Abstract

In this paper, the solitary wave forces on coastal bridge superstructures with box girders are discussed numerically. Although there are some empirical equations for wave forces on typical bridge superstructures, no relation has yet been proposed for predicting the tsunami-induced forces on box girder superstructures due to the lack of knowledge of wave forces on these kinds of superstructures. In this study, first, a solitary wave model was utilized to represent the tsunami. Then, the Reynolds-averaged Navier-Stokes equations combined with the shear stress transport (SST) k-ω turbulence model were utilized for the wave simulations. Additionally, the horizontal and vertical forces on the bridge superstructures were simulated, taking into account four water depths and five wave heights for each bridge elevation. The effectiveness of the numerical model was proven by a comparison with the experimental measurements. The numerical results showed that the difference in wave forces acting on T-type girders and box girders was significant. Finally, an improved empirical equation was proposed for estimating the tsunami-induced forces on box girder bridges.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors are grateful for the support from the National Natural Science Foundation of China (Grants 51178397, 51708456, and 51805057), the Major Applied Basic Research Frontier Projects in Sichuan Province (Grant 2017JY0003), the Scholarship from the Southwest Jiaotong University (SWJTU) Scholarship Council, and the China Scholarship Council for funding the first author’s study at Rice University.

References

AASHTO. 2008. Guide specifications for bridges vulnerable to coastal storms. Washington, DC: AASHTO.
Araki, S., I. Deguchi, and S. Itoh. 2008. “Experimental study on fluid force on bridge beam due to tsunami.” In Proc., 18th Int. Offshore and Polar Engineering Conf., 586–591. Mountain View, CA: International Society of Offshore and Polar Engineers.
Bozorgnia, M., J. J. Lee, and F. Raichlen. 2010. “Wave structure interaction: Role of entrapped air on wave impact and uplift forces.” In Proc., 32nd Conf. on Coastal Engineering. Shanghai: International Conference on Coastal Engineering.
Bradner, C. 2008. “Large-scale laboratory observations of wave forces on a highway bridge superstructure.” M.S. thesis, Dept. of Civil and Construction Engineering, Oregon State Univ.
Bradner, C., T. Schumacher, D. Cox, and C. Higgins. 2011. “Experimental setup for a large-scale bridge superstructure model subjected to waves.” J. Waterway, Port, Coastal, Ocean Eng. 137 (1): 3–11. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000059.
Bricker, J. D., and A. Nakayama. 2014. “Contribution of trapped air, deck superelevation, and nearby structures to bridge deck failure during a tsunami.” J. Hydraul. Eng. 140 (5): 05014002. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000855.
Cai, Y., A. Agrawal, K. Qu, and H. S. Tang. 2018. “Numerical investigation of connection forces of a coastal bridge deck impacted by solitary waves.” J. Bridge Eng. 23 (1): 04017108. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001135.
Chen, Q., L. Wang, and 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).
Cuomo, G., K. Shimosako, and S. Takahashi. 2009. “Wave-in-deck loads on coastal bridges and the role of air.” Coastal Eng. 56 (8): 793–809. https://doi.org/10.1016/j.coastaleng.2009.01.005.
Cuomo, G., M. Tirindelli, and N. W. H. Allsop. 2007. “Wave-in-deck loads on exposed jetties.” Coastal Eng. 54 (9): 657–679. https://doi.org/10.1016/j.coastaleng.2007.01.010.
Douglass, S. L., Q. Chen, J. Olsen, B. Edge, and D. Brown. 2006. Wave forces on bridge decks. Final Rep. for US Dept. of Transportation. Washington, DC: Federal Highway Administration, Office of Bridge Technology, US Dept. of Transportation.
Douglass, S. L., and J. Krolak. 2008. Highways in the coastal environment. Publication No. FHWA-NHI-07-096. Washington, DC: Office of Bridge Technology, Federal Highway Administration.
