Research PaperNo Access

Stochastic Response of a Coastal Cable-Stayed Bridge Subjected to Multi-Dimensional and Multi-Supported Earthquake and Waves

School of Civil Engineering, Tianjin University, Tianjin 300350, P. R. China

Tianjin Key Laboratory of Structural Protection and Reinforcement, Tianjin Chengjian University, Tianjin 300384, P. R. China

E-mail Address: sibomeng@yeah.net

Corresponding author.

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YANG DING

School of Civil Engineering, Tianjin University, Tianjin 300350, P. R. China

Key Laboratory of Coast Civil, Structure Safety (Tianjin University), Ministry of Education, Tianjin 300350, P. R. China

E-mail Address: dingyang@tju.edu.cn

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https://doi.org/10.1142/S1793431121500068Cited by:9 (Source: Crossref)

Abstract

In this paper, a stochastic dynamic analysis method for cable-stayed bridges subjected to multi-dimensional and multi-supported earthquake and waves is established based on the pseudo-excitation method. The Monte Carlo method is used to analyze the influence of excitation nonlinearity on the bridge structure response, and the applicability of this method is verified. Stochastic response characteristic of coastal cable-stayed bridges subjected to multi-dimensional and multi-supported earthquake and waves is studied. The influence of water–structure interaction on the stochastic seismic response of main components of the cable-stayed bridge is described, and the influence of key parameters is analyzed. The results show that the influence of excitation nonlinearity on the response of the cable-stayed bridge can be neglected. A greater energy input caused by the rigid additional mass of the hydrodynamic pressure is the reason for the increasing of the seismic response. The influence of stochastic response of the underwater structure of the tower is changed with the site conditions. For the ground motion acceleration input energy being distributed in the high-frequency domain, the water–structure interaction has a greater effect on stochastic seismic response of the underwater structure of the tower. The influence of water–structure interaction on the stochastic seismic response of the underwater structure of the cable-stayed bridge increases with the increasing of the wave height and water depth.

Keywords:

