Technical Papers
Apr 5, 2024

Wave Forces on a Submerged Bridge Deck with a Box Girder Situated over a Step Bottom

Publication: Journal of Bridge Engineering
Volume 29, Issue 6

Abstract

During hurricanes or typhoons, wave forces acting on low-lying coastal bridges can cause significant damage to their decks. However, current research has paid little attention to the impact of topography on wave forces. This paper aimed to propose an analytical model based on potential flow theory to analyze the impact of topography on wave forces on bridge decks. The model employs the eigenfunction-matching method to solve the boundary value problem of waves acting on bridge decks over a step bottom. The validity of the model was confirmed by comparing it with published hydrodynamic experiment results. We also examined the effect of the truncation order on wave forces and selected a proper truncation order. The wave forces on the bridge deck located ahead or behind the bottom step were calculated. This study examined the water depth, distance from the bottom step to the bridge deck, and coastal boundary on wave forces. The calculated results indicate that the coastal boundary would significantly influence wave forces on bridge decks, especially for long-period incident waves. The wave forces can be mitigated by an optimized configuration of the wave–structure–topography system. This paper contributes to understanding the impact of topography on wave forces acting on bridge decks during extreme wave conditions and provides insights into optimizing the design of coastal bridges. The proposed analytical model can supply preliminary guidance at the initial stage of bridge design without costly numerical simulations or physical model tests.

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Data Availability Statement

All data, models, and codes generated or used during the study appear in the published article.

Acknowledgments

The financial support from the National Natural Science Foundation of China (52178128) is greatly appreciated by the authors. This work is also partially supported by the Characteristic Innovation Projects of Ordinary University of Guangdong Province (Grant No. 2021KTSCX214) and the State Key Lab of Subtropical Building Science, South China University of Technology (2022ZB18).
Author contributions: Qinghe Fang: Methodology, Data curation, Funding acquisition, Writing—review and editing, Visualization. Hui Wang: Investigation, Writing—original draft, Visualization. Zhongjue Wang: Methodology. Chunhui Liu: Project administration, Supervision.