FHWA (Federal Highway Administration) .2008. Highways in the coastal environment. FHWA-NHI-07-096. Washington, DC: FHWA.
French, J. 1969. Wave uplift pressures on horizontal platforms. Pasadena, CA: California Institute of Technology.
Ghobarah, A., M. Saatcioglu, and I. Nistor. 2006. “The impact of the 26 December 2004 earthquake and tsunami on structures and infrastructure.” Eng. Struct. 28 (2): 312–326. https://doi.org/10.1016/j.engstruct.2005.09.028.
Graumann, A., T. Houston, J. Lawrimore, D. Levinson, N. Lott, S. McCown, S. Stephens, and D. Wuerts. 2005. Hurricane Katrina: A climatological perspective—Preliminary report. Technical Rep. No. 2005-01. Washington, DC: National Oceanic and Atmospheric Administration National Climate Data Center.
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.
Hayashi, H. 2013. “Study on tsunami wave force acting on a bridge superstructure.” In Proc., 29th US-Japan Bridge Engineering Workshop. Tsukuba, Japan: Task Committee G (Transportation Systems).
Hayatdavoodi, M., and R. C. Ertekin. 2012. “Nonlinear forces on a submerged, horizontal plate: The GN theory.” In Proc., 27th Int. Workshop on Water Waves and Floating Bodies (IWWWFB27). Copenhagen, Denmark: IWWWFB.
Hayatdavoodi, M., and R. C. Ertekin. 2014. “A comparative study of nonlinear shallow-water wave loads on a submerged horizontal box.” In Proc., 33rd Int. Conf. on Ocean Offshore and Arctic Engineering OMAE 14. New York: ASME.
Hayatdavoodi, M., and R. C. Ertekin. 2015. “Wave forces on a submerged horizontal plate. Part II: Solitary and cnoidal waves.” J. Fluids Struct. 54 (Apr): 580–596. https://doi.org/10.1016/j.jfluidstructs.2014.12.009.
Hayatdavoodi, M., B. Seiffert, and R. C. Ertekin. 2014. “Experiments and computations of solitary-wave forces on a coastal-bridge deck. Part II: Deck with girders.” Coastal Eng. 88 (Jun): 210–228. https://doi.org/10.1016/j.coastaleng.2014.02.007.
Henry, A. M. 2011. “Wave forces on bridge decks and damping techniques to reduce damages.” M.S. thesis, Dept. of Civil and Environmental Engineering, Louisiana State Univ.
Hirt, C. W., and B. D. Nichols. 1981. “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys. 39 (1): 201–225. https://doi.org/10.1016/0021-9991(81)90145-5.
Huang, B., B. Zhu, S. Cui, L. Duan, and Z. Cai. 2018a. “Influence of current velocity on wave-current forces on coastal bridge decks with box girders.” J. Bridge Eng. 23 (12): 04018092. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001309.
Huang, B., B. Zhu, S. Cui, L. Duan, and J. Zhang. 2018b. “Experimental and numerical modelling of wave forces on coastal bridge superstructures with box girders, Part I: Regular waves.” Ocean Eng. 149 (Feb): 53–77. https://doi.org/10.1016/j.oceaneng.2017.11.046.
Iradjpanah, K. 1983. “Wave uplift force on horizontal platform.” Ph.D. thesis, Univ. of Southern California.
Jacobsen, N. G., D. R. Fuhrman, and J. Fredsøe. 2012. “A wave generation toolbox for the open-source CFD library: OpenFoam.” Int. J. Numer. Methods Fluids 70 (9): 1073–1088. https://doi.org/10.1002/fld.2726.
Jasak, H. 1996. “Error analysis and estimation for the finite volume method with applications to fluid flows.” Ph.D. thesis, Imperial College of Science, Technology and Medicine.
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.
Lai, C. P. 1986. “Wave interaction with structure: Hydrodynamic loadings on platforms and docks.” Ph.D. thesis, Univ. of Southern California.
Lai, C. P., and J. J. Lee. 1989. “Interaction of finite amplitude waves with platforms or docks.” J. Waterway, Port, Coastal, Ocean Eng. 115 (1): 19–39. https://doi.org/10.1061/(ASCE)0733-950X(1989)115:1(19).
Lau, T. L., T. Ohmachi, S. Inoue, and P. Lukkunaprasit. 2011. “Experimental and numerical modeling of tsunami force on bridge decks.” In Tsunami—A growing disaster, edited by M. Mokhtari, 105–130. Vienna, Austria: INTECH Open Access Publisher.
