Abstract
The wave action on a box girder-type bridge deck is experimentally investigated in this study. Two types of incident waves, namely, regular waves (RWs) and focused waves (FWs), are tested. Fourier, wavelet, and Hilbert spectra of the vertical wave forces are obtained and analyzed. Four different methods are then applied to obtain the low- and high-frequency components of the total vertical wave force. Based on the separation results, the relationship between the wave force and wave crest amplitude is thereafter examined. An empirical formula is proposed to predict the vertical wave force. It is hoped that the aforementioned empirical formula may be widely applied during bridge design.
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References
AASHTO (2008) Guide specifications for bridges vulnerable to coastal storms. American Association of State Highway and Transportation Officials, Washington DC, USA
Azadbakht M, Yim S (2015) Simulation and estimation of tsunami loads on bridge superstructures. Journal of Waterway, Port, Coastal, and Ocean Engineering 141(2):04014031, DOI: https://doi.org/10.1061/(ASCE)WW.1943-5460.0000262
Bea RG, Xu T, Stear J, Ramos R (1999) Wave forces on decks of offshore platforms. Journal of Waterway, Port, Coastal, and Ocean Engineering 125(3):136–144, DOI: https://doi.org/10.1061/(ASCE)0733-950X(1999)125:3(136)
Bradner C, Schumacher T, Cox D, Higgins C (2011) Large scale laboratory observations of wave forces on a highway bridge superstructure. Oregon State University, Portland, OR, USA
Cai Y, Agrawal A, Qu K, Tang HS (2018) Numerical investigation of connection forces of a coastal bridge deck impacted by solitary waves. Journal of Bridge Engineering 23(1):04017108, DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0001135
Chen C, Melville BW, Nandasena NAK, Farvizi F (2018) An experimental investigation of tsunami bore impacts on a coastal bridge model with different contraction ratios. Journal of Coastal Research 34(2):460–469, DOI: https://doi.org/10.2112/jcoastres-d-16-00128.1
Chen Q, Wang LX, Zhao HH (2009) Hydrodynamic investigation of coastal bridge collapse during Hurricane Katrina. Journal of Hydraulic Engineering 135(3):175–186, DOI: https://doi.org/10.1061/(ASCE)0733-9429(2009)135:3(175)
Chen X, Zhan J, Chen Q, Cox D (2016) Numerical modeling of wave forces on movable bridge decks. Journal of Bridge Engineering 21(9):04016055, DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0000922
Cuomo G, Shimosako K, Takahashi S (2009) Wave-in-deck loads on coastal bridges and the role of air. Coastal Engineering 56(8):793–809, DOI: https://doi.org/10.1016/j.coastaleng.2009.01.005
Cuomo G, Tirindelli M, Allsop W (2007) Wave-in-deck loads on exposed jetties. Coastal Engineering 54(9):657–679, DOI: https://doi.org/10.1016/j.coastaleng.2007.01.010
Deng Y, Yang J, Zhao W, Li X, Xiao L (2016) Freak wave forces on a vertical cylinder. Coastal Engineering 114:9–18, DOI: https://doi.org/10.1016/j.coastaleng.2016.03.007
Denson KH (1978) Wave forces on causeway-type coastal bridges. Mississippi State University, O.o.W.R.a. Technology, Starkville, MS, USA
Douglass SL, Krolak J (2008) Highways in the coastal environment. Federal Highway Administration, Washington DC, USA
Fang Q, Hong R, Guo A, Li H (2019) Experimental investigation of wave forces on coastal bridge decks subjected to oblique wave attack. Journal of Bridge Engineering 24(4):04019011, DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0001373
Guo AX, Fang QH, Bai XD, Li H (2015a) Hydrodynamic experiment of the wave force acting on the superstructures of coastal bridges. Journal of Bridge Engineering 20(12):04015012, DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0000758
Guo A, Fang Q, Li H (2015b) Analytical solution of hurricane wave forces acting on submerged bridge decks. Ocean Engineering 108(16):519–528, DOI: https://doi.org/10.1016/j.oceaneng.2015.08.018
Halliday JR, Dorrell DG, Wood AR (2011) An application of the Fast Fourier Transform to the short-term prediction of sea wave behaviour. Renewable Energy 36(6):1685–1692, DOI: https://doi.org/10.1016/j.renene.2010.11.035
Hayatdavoodi M, Ertekin RC (2016) Review of wave loads on coastal bridge decks. Applied Mechanics Reviews 68(3):030802, DOI: https://doi.org/10.1115/1.4033705
Hayatdavoodi M, Seiffert B, Ertekin RC (2014) Experiments and computations of solitary-wave forces on a coastal-bridge deck. Part II: Deck with girders. Coastal Engineering 88(6):210–228, DOI: https://doi.org/10.1016/j.coastaleng.2014.02.007
Huang NE, Shen Z, Long SR (1999) A new view of nonlinear water waves: The Hilbert spectrum. Annual Review of Fluid Mechanics 31(1):417–457, DOI: https://doi.org/10.1146/annurev.fluid.31.1.417
Huang WR, Xiao H (2009) Numerical modeling of dynamic wave force acting on escambia bay bridge deck during hurricane Ivan. Journal of Waterway, Port, Coastal, and Ocean Engineering 135(4):164–175, DOI: https://doi.org/10.1061/(ASCE)0733-950x(2009)135:4(164)
