C. Cai, L. Deng, and W. Zhang. 2017. “ Using dynamic responses of moving vehicles to extract bridge modal properties of a field bridge.” J. Bridge Eng. 22 ( 6 ): 04017018. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001038.
Lin, C. W., and Y. B. Yang. 2005. “ Use of a passing vehicle to scan the fundamental bridge frequencies: An experimental verification.” Eng. Struct. 27 ( 13 ): 1865 – 1878. https://doi.org/10.1016/j.engstruct.2005.06.016.
Magalhães, F., A. Cunha, and E. Caetano. 2012. “ Vibration based structural health monitoring of an arch bridge: From automated OMA to damage detection.” Mech. Syst. Signal Process. 28 ( Apr ): 212 – 228. https://doi.org/10.1016/j.ymssp.2011.06.011.
Marulanda, J., J. M. Caicedo, and P. Thomson. 2017. “ Mode shapes identification under harmonic excitation using mobile sensors.” Ing. Compet. 19 ( 1 ): 165 – 173.
Malekjafarian, A., and E. J. Obrien. 2014. “ Identification of bridge mode shapes using Short Time Frequency Domain Decomposition of the responses measured in a passing vehicle.” Eng. Struct. 81 ( Dec ): 386 – 397. https://doi.org/10.1016/j.engstruct.2014.10.007.
Malekjafarian, A., and E. J. Obrien. 2017. “ On the use of a passing vehicle for the estimation of bridge mode shapes.” J. Sound Vib. 397 ( Jun ): 77 – 91. https://doi.org/10.1016/j.jsv.2017.02.051.
McGetrick, P. J., A. González, and E. J. Obrien. 2009. “ Theoretical investigation of the use of a moving vehicle to identify bridge dynamic parameters.” Insight 51 ( 8 ): 433 – 438. https://doi.org/10.1784/insi.2009.51.8.433.
McGetrick, P. J., C. W. Kim, A. González, and E. J. Obrien. 2015. “ Experimental validation of a drive-by stiffness identification method for bridge monitoring.” Struct. Health Monit. 14 ( 4 ): 317 – 331. https://doi.org/10.1177/1475921715578314.
Obrien, E. J., and A. Malekjafarian. 2016. “ A mode shape-based damage detection approach using laser measurement from a vehicle crossing a simply supported bridge.” Struct. Control Health Monit. 23 ( 10 ): 1273 – 1286. https://doi.org/10.1002/stc.1841.
Oshima, Y., K. Yamamoto, and K. Sugiura. 2014. “ Damage assessment of a bridge based on mode shapes estimated by responses of passing vehicles.” Smart Struct. Syst. 13 ( 5 ): 731 – 753. https://doi.org/10.12989/sss.2014.13.5.731.
Tan, C., A. Elhattab, and N. Uddin. 2017. “ Drive-by’’ bridge frequency-based monitoring utilizing wavelet transform.” J. Civ. Struct. Health Monit. 7 ( 5 ): 615 – 625. https://doi.org/10.1007/s13349-017-0246-3.
Tan, C., N. Uddin, and A. Elhattab. 2018. “ Utilizing Hilbert Transform to assess the bridge health condition.” In Proc., ICVRAM ISUMA UNCERTAINTIES Conf. Florianopolis, Brazil : ICVRAM ISUMA UNCERTAINTIES.
Wang, W., L. Deng, and X. Shao. 2016. “ Number of stress cycles for fatigue design of simply-supported steel I-girder bridges considering the dynamic effect of vehicle loading.” Eng. Struct. 110 ( Mar ): 70 – 78. https://doi.org/10.1016/j.engstruct.2015.11.054.
Yang, J. P., and W. C. Lee. 2018. “ Damping effect of a passing vehicle for indirectly measuring bridge frequencies by EMD technique.” Int. J. Struct. Stab. Dyn. 18 ( 1 ): 1850008. https://doi.org/10.1142/S0219455418500086.
Yang, Y. B., and K. C. Chang. 2009. “ Extraction of bridge frequencies from the dynamic response of a passing vehicle enhanced by the EMD technique.” J. Sound Vib. 322 ( 4–5 ): 718 – 739. https://doi.org/10.1016/j.jsv.2008.11.028.
Yang, Y. B., Y. C. Li, and K. C. Chang. 2014. “ Constructing the mode shapes of a bridge from a passing vehicle: A theoretical study.” Smart Struct. Syst. 13 ( 5 ): 797 – 819. https://doi.org/10.12989/sss.2014.13.5.797.
Yang, Y. B., and C. W. Lin. 2005. “ Vehicle–bridge interaction dynamics and potential applications.” J. Sound Vib. 284 ( 1–2 ): 205 – 226. https://doi.org/10.1016/j.jsv.2004.06.032.
Yang, Y. B., C. W. Lin, and J. D. Yau. 2004a. “ Extracting bridge frequencies from the dynamic response of a passing vehicle.” J. Sound Vib. 272 ( 3–5 ): 471 – 493. https://doi.org/10.1016/S0022-460X(03)00378-X.
Yang, Y. B., Z. Yao, and Y. Wu. 2004b. Vehicle-bridge interaction dynamics: With applications to high-speed railways. River Edge, NJ : World Scientific.
Zhang, Y., L. Wang, and Z. Xiang. 2012. “ Damage detection by mode shape squares extracted from a passing vehicle.” J. Sound Vib. 331 ( 2 ): 291 – 307. https://doi.org/10.1016/j.jsv.2011.09.004.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 24Issue 9September 2019

History

Received: Jan 7, 2019
Accepted: May 3, 2019
Published online: Jul 3, 2019
Published in print: Sep 1, 2019
Discussion open until: Dec 3, 2019

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Authors

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Chengjun Tan, S.M.ASCE [email protected]
Graduate Research Assistant and Ph.D. Candidate, Univ. of Alabama at Birmingham, Birmingham, AL 35205 (corresponding author). Email: [email protected]
Nasim Uddin, F.ASCE [email protected]
P.E.
Chief Editor, Dept. of Civil, Construction, and Environmental Engineering, Univ. of Alabama at Birmingham, Birmingham, AL 35205. Email: [email protected]
Professor, School of Architecture, Landscape, and Civil Engineering, Univ. College Dublin, Dublin 4, Ireland. ORCID: https://orcid.org/0000-0002-6867-1009. Email: [email protected]
Professor, School of Planning, Architecture and Civil Engineering, Queen’s Univ. Belfast, Belfast BT9 5AG, UK. ORCID: https://orcid.org/0000-0001-5373-2334. Email: [email protected]
Professor, Dept. of Civil and Earth Resources Engineering, Kyoto Univ., Kyoto 606-8501, Japan. ORCID: https://orcid.org/0000-0002-2727-6037. Email: [email protected]

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