Lehrman, J., C. Higgins, and D. Cox. 2012. “Performance of highway bridge girder anchorages under simulated hurricane wave induced loads.” J. Bridge Eng. 17 (2): 259–271. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000262.
McPherson, R. L. 2008. “Hurricane induced wave and surge forces on bridge decks.” M.Sc. thesis, Texas A&M Univ.
Motley, M. R., H. K. Wong, X. Qin, A. O. Winter, and M. O. Eberhard. 2016. “Tsunami-induced forces on skewed bridges.” J. Waterway, Port, Coastal, Ocean Eng. 142 (3): 04015025. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000328.
Qu, K., H. S. Tang, A. Agrawal, and Y. Cai. 2017. “Hydrodynamic effects of solitary waves impinging on a bridge deck with air vents.” J. Bridge Eng. 22 (7): 04017024. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001040.
Robertson, I. N., S. Yim, and T. Tran. 2011. “Case study of concrete bridge subjected to hurricane storm surge and wave action.” In Proc., Solutions to Coastal Disasters 2011, edited by L. A. Wallendorf, C. Jones, L. Ewing, and B. Battalio, 728–739. Reston, VA: ASCE.
Sarfaraz, M., and A. Pak. 2017. “SPH numerical simulation of tsunami wave forces impinged on bridge superstructures.” Coastal Eng. 121 (Mar): 145–157. https://doi.org/10.1016/j.coastaleng.2016.12.005.
Sarpkaya, T., and M. Isaacson. 1981. Mechanics of wave forces on offshore structures. New York: Van Nostrand Reinhold.
Seiffert, B. R., R. C. Ertekin, and I. N. Robertson. 2014a. “Experimental investigation on the role of entrapped air on solitary wave forces on a coastal bridge deck.” In Proc., 33rd Int. Conf. on Ocean, Offshore and Arctic Engineering, OMAE 14. New York: ASME.
Seiffert, B. R., R. C. Ertekin, and I. N. Robertson. 2016. “Effect of entrapped air on solitary wave forces on a coastal bridge deck with girders.” J. Bridge Eng. 21 (2): 04015036. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000799.
Seiffert, B. R., M. Hayatdavoodi, and R. C. Ertekin. 2014b. “Experiments and computations of solitary-wave forces on a coastal-bridge deck. Part I: Flat plate.” Coastal Eng. 88 (88): 194–209. https://doi.org/10.1016/j.coastaleng.2014.01.005.
Shoji, G., Y. Hiraki, K. Fujima, and Y. Shigihara. 2011. “Evaluation of tsunami fluid force acting on a bridge deck subjected to breaker bores.” Procedia Eng. 14: 1079–1088. https://doi.org/10.1016/j.proeng.2011.07.136.
Shoji, G., and T. Moriyama. 2007. “Evaluation of the structural fragility of a bridge structure subjected to a tsunami wave load.” J. Nat. Disaster Sci. 29 (2): 73–81. https://doi.org/10.2328/jnds.29.73.
Sugimoto, T., and S. Unjoh. 2007. “Hydraulic model tests on the bridge structures damaged by tsunami and tidal wave.” In Proc., 23rd US-Japan Bridge Engineering Workshop, 110. Tsukuba, Japan: Task Committee G (Transportation Systems).
USAID (US Agency for International Development). 2005. Tsunami relief, bureau for legislative and public affairs. Washington, DC: USAID.
Wei, Z., and R. A. Dalrymple. 2016. “Numerical study on mitigating tsunami force on bridges by an SPH model.” J. Ocean Eng. Mar. Energy 2 (3): 365–380. https://doi.org/10.1007/s40722-016-0054-6.
Wei, Z., R. A. Dalrymple, A. Hérault, G. Bilotta, E. Rustico, and H. Yeh. 2015. “SPH modeling of dynamic impact of tsunami bore on bridge piers.” Coastal Eng. 104 (Oct): 26–42. https://doi.org/10.1016/j.coastaleng.2015.06.008.
Wei, Z., R. A. Dalrymple, E. Rustico, A. Hérault, and G. Bilotta. 2016. “Simulation of nearshore tsunami breaking by smoothed particle hydrodynamics method.” J. Waterway, Port, Coastal, Ocean Eng. 142 (4): 05016001. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000334.
Weller, H. G. 2002. Derivation, modelling and solution of the conditionally averaged two-phase flow equations. Technical Rep. TR/HGW/02. Nabla Ltd.
Winter, A. O., M. R. Motley, and M. O. Eberhard. 2018. “Tsunami-like wave loading of individual bridge components.” J. Bridge Eng. 23 (2): 04017137. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001177.