References

Alves, J. H. G. M., Banner, M. L. and Young, I. R. [2003] “Revisiting the Pierson–Moskowitz asymptotic limits for fully developed wind waves,” J. Phys. Oceanogr. 33(7), 1301–1323. Crossref, Web of Science, Google Scholar
Ates, S., Soyluk, K., Dumanoglu, A. A. and Bayraktar, A. [2009] “Earthquake response of isolated cable-stayed bridges under spatially varying ground motions,” Struct. Eng. Mech. 31(6), 639–662. Crossref, Web of Science, Google Scholar
Binder, K. [1984] Applications of the Monte Carlo Method in Statistical Physics, Topics in Current Physics, Vol. 36 (Springer-Verlag, Berlin). Crossref, Google Scholar
Bracewell, R. N. [1986] The Fourier Transform and Its Applications, 2nd edition (McGraw-Hill, New York, NY). Google Scholar
Caska, A. J. and Finnigan, T. D. [2008] “Hydrodynamic characteristics of a cylindrical bottom-pivoted wave energy absorber,” Ocean Eng. 35(1), 6–16. Crossref, Web of Science, Google Scholar
Chandrasekaran, S., Jain, A. K. and Chandak, N. R. [2006] “Seismic analysis of offshore triangular tension leg platforms,” Int. J. Struct. Stab. Dyn. 6(1), 97–120. Link, Web of Science, Google Scholar
Çavdar, Ö., Bayraktar, A. and Adanur, S. [2010] “Stochastic finite element analysis of a cable-stayed bridge system with varying material properties,” Probabilistic Eng. Mech. 25(2), 279–289. Crossref, Web of Science, Google Scholar
Cheng, Z., Gao, Z. and Moan, T. [2018] “Wave load effect analysis of a floating bridge in a fjord considering inhomogeneous wave conditions,” Eng. Struct. 163, 197–214. Crossref, Web of Science, Google Scholar
Clough, R. W. and Penzien, J. [1993] Dynamics of Structures (McGraw-Hill, Singapore). Google Scholar
Der Kiureghian, A. [1996] “A coherency model for spatially varying ground motions,” Earthq. Eng. Struct. Dyn. 25(1), 99–111. Crossref, Web of Science, Google Scholar
Dong, G.-H., Tang, M.-F., Xu, T.-J., Bi, C.-W. and Guo, W.-J. [2019] “Experimental analysis of the hydrodynamic force on the net panel in wave,” Appl. Ocean Res. 87, 233–246. Crossref, Web of Science, Google Scholar
Du, X. L., Wang, P. and Zhao, M. [2014] “Simplified formula of hydrodynamic pressure on circular bridge piers in the time domain,” Ocean Eng. 85, 44–53. Crossref, Web of Science, Google Scholar
Dumanogluid, A. A. and Soyluk, K. [2003] “A stochastic analysis of long span structures subjected to spatially varying ground motions including the site-response effect,” Eng. Struct. 25(10), 1301–1310. Crossref, Web of Science, Google Scholar
Eatcock Taylor, R. and Chau, F. P. [1992] “Wave diffraction theory — Some developments in linear and nonlinear theory,” Trans. ASME. J. Offshore Mech. Arct. Eng. 114(3), 185–194. Crossref, Google Scholar
Jayalekshmi, R., Sundaravadivelu, R. and Idichandy, V. G. [2010] “Dynamic analysis of deep water tension leg platforms under random waves,” Trans. ASME. J. Offshore Mech. Arct. Eng. 132(4), 041605. Crossref, Web of Science, Google Scholar
Jia, L. L. and Han, Y. [2011] “Seismic response analysis of pier in deep water with wave effect,” Adv. Mater. Res. 163–167, 4072–4075. Crossref, Google Scholar
Karadeniz, H. [1999] “Spectral analysis of offshore structures under combined wave and earthquake loadings,” Proc. Ninth Int. Offshore and Polar Engineering Conf. Google Scholar
Kim, S. J., Won, D. H. and Kang, J. S. [2018] “Dynamic behavior of cable-stayed bridges with floating towers under waves,” J. Korean Soc. Steel Constr. 30(4), 205–216 (in Korean). Crossref, Google Scholar
Li, Z. X. and Huang, X. [2012] “Dynamic responses of bridges in deep water under combined earthquake and wave actions,” Tumu Gongcheng Xuebao/China Civ. Eng. J. 45(11), 134–140 (in Chinese). Google Scholar
Li, Y., Wang, K. H., Li, Q. and Han, W. [2011] “Study on the effect of hydrodynamic force on deep-water bridges in earthquake,” Adv. Mater. Res. 255–260, 1701–1705. Crossref, Google Scholar
Li, T., Li, H. and Liu, G. [2012] “Seismic response of power transmission tower-line system under multi-component multi-support excitations,” J. Earthq. Tsunami 06(04), 1250025. Link, Web of Science, Google Scholar
Li, C., Li, H.-N., Hao, H., Bi, K. and Chen, B. [2018] “Seismic fragility analyses of sea-crossing cable-stayed bridges subjected to multi-support ground motions on offshore sites,” Eng. Struct. 165, 441–456. Crossref, Web of Science, Google Scholar
Li, Z.-X., Wu, K., Shi, Y., Ning, L. and Yang, D. [2019] “Experimental study on the interaction between water and cylindrical structure under earthquake action,” Ocean Eng. 188, 106300. Crossref, Web of Science, Google Scholar
Lin, J. H., Zhang, Y. H., Li, Q. S. and Williams, F. W. [2004] “Seismic spatial effects for long-span bridges, using the pseudo excitation method,” Eng. Struct. 26(9), 1207–1216. Crossref, Web of Science, Google Scholar
