Variability in bridge frequency induced by a parked vehicle
Abstract
The natural frequency of a bridge is an important parameter in many engineering applications such as bridge seismic design and modal-based bridge health monitoring. The natural frequency of a bridge vibrating alone may differ from that vibrating along with a vehicle. Although such vehicle-induced variability in bridge frequency is revealed in several experimental and numerical simulation studies, few attempts have been made on the theoretical descriptions. In this study, both theoretically and experimentally, the variability in the bridge frequency induced by a parked vehicle is verified, and is therefore suggested to be considered in bridge-related engineering, especially for those cases with near vehicle-bridge resonance conditions or with large vehicle-to-bridge mass ratios. Moreover, the variability ranges could be estimated by an analytical formula presented herein.
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A non-stationary excitation primarily affects the stiffness of a system due to amplitude changes in vibrations that cause random fluctuations.
“A non-stationary excitation primarily affects the stiffness of a system due to amplitude changes in vibrations that cause random fluctuations [197].”
From Effects of Environmental and Operational Conditions on Structural Health Monitoring and Non-Destructive Testing: A Systematic Review (2023) · cites this paper as [197]
Cites
A Summary Review of Vibration-Based Damage Identification Methods
Doebling, S. W., Farrar, C. R., & Prime, M. B. (1998) · The Shock and Vibration Digest · doi:10.1177/058310249803000201 · Cited by 2,829 · see citing works
Ce, G. (2020) · Cited by 2,405 · see citing works
Vibration-based Damage Identification Methods: A Review and Comparative Study
Fan, W., & Qiao, P. (2010) · Structural Health Monitoring · doi:10.1177/1475921710365419 · Cited by 2,047 · see citing works
Vibration Based Condition Monitoring: A Review
Carden, E. P., & Fanning, P. (2004) · Structural Health Monitoring · doi:10.1177/1475921704047500 · Cited by 1,549 · see citing works
Effects of environmental and operational variability on structural health monitoring
Sohn, H. (2007) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2006.1935 · Cited by 883 · see citing works
Extracting bridge frequencies from the dynamic response of a passing vehicle
Yang, Y.-B., Lin, C. W., & Yau, J. D. (2004) · Journal of Sound and Vibration · doi:10.1016/s0022-460x(03)00378-x · Cited by 767 · see citing works
Use of a passing vehicle to scan the fundamental bridge frequencies: An experimental verification
Lin, C., & Yang, Y. B. (2005) · Engineering Structures · doi:10.1016/j.engstruct.2005.06.016 · Cited by 429 · see citing works
Saunders, H. (1976) · The Shock and Vibration Digest · doi:10.1177/058310247600800707 · Cited by 218 · see citing works
Kim, J., & Lynch, J. P. (2012) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2011.12.008 · Cited by 110 · see citing works
Macdonald, J. H. G., & Daniell, W. E. (2005) · Engineering Structures · doi:10.1016/j.engstruct.2005.06.007 · Cited by 109 · see citing works
Effect of vehicle weight on natural frequencies of bridges measured from traffic-induced vibration
Kim, C.-Y., Jung, D.-S., Kim, N.-S., Kwon, S.-D., & Feng, M. Q. (2003) · Earthquake Engineering and Engineering Vibration · doi:10.1007/bf02857543 · Cited by 101 · see citing works
Kim, C., & Kawatani, M. (2008) · Structure and Infrastructure Engineering · doi:10.1080/15732470701270082 · Cited by 97 · see citing works
Effect of train dynamics on seismic response of steel monorail bridges under moderate ground motion
Kim, C., & Kawatani, M. (2006) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.580 · Cited by 76 · see citing works
Traffic-induced variability in dynamic properties of cable-stayed bridge
Zhang, Q. W., Fan, L. C., & Yuan, W. C. (2002) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.204 · Cited by 73 · see citing works
Dynamic behaviour of concrete structures Report of the RILEM 65-MDB Committee
Tilly, G. P. (1986) · Materials and Structures · doi:10.1007/bf02472155 · Cited by 15 · see citing works
Frequency Shift Curve Based Damage Detection Method for Beam Structures
Zhang, Y., & Xiang, Z. (2011) · doi:10.3970/cmc.2011.026.019 · Cited by 13 · see citing works
Traffic-induced shifts in modal properties of bridges
Roeck, G. D., Maeck, J., Michielsen, T., & Seynaeve, E. (2002) · Cited by 12 · see citing works
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Shokravi, H., Shokravi, H., Bakhary, N., Heidarrezaei, M., Koloor, S. S. R., & Petrů, M. (2020) · Sensors · doi:10.3390/s20123460 · Cited by 102 · see citing works
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Li, J., Guo, J. W., & Zhu, X. (2020) · International Journal of Structural Stability and Dynamics · doi:10.1142/s0219455421500462 · Cited by 39 · see citing works