Xu, G., and C. S. Cai. 2015a. “Numerical simulations of lateral restraining stiffness effect on bridge deck–wave interaction under solitary waves.” Eng. Struct. 101 (Oct): 337–351. https://doi.org/10.1016/j.engstruct.2015.07.031.
Xu, G., and C. S. Cai. 2015b. “Wave forces on Biloxi Bay bridge decks with inclinations under solitary waves.” J. Perform. Constr. Facil. 29 (6): 04014150. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000644.
Xu, G., and C. S. Cai. 2017. “Numerical investigation of the lateral restraining stiffness effect on the bridge deck-wave interaction under Stokes waves.” Eng. Struct. 130 (Jan): 112–123. https://doi.org/10.1016/j.engstruct.2016.10.007.
Xu, G., C. S. Cai, and Q. Chen. 2017a. “Countermeasure of air venting holes in the bridge deck–wave interaction under solitary waves.” J. Perform. Constr. Facil. 31 (1): 04016071. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000937.
Xu, G., C. S. Cai, and L. Deng. 2017b. “Numerical prediction of solitary wave forces on a typical coastal bridge deck with girders.” Struct. Infrastruct. Eng. 13 (2): 254–272. https://doi.org/10.1080/15732479.2016.1158195.
Xu, G., C. S. Cai, and Y. Han. 2016. “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.
Xu, G., Q. Chen, and J. Chen. 2018a. “Prediction of solitary wave forces on coastal bridge decks using artificial neural networks.” J. Bridge Eng. 23 (5): 04018023. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001215.
Xu, G., Q. Chen, L. Zhu, and A. Chakrabarti. 2018b. “Characteristics of the wave loads on coastal low-lying twin-deck bridges.” J. Perform. Constr. Facil. 32 (1): 04017132. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001128.
Yeh, H., M. Francis, C. Peterson, T. Katada, G. Latha, R. K. Chadha, J. P. Singh, and G. Raghuraman. 2007. “Effects of the 2004 Great Sumatra tsunami: Southeast Indian Coast.” J. Waterway, Port, Coastal, Ocean Eng. 133 (6): 382–400. https://doi.org/10.1061/(ASCE)0733-950X(2007)133:6(382).
Yuan, P., G. Xu, C. Qin, and C. S. Cai. 2018. “Framework of practical performance evaluation and concept of interface design for bridge deck.” J. Bridge Eng. 23 (7): 04018048. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001260.
Zhao, B. B., R. C. Ertekin, W. Y. Duan, and M. Hayatdavoodi. 2014. “On the steady solitary-wave solution of the Green–Naghdi equations of different levels.” Wave Motion 51 (8): 1382–1395. https://doi.org/10.1016/j.wavemoti.2014.08.009.
Zhu, M., I. Elkhetali, and M. H. Scott. 2018. “Validation of OpenSees for tsunami loading on bridge superstructures.” J. Bridge Eng. 23 (4): 04018015. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001221.

Information & Authors

Information

Published In

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

History

Received: Jun 2, 2018
Accepted: Feb 27, 2019
Published online: Jul 9, 2019
Published in print: Sep 1, 2019
Discussion open until: Dec 9, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Bo Huang, S.M.ASCE [email protected]
Ph.D. Candidate, Dept. of Bridge Engineering, Southwest Jiaotong Univ., Chengdu 610031, China. Email: [email protected]
Lunliang Duan [email protected]
Ph.D. Candidate, Dept. of Bridge Engineering, Southwest Jiaotong Univ., Chengdu 610031, China. Email: [email protected]
Zhiying Yang [email protected]
Ph.D. Candidate, Dept. of Bridge Engineering, Southwest Jiaotong Univ., Chengdu 610031, China. Email: [email protected]
Jiawei Zhang [email protected]
Ph.D. Candidate, Dept. of Bridge Engineering, Southwest Jiaotong Univ., Chengdu 610031, China. Email: [email protected]
Assistant Professor, Dept. of Bridge Engineering, Southwest Jiaotong Univ., Chengdu 610031, China. Email: [email protected]
Professor, Dept. of Bridge Engineering, Southwest Jiaotong Univ., Chengdu 610031, China (corresponding author). Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share