[1] S. S. AbdelSalam, S. Sritharan, and M. T. Suleiman, Current design and construction practices of bridge pile foundations with emphasis on implementation of LRFD.Journal of Bridge Eng.15 (2010) 749-758.
https://doi.org/10.1061/(ASCE)BE.1943-5592.0000118
[2] Wei K, Yuan W, Bouaanani N. Experimental and numerical assessment of the three-dimensional modal dynamic response of bridge pile foundations submerged in water. J Bridg Eng, 18 (2013) 1032–1041
[3] Wei C ,Numerical simulation of combined actions of wind and wave and their actions on cylindrical component. Harbin Institute of Technology, Harbin,2012.
[4] Yang, W., Li, Q. and Yeh, H. Calculation method of hydrodynamic forces on circular piers during earthquakes.Journal of Bridge Engineering, 22 (2017) 04017093.
[5] An-jie, W. and Wan-li, Y. Numerical study of pile group effect on the hydrodynamic force on a pile of sea-crossing bridges during earthquakes. Ocean Engineering, 199, 2020,106999.
[6] Usciłowska, A., Kołodziej, J.A., Free vibration of immersed column carrying a tip mass. J. Sound Vib. 216 (1998) 147–157.
[7] Q. Yue, & x. Bi, ice-induced jacket structure vibrations in bohai sea. J. Cold Reg. Eng. 14 (2002) 81-92.
[8] Zhang Yunliang, Li Zhijun, and Lin Gao .Ice-structure dynamic interaction process of DDA simulation. Glacier frozen soil, 25 (2003) 313-316.
[9] Liu Chuanguang . Bridge construction response in the earthquake and ice loads. Earthquake engineering and engineering vibration, 25 (2005),141-146.
[10] Huang Xin. Seismic excitation-water and pier dynamic interaction analysis. Tianjin University,2008.
[11] Gao Xuekui, Zhu Xi, and Li Hui. The seismic response analysis of the deep water bridge pier under Near-field seismic wave. Engineering seismic and reinforcement and reconstruction, 28 (2009) 83-87.
[12] Pei Bing. Seismic dynamic response of Hardfill dam comparative analysis. Hydropower energy science, 28 (2010) 85-88.
[13] Li, Q. and Yang, W. An improved method of hydrodynamic pressure calculation for circular hollow piers in deep water under earthquake. Ocean Engineering, 72 (2013) 241-256.
[14] Jiang, H., Wang, B., Bai, X., Zeng, C. and Zhang, H. Simplified expression of hydrodynamic pressure on deepwater cylindrical bridge piers during earthquakes. Journal of Bridge Eng., 22 (2017a) 04017014
[15] Wang, P., Zhao, M. and Du, X. (2018a). Analytical solution and simplified formula for earthquake induced hydrodynamic pressure on elliptical hollow cylinders in water. Ocean Engineering, 148, 149-160.
[16] Wang, J. T., Zhang, M. X., Jin, A. Y. and Zhang, C. H.. Seismic fragility of arch dams based on damage analysis.Soil Dynamics and Earthquake Engineering, 109 (2018b) 58-68.
[17] Xu, H., Zou, D., Kong, X., Hu, Z., Su, X. A nonlinear analysis of dynamic interactions of CFRD–compressible reservoir system based on FEM–SBFEM. Soil Dyn. Earthq. Eng. 112 (2018) 24–34.
[18] Liu, Y., HAMS: a frequency-domain preprocessor for wave-structure interactions—theory, development, and application. J. Mar. Sci. Eng. 7 (2019) 81.
[19] H. Gou, h. Long, y. Bao, g. Chen, q. Pu, and r. Kang, Stress distributions in girder-arch-pier connections of long-span continuous rigid frame arch railway bridges. Journal of bridge eng, 23 (2018) 7-22.
[20] Jiang, H., Wang, B. X., Bai, X. and Zeng, C. Nonlinear dynamic response character of deep-water bridge piers excited by strong near-fault and far-field earthquakes. Journal of Huazhong University of Science and Technology (Natural Science edition), 45 (2017b) 81-86.
[21] Pang, Y., Kai, W., Yuan, W. and Shen, G. Effects of dynamic fluid-structure interaction on seismic response of multi-span deep water bridges using fragility function method.Advances in Structural Engineering, 18 (2015) 525-541.
[22] Westergaard, H. M. (1933). Water pressures on dams during earthquakes. Transactions of the American society of Civil Engineers, 98 (1933) 418-433.
[23] Yang, W. and Li, Q. The expanded Morison equation considering inner and outer water hydrodynamic pressure of hollow piers. Ocean Engineering, 69 (2013) 79-87.
[24] Ministry of Communications of China. Code for design of ground base and foundation of highway bridges and culverts. JTG D63-2007, China Communications Press, Beijing (in Chinese),2007.
[25] Gruber JJ. Reliability and effect of partially restrained wood shear walls. Wayne State University dissertations. Paper 442,2012. <http://digitalcommons.wayne.edu/oa_dissertations/442/>[accessed25.03.13]
[26] Abaqus Analysis User's Manual. Version 6.11, Formulation of Eulerian– Lagrangian contact Section 14.1.1. Dassault Systèmes,2011
[27] Al-Taie, A. J. and Albusoda, B. S. (2019). Earthquake hazard on Iraqi soil: Halabjah earthquake as a case study. Geodesy and Geodynamics, 10 (2019) 196-204.
[28] MCPRC, Ministry of Communications of the People’s Republic of China. Code for design of highway reinforced concrete and pre-stressed concrete bridge and culverts. JTGD62-2004. Beijing: China Communications,2004.
[30] Khatri, D., and J. C. Anderson. Analysis of reinforced concrete shear wall components using the ADINA nonlinear concrete model. Comput. Struct. 56 (1995) 485–504. https://doi.org/10.1016/0045-7949(95)00039-J.
[33] Yang, W.L., Li, A., Li, Q., Wen, Z.B., Zhao, W.L. (2018). Scaling law study for earthquake induced pier–water interaction experiments. Environ. Fluid Mech. 19 (1), 55–79.
[34] Yang, W., (2012). Study on hydrodynamic analysis methods of deep-water bridges. [In Chinese.] Ph.D. thesis, Southwest Jiaotong Univ.
[35] Zhang, J., Wei, K., Pang, Y., Zhang, M., & Qin, S. (2019). Numerical investigation into hydrodynamic effects on the seismic response of complex hollow bridge pier submerged in reservoir: case study.
Journal of Bridge Engineering,
24(2), 05018016.
https://doi/abs/10.1061/(ASCE)BE.1943-5592.0001340.
[36] Ministry of Transport of the People’s Republic of China (2015). JTS145-2015 Code of Hydrology for Harbour and Waterway[S]. China Communications Press, Beijing,2015.