Huang B, Zhu B, Cui S, Duan L, Zhang J (2018) Experimental and numerical modelling of wave forces on coastal bridge superstructures with box girders, Part I: Regular waves. Ocean Engineering 149:53–77, DOI: https://doi.org/10.1016/j.oceaneng.2017.11.046
Hwang PA, Huang NE, Wang DW (2003) A note on analyzing nonlinear and nonstationary ocean wave data. Applied Ocean Research 25(4): 187–193, DOI: https://doi.org/10.1016/j.apor.2003.11.001
James D, Cleary J, Douglass S (2015) Estimating wave loads on bridge decks. Proceedings of the structures congress, April 23–25, Portland, OR, USA
Jin J, Meng B (2011) Computation of wave loads on the superstructures of coastal highway bridges. Ocean Engineering 38(11):2185–2200, DOI: https://doi.org/10.1016/j.oceaneng.2011.09.029
Kaplan P, Murray JJ, Yu WC (1995) Theoretical analysis of wave impact forces on platform deck structures. Proceedings of the 14th international conference on offshore mechanics & arctic engineering, December 31, Copenhagen, Denmark
Ma YX, Dong GH, Perlin M, Liu SX, Zang J, Sun YY (2009) Higher-harmonic focused-wave forces on a vertical cylinder. Ocean Engineering 36(8):595–604, DOI: https://doi.org/10.1016/j.oceaneng.2009.02.009
Marin JM (2010) Wave loading on bridge superstructures. MSc Thesis, University of Florida, Gainesville, FL, USA
McConnell K, Allsop W, Cruickshank I (2004) Piers, jetties and related structures exposed to waves: Guidelines for hydraulic loadings. Thomas Telford Services Limited, London, UK
Mcpherson RL (2008) Hurricane induced wave and surge forces on bridge decks. MSc Thesis, Texas A&M University, Kingsville, TX, USA
Murali K, Sundar V, Setti K (2009) Wave-induced pressures and forces on deck slabs near the free surface. Journal of Waterway, Port, Coastal, and Ocean Engineering 135(6):269–277, DOI: https://doi.org/10.1061/(ASCE)0733-950X(2009)135:6(269)
Overbeek J, Klabbers IM (2001) Design of jetty decks for extreme vertical wave loads proceedings of the ports conference. April 29–May 2, Norfolk, VA, USA
Padgett J, DesRoches R, Nielson B, Yashinsky M, Kwon OS, Burdette N, Tavera E (2008) Bridge damage and repair costs from Hurricane Katrina. Journal of Bridge Engineering 13(1):6–14, DOI: https://doi.org/10.1061/(ASCE)1084-0702(2008)13:1(6)
Qeshta IM, Hashemi MJ, Gravina R, Setunge S (2019) Review of resilience assessment of coastal bridges to extreme wave-induced loads. Engineering Structures 185:332–352, DOI: https://doi.org/10.1016/j.engstruct.2019.01.101
Stansberg CT (2020) Wave front steepness and influence on horizontal deck impact loads. Journal of Marine Science and Engineering 8(5):314, DOI: https://doi.org/10.3390/jmse8050314
Suchithra N, Koola PM (1995) A study of wave impact of horizontal slabs. Ocean Engineering 22(7):687–697, DOI: https://doi.org/10.1016/0029-8018(95)00001-2
Torrence C, Compo GP (1998) A practical guide to wavelet analysis. Bulletin of the American Meteorological Society 79(1):61–78
Tu Y, Cheng Z, Muskulus M (2018) Global slamming forces on jacket structures for offshore wind applications. Marine Structures 58:53–72, DOI: https://doi.org/10.1016/j.marstruc.2017.11.001
Wiebe DM, Park H, Cox DT (2014) Application of the Goda pressure formulae for horizontal wave loads on elevated structures. KSCE Journal of Civil Engineering 18(6):1573–1579, DOI: https://doi.org/10.1007/s12205-014-0175-1
Wu CH, Yao AF (2004) Laboratory measurements of limiting freak waves on currents. Journal of Geophysical Research-Oceans 109(C12), DOI: https://doi.org/10.1029/2004jc002612
Xiao H, Huang W, Chen Q (2010) Effects of submersion depth on wave uplift force acting on Biloxi Bay Bridge decks during Hurricane Katrina. Computers & Fluids 39(8):1390–1400, DOI: https://doi.org/10.1016/j.compfluid.2010.04.009
Xu G, Cai C, Deng L (2016a) Numerical prediction of solitary wave forces on a typical coastal bridge deck with girders. Structure and Infrastructure Engineering 13(2):254–272, DOI: https://doi.org/10.1080/15732479.2016.1158195
Xu G, Cai CS, Han Y (2016b) Investigating the characteristics of the solitary wave-induced forces on coastal twin bridge decks. Journal of Performance of Constructed Facilities 30(4):04015076, DOI: https://doi.org/10.1061/(ASCE)CF.1943-5509.0000821
Acknowledgments
This study was financially supported by Grants 51808172 and 51808175 from the National Natural Science Foundation of China. This work was also partially supported by the China Postdoctoral Science Foundation with grant No. 2020T130154 and Open Fund of State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology with grant No. LP1905.
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Fang, Q., Zhou, J. & Zhou, P. Spectral Analysis and Prediction of the Wave Forces Acting on Coastal Bridge Decks. KSCE J Civ Eng 25, 1826–1836 (2021). https://doi.org/10.1007/s12205-021-1334-9
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DOI: https://doi.org/10.1007/s12205-021-1334-9