Ma, K., Zhong, J., Feng, R. and Yuan, W. [2019] “Investigation of ground-motion spatial variability effects on component and system vulnerability of a floating cable-stayed bridge,” Adv. Struct. Eng. 22(8), 1923–1937. Crossref, Web of Science, Google Scholar
Meng, S., Ding, Y. and Zhu, H. [2018] “Stochastic response of a coastal cable-stayed bridge subjected to correlated wind and waves,” J. Bridge Eng. 23(12), 04018091. Crossref, Web of Science, Google Scholar
Morison, J. R., Johnson, J. W. and Schaaf, S. A. [1950] “The force exerted by surface waves on piles,” J. Pet. Technol. 2(5), 149–154. Crossref, Google Scholar
Ozdemir, Z., Souli, M. and Fahjan, Y. M. [2010] “Application of nonlinear fluid–structure interaction methods to seismic analysis of anchored and unanchored tanks,” Eng. Struct. 32(2), 409–423. Crossref, Web of Science, Google Scholar
Qu, K., Sun, W. Y., Kraatz, S., Deng, B. and Jiang, C. B. [2020] “Effects of floating breakwater on hydrodynamic load of low-lying bridge deck under impact of cnoidal wave,” Ocean Eng. 203, 107217. Crossref, Web of Science, Google Scholar
Raheem, S. E. A., Hayashikawa, T. and Dorka, U. [2011] “Ground motion spatial variability effects on seismic response control of cable-stayed bridges,” Earthq. Eng. Eng. Vib. 10(1), 37–49. Crossref, Web of Science, Google Scholar
Shiravand, M. R. and Parvanehro, P. [2019] “Spatial variation of seismic ground motion effects on nonlinear responses of cable stayed bridges considering different soil types,” Soil Dyn. Earthq. Eng. 119, 104–117. Crossref, Web of Science, Google Scholar
Soyluk, K. and Dumanoglu, A. A. [2004] “Spatial variability effects of ground motions on cable-stayed bridges,” Soil Dyn. Earthq. Eng. 24(3), 241–250. Crossref, Web of Science, Google Scholar
Sun, L., Liu, C. F., Zong, Z. and Dong, X. L. [2014] “Fatigue damage analysis of the deep water riser from VIV using pseudo-excitation method,” Mar. Struct. 37, 86–110. Crossref, Web of Science, Google Scholar
Tonyali, Z., Ates, S. and Adanur, S. [2019] “Spatially variable effects on seismic response of the cable-stayed bridges considering local soil site conditions,” Struct. Eng. Mech. 70(2), 143–152. Web of Science, Google Scholar
Venkataramana, K., Kawano, K., Yoshihara, S. and Khin, M. [1998] “Time-domain dynamic analysis of offshore structures under combined wave and earthquake loadings,” Proc. Eighth Int. Offshore and Polar Engineering Conf. Google Scholar
Wang, Z. J., Wu, L. M. and Xiao, S. X. [2014] “Vibration response analysis on deep-water piers under earthquake and wave coupling motivation,” Appl. Mech. Mater. 548–549, 1607–1612. Crossref, Google Scholar
Wang, P., Zhao, M. and Du, X. [2018] “Analytical solution and simplified formula for earthquake induced hydrodynamic pressure on elliptical hollow cylinders in water,” Ocean Eng. 148, 149–160. Crossref, Web of Science, Google Scholar
Wei, K., Arwade, S. R. and Myers, A. T. [2014] “Incremental wind-wave analysis of the structural capacity of offshore wind turbine support structures under extreme loading,” Eng. Struct. 79, 58–69. Crossref, Web of Science, Google Scholar
Williams, A. N. [1986] “Earthquake response of submerged circular cylinder,” Ocean Eng. 13(6), 569–585. Crossref, Web of Science, Google Scholar
Yang, S.-J., Chang, T.-R. and Fu, W.-S. [2005] “Numerical simulation of flow structures around an oscillating rectangular cylinder in a channel flow,” Comput. Mech. 35(5), 342–351. Crossref, Web of Science, Google Scholar
Zhang, Y. H., Li, Q. S., Lin, J. H. and Williams, F. W. [2009] “Random vibration analysis of long-span structures subjected to spatially varying ground motions,” Soil Dyn. Earthq. Eng. 29(4), 620–629. Crossref, Web of Science, Google Scholar
Zhao, B., Wang, Y., Chen, Z., Shi, Y., Jiang, Y. and Wang, Y. [2015] “Research on the random seismic response analysis for multi- and large-span structures to multi-support excitations,” Earthq. Eng. Eng. Vib. 14(3), 146–157. Crossref, Web of Science, Google Scholar
Zhong, J., Jeon, J.-S., Yuan, W. and DesRoches, R. [2017] “Impact of spatial variability parameters on seismic fragilities of a cable-stayed bridge subjected to differential support motions,” J. Bridge Eng. 22(6), 04017013. Crossref, Web of Science, Google Scholar
Zhong, J., Jeon, J.-S. and Ren, W.-X. [2018] “Risk assessment for a long-span cable-stayed bridge subjected to multiple support excitations,” Eng. Struct. 176, 220–230. Crossref, Web of Science, Google Scholar
Zhu, S., Xiang, T. and Li, Y. [2019] “An advanced pseudo excitation method and application in analyzing stochastic wind-induced response of slender bridge tower,” Adv. Struct. Eng. 22(9), 2021–2032. Crossref, Web of Science, Google Scholar