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Tan, C., Zhao, H., OBrien, E. J., Uddin, N., & Kim, C. (2023) · Journal of Bridge Engineering · doi:10.1061/jbenf2.beeng-5979 · Cited by 32 · see citing works
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Cao, L., He, W.-Y., & Ren, W. (2021) · Structures · doi:10.1016/j.istruc.2021.01.098 · Cited by 29 · see citing works
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Stoura, C. D., & Dimitrakopoulos, E. G. (2020) · Acta Mechanica · doi:10.1007/s00707-020-02699-3 · Cited by 27 · see citing works
Sadeghi, J., & Esmaeili, M. H. (2018) · Latin American Journal of Solids and Structures · doi:10.1590/1679-78255252 · Cited by 25 · see citing works
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He, W.-Y., Ren, W., Cao, L., & Wang, Q. (2021) · International Journal of Structural Stability and Dynamics · doi:10.1142/s0219455421501285 · Cited by 16 · see citing works
Tian, Y., Wang, L., & Zhang, J. (2020) · Structural Control and Health Monitoring · doi:10.1002/stc.2631 · Cited by 16 · see citing works
Li, J., Guo, J. W., Zhu, X., & Yu, Y. (2022) · Journal of Civil Structural Health Monitoring · doi:10.1007/s13349-022-00592-2 · Cited by 14 · see citing works
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Lee, J., Song, S. H., Kim, R. E., & Lee, J.-H. (2024) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2024.118655 · Cited by 8 · see citing works
Qin, L.-F., Ren, W., & Yan, W. (2024) · Structural Control and Health Monitoring · doi:10.1155/2024/4695910 · Cited by 6 · see citing works
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Cantero, D., & Rønnquist, A. N. (2017) · Procedia Engineering · doi:10.1016/j.proeng.2017.09.345 · Cited by 6 · see citing works
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Locke, W. R., Redmond, L., & Schmid, M. (2021) · Conference proceedings of the Society for Experimental Mechanics · doi:10.1007/978-3-030-77143-0_12 · Cited by 6 · see citing works
Wu, Q., Han, B., Yu, J., Yan, W., Zhang, J., & Xie, H. (2022) · Applied Sciences · doi:10.3390/app12052422 · Cited by 6 · see citing works
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Elhattab, A. (2017) · Civil Engineering Research Journal · doi:10.19080/cerj.2017.01.555555 · Cited by 5 · see citing works
Yang, Y. B., Shi, L.-K., Xu, H., Liu, Y. Z., Mo, X. Q., & Zhang, B. (2025) · Thin-Walled Structures · doi:10.1016/j.tws.2025.113847 · Cited by 3 · see citing works
Tian, Y., Zhang, J., & Cai, D. (2022) · Journal of Engineering Mechanics · doi:10.1061/(asce)em.1943-7889.0002175 · Cited by 3 · see citing works
Shi, L.-K., Xu, H., Yang, D. S., Chen, X. G., Liu, Y., & Yang, Y. B. (2026) · Structural Control and Health Monitoring · doi:10.1155/stc/9617362 · Cited by 2 · see citing works
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Yao, Z., Liu, Z., & Zhong, Z. (2025) · Buildings · doi:10.3390/buildings15132333 · Cited by 2 · see citing works
Chang, K. C., & Kim, C. (2013) · Key engineering materials · doi:10.4028/www.scientific.net/kem.569-570.167 · Cited by 2 · see citing works
Song, X., Yu, W., Cai, C. S. S., Luo, W., Deng, P., & Wu, L. (2025) · Smart Materials and Structures · doi:10.1088/1361-665x/ade2c5 · Cited by 1 · see citing works
Lee, J., & Kim, R. E. (2023) · SSRN Electronic Journal · doi:10.2139/ssrn.4620616 · Cited by 1 · see citing works
Wang, F. (2016) · International Conference on Social Science and Technology Education (ICSSTE) · doi:10.2991/icsste-16.2016.133
Yang, Y.-B., Yang, J. P., Zhang, B., & Wu, Y. (2019) · doi:10.1002/9781119539629.refs
Hong, X.-Z., Chang, C., & Chang, K. C. (2026) · Engineering Structures · doi:10.1016/j.engstruct.2026.124034
- Authors
- Chang, K. C., Kim, C. W., & Borjigin, S.
- Affiliations
- Kyoto University (JP)
- ORCID
- Chang, K.C.
- Venue
- Smart Structures and Systems
- Publisher
- Techno-Press
- Published
- 2014-05-25
- Volume
- 13
- Issue
- 5
- Pages
- 755-773
- ISSN
- 1738-1584 (ISSN-L)
- OpenAlex
- W2110198202
- Cited by
- 60
- References
- 17
- Citations by year
- 2026: 3 · 2025: 4 · 2024: 6 · 2023: 8 · 2022: 9 · 2021: 6 · 2020: 6 · 2019: 2 · 2018: 4 · 2017: 5 · 2016: 4 · 2015: 2 · 2013: 1
- FWCI
- 7.03
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Smart Structures and Systems (publishedVersion)
- Topics
- Physical Sciences › Engineering › Civil and Structural Engineering › Structural Health Monitoring Techniques
- Physical Sciences › Engineering › Civil and Structural Engineering › Structural Engineering and Vibration Analysis
- Physical Sciences › Engineering › Control and Systems Engineering › Vibration and Dynamic Analysis
- Keywords
- bridge natural frequency, parked cars, vehicle-bridge interaction, bridge health monitoring, bridge seismic design
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