References

AASHTO. 2008. Guide specifications for bridges vulnerable to coastal storms. Washington, DC: AASHTO.
Bhattacharjee, J., and C. G. Soares. 2011. “Oblique wave interaction with a floating structure near a wall with stepped bottom.” Ocean Eng. 38 (13): 1528–1544. https://doi.org/10.1016/j.oceaneng.2011.07.011.
Bradner, C. 2008. “Large-scale laboratory observations of wave forces on a highway bridge superstructure.” Master’s thesis, Dept. of Civil and Construction Engineering, Oregon State Univ.
Chen, Q., L. X. Wang, and H. H. Zhao. 2009. “Hydrodynamic investigation of coastal bridge collapse during Hurricane Katrina.” J. Hydraul. Eng. 135 (3): 175–186. https://doi.org/10.1061/(ASCE)0733-9429(2009)135:3(175).
Chen, X., J. Zhan, Q. Chen, and D. Cox. 2016. “Numerical modeling of wave forces on movable bridge decks.” J. Bridge Eng. 21 (9): 04016055. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000922.
Chen, Y.-k., D. D. Meringolo, and Y. Liu. 2022. “SPH study of wave force on simplified superstructure of open-type sea access road.” Ocean Eng. 249: 110869. https://doi.org/10.1016/j.oceaneng.2022.110869.
Crowley, R., C. Robeck, and P. Dompe. 2018. “A three-dimensional computational analysis of bridges subjected to monochromatic wave attack.” J. Fluids Struct. 79: 76–93. https://doi.org/10.1016/j.jfluidstructs.2018.02.001.
Cuomo, G., K. Shimosako, and S. Takahashi. 2009. “Wave-in-deck loads on coastal bridges and the role of air.” Coast Eng. 56 (8): 793–809. https://doi.org/10.1016/j.coastaleng.2009.01.005.
Dean, R., and R. Dalrymple. 1991. Water wave mechanics for scientists and engineers. Vol. 2 of Advanced series on ocean engineering. Singapore: World Scientific.
Denson, K. H. 1978. Wave forces on causeway-type coastal bridges. Starkville, MS: Mississippi State Univ.
DesRoches, R. 2006. Hurricane Katrina: Performance of transportation systems. Reston, VA: ASCE Technical Council on Lifeline Earthquake Engineering (TCLEE).
Fang, Q., R. Hong, A. Guo, P. K. Stansby, and H. Li. 2018. “Analysis of hydrodynamic forces acting on submerged decks of coastal bridges under oblique wave action based on potential flow theory.” Ocean Eng. 169: 242–252. https://doi.org/10.1016/j.oceaneng.2018.09.031.
Fang, Q., J. Jia, T. Guo, Z. Wang, and C. Liu. 2023. “Wave forces acting on the coastal bridge deck under focused and regular waves.” Ocean Eng. 276: 114239.
Gao, H., Y. Song, Q. Fang, and S. Li. 2021. “Wave forces on box-girder-type bridge deck located behind trench or breakwater.” Ocean Eng. 237: 109618. https://doi.org/10.1016/j.oceaneng.2021.109618.
Guo, A. X., Q. H. Fang, X. D. Bai, and H. Li. 2015. “Hydrodynamic experiment of the wave force acting on the superstructures of coastal bridges.” J. Bridge Eng. 20 (12): 04015012. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000758.
Huang, B., B. Zhu, S. Cui, L. Duan, and J. Zhang. 2018. “Experimental and numerical modelling of wave forces on coastal bridge superstructures with box girders, Part I: Regular waves.” Ocean Eng. 149: 53–77. https://doi.org/10.1016/j.oceaneng.2017.11.046.
Huang, W. R., and H. Xiao. 2009. “Numerical modeling of dynamic wave force acting on Escambia Bay bridge deck during Hurricane Ivan.” J. Waterw. Port Coastal Ocean Eng. 135 (4): 164–175. https://doi.org/10.1061/(ASCE)0733-950X(2009)135:4(164).
Jin, J., and B. Meng. 2011. “Computation of wave loads on the superstructures of coastal highway bridges.” Ocean Eng. 38 (17–18): 2185–2200. https://doi.org/10.1016/j.oceaneng.2011.09.029.
Marin, J. M. 2010. “Wave loading on bridge superstructures.” Ph.D. thesis, Dept. of Civil and Coastal Engineering, Univ. of Florida.
McIver, P. 1986. “Wave forces on adjacent floating bridges.” Appl. Ocean Res. 8 (2): 67–75. https://doi.org/10.1016/S0141-1187(86)80001-3.
Mcpherson, R. L. 2008. “Hurricane induced wave and surge forces on bridge decks.” Master’s thesis, Dept. of Civil and Environmental Engineering, Texas A&M Univ.
Moideen, R., and M. R. Behera. 2021. “Numerical investigation of extreme wave impact on coastal bridge deck using focused waves.” Ocean Eng. 234: 109227. https://doi.org/10.1016/j.oceaneng.2021.109227.
Moideen, R., M. Ranjan Behera, A. Kamath, and H. Bihs. 2019. “Effect of girder spacing and depth on the solitary wave impact on coastal bridge deck for different airgaps.” J. Mar. Sci. Eng. 7 (5): 140. https://doi.org/10.3390/jmse7050140.
Mondal, R., and K. Takagi. 2019. “Wave scattering by a fixed submerged platform over a step bottom.” Proc. Inst. Mech. Eng., Part M: J. Eng. Marit. Environ. 233 (1): 93–107. https://doi.org/10.1177/1475090217718922.
Schumacher, T., A. W. Hameed, C. Higgins, and B. Erickson. 2021. “Characterization of hydrodynamic properties from free vibration tests of a large-scale bridge model.” J. Fluids Struct. 106: 103368. https://doi.org/10.1016/j.jfluidstructs.2021.103368.
Seiffert, B. R., M. Hayatdavoodi, and R. C. Ertekin. 2015. “Experiments and calculations of cnoidal wave loads on a coastal-bridge deck with girders.” Eur. J. Mech. B. Fluids 52 (5): 191–205. https://doi.org/10.1016/j.euromechflu.2015.03.010.
Song, Y., J. Jia, H. Liu, F. Chen, and Q. Fang. 2023. “Numerical study on tsunami force on coastal bridge decks with superelevation.” J. Mar. Sci. Eng. 11 (4): 824. https://doi.org/10.3390/jmse11040824.
Sun, W., K. Qu, S. Kraatz, B. Deng, and C. Jiang. 2020. “Numerical investigation on performance of submerged porous breakwater to mitigate hydrodynamic loads of coastal bridge deck under solitary wave.” Ocean Eng. 213: 107660. https://doi.org/10.1016/j.oceaneng.2020.107660.
Xiao, H., W. Huang, and Q. Chen. 2010. “Effects of submersion depth on wave uplift force acting on Biloxi Bay Bridge decks during Hurricane Katrina.” Comput. Fluids 39 (8): 1390–1400. https://doi.org/10.1016/j.compfluid.2010.04.009.
Xu, G., C. S. Cai, and Y. Han. 2015. “Investigating the characteristics of the solitary wave induced forces on coastal twin bridge decks.” J. Perform. Constr. Facil. 30 (4): 04015076. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000821.
Xue, S., Y. Xu, G. Xu, J. Wang, and Q. Chen. 2022. “A novel tri-semicircle shaped submerged breakwater for mitigating wave loads on coastal bridges part I: Efficacy.” Ocean Eng. 245: 110462. https://doi.org/10.1016/j.oceaneng.2021.110462.
Yang, W., W. Lai, Q. Zhu, C. Zhang, and F. Li. 2020. “Study on generation mechanism of vertical force peak values on T-girder attacked by tsunami bore.” Ocean Eng. 196: 106782. https://doi.org/10.1016/j.oceaneng.2019.106782.
Yang, Z., B. Huang, B. Zhu, J. Zhang, and A. Kang. 2021. “Comparative study of Tsunami-like wave-induced forces on medium-scale models of box girder and T-girder bridges.” J. Bridge Eng. 26 (2): 04020125. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001671.
Zhang, J., B. Zhu, A. Kang, R. Yin, X. Li, and B. Huang. 2020. “Experimental and numerical investigation of wave-current forces on coastal bridge superstructures with box girders.” Adv. Struct. Eng. 23 (7): 1438–1453. https://doi.org/10.1177/1369433219894238.
Zhu, D., and Dong, Y. (2020). “Experimental and 3D numerical investigation of solitary wave forces on coastal bridges.” Ocean Eng. 209, 107499. https://doi.org/10.1016/j.oceaneng.2020.107499.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 29Issue 6June 2024

History

Received: Jun 22, 2023
Accepted: Jan 6, 2024
Published online: Apr 5, 2024
Published in print: Jun 1, 2024
Discussion open until: Sep 5, 2024

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Qinghe Fang
Research Center for Coastal Structures, School of Ocean Engineering, Harbin Institute of Technology, Weihai, Weihai 264209, China.
Hui Wang
State Key Lab of Subtropical Building Science, South China Univ. of Technology, Guangzhou 510640, China.
Zhongjue Wang
School of Architecture and Engineering, Guangdong Polytechnic of Science and Technology, Zhuhai 430072, China.
Chunhui Liu [email protected]
School of Civil Engineering, Yantai Univ., Yantai 264005, China (corresponding author). Email: [email protected]

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