An efficient and accurate method of added mass for evaluating the seismic hydrodynamic effect of deep-water piers

Abstract

Due to the effects of complex fluid-structure interaction, deep-water bridges are more prone to damage under strong carthquakes. Quantification of seismic fluid-structure interaction can be crucial for evaluating the seismic performance of deep-water bridges. Currently, there is a lack of suitable methods for rapidly calculating hydrodynamic added mass for deep-water piers with complex cross-sectional shapes in the seismic performance assessment of deep-water bridges. In light of this, the present paper proposed an efficient and accurate method for calculating the hydrodynamic added mass of piers with different cross-sectional shapes. Taking circular, rectangular, and dumbbell-shaped piers as examples, the proposed method was employed to calculate the hydrodynamic added mass for deep-water bridge piers. Comparison of the seismic responses obtained from the analytical formula, fluid-structure coupling refined numerical model and the proposed method in this paper validated the accuracy of the proposed method. Finally, the hydrodynamic coupling effects of deep-water bridge piers were also investigated. It was concluded that the proposed method can be efficient and accurate for obtaining the added mass of deep-water piers.

Keywords

deep-water bridges / finite element model / fluid-structure interaction / hydrodynamic added mass / seismic performance

References

[1] Li J, Peng T, Xu Y. Damage investigation of girder bridges under the Wenchuan earthquake and corresponding seismic design recommendations. Earthq Eng Eng Vibr. 2008;7(4):337-344.

[2] Wang P, Zhao M, Du X, Liu J. Dynamic response of bridge pier under combined earthquake and wave-current action. J Bridge Eng. 2019;24(10):4019091-4019095.

[3] 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 Bridge Eng. 2013;18(10):1032-1041.

[4] Westergaard HM. Water pressures on dams during earthquakes. Trans Am Soc Civ Eng. 1933;98(2):418-433.

[5] Pang Y, Kai W, Yuan W, Shen G. Effects of dynamic fluid-structure interaction on seismic response of multi-span deep water bridges using fragility function method. Adv Struct Eng. 2015;18(4):525-541.

[6] Morison JR, Johnson JW, Schaaf SA. The force exerted by surface waves on piles. J Pet Technol. 1950;2(05):149-154.

[7] Goto H, Toki K. Vibrational characteristics and aseismic design of sub-merged bridge piers. Mem Fac Eng. 1965;27(1):17-30.

[8] Penzien J, Kaul MK, Berge B. Stochastic response of offshore towers to random sea waves and strong motion earthquakes. Comput Struct. 1972;2(5-6):733-756.

[9] Liaw CY, Chopra AK. Dynamics of towers surrounded by water. Earthq Eng Struct Dyn. 1974;3(1):33-49.

[10] Li Q, Yang W. An improved method of hydrodynamic pressure calculation for circular hollow piers in deep water under earthquake. Ocean Eng. 2013;72:241-256.

[11] Jiang H, Wang B, Bai X, Zeng C, Zhang H. Simplified expression of hydrodynamic pressure on deepwater cylindrical bridge piers during earthquakes. J Bridge Eng. 2017;22(6):04017014.

[12] Han RPS, Xu H. A simple and accurate added mass model for hydrodynamic fluid-structure interaction analysis. J Franklin Inst. 1996;333(6):929-945.

[13] Yang W, Li Q. The expanded Morison equation considering inner and outer water hydrodynamic pressure of hollow piers. Ocean Eng. 2013;69:79-87.

[14] Zhang J, Wei K, Qin S. An efficient numerical model for hydrodynamic added mass of immersed column with arbitrary cross-section. Ocean Eng. 2019;187:106192.

[15] Li ZX, Zheng Q, Wu K, Shi Y. Seismic analysis and test facilities of deep-water bridges considering water–structure interaction: a state-of-the-art review. Earthq Eng Resilience. 2022;1(1):21-39.

[16] Pang Y, Cai L, He W, Wu L. Response to discussion of “Seismic assessment of deep water bridges in reservoir considering hydrodynamic effects using endurance time analysis”. Ocean Eng. 2021;221:108538.

[17] Zhao J, Jia H, Zhan Y, Xiang Z, Zheng S, Bi K. Combination of LS-SVM algorithm and JC method for fragility analysis of deep-water high piers subjected to near-field ground motions. Structures. 2020;24:282-295.

[18] Di Pilato M, Perotti F, Fogazzi P. 3D dynamic response of submerged floating tunnels under seismic and hydrodynamic excitation. Eng Struct. 2008;30(1):268-281.

[19] Everstine GC. A symmetric potential formulation for fluid-structure interaction. J Sound Vibr. 1981;79(1):157-160.

[20] Pang Y, Wang X. Enhanced endurance-time-method (EETM) for efficient seismic fragility, risk and resilience assessment of structures. Soil Dyn Earthq Eng. 2021;147:106731.

[21] Bouaanani N, Lu FY. Assessment of potential-based fluid finite elements for seismic analysis of dam–reservoir systems. Comput Struct. 2009;87(3-4):206-224.

[22] Pang Y, Sun Y, Zhong J. Resilience-based performance and design of SMA/sliding bearing isolation system for highway bridges. Bull Earthq Eng. 2021;19:6187-6211.

[23] McKenna F. OpenSees: a framework for earthquake engineering simulation. Comput Sci Eng. 2011;13(4):58-66.

[24] Pang Y, Yin P, Wang J, Wu L. Integrated framework for seismic fragility assessment of cable-stayed bridges using deep learning neural networks. Sci China Technol Sci. 2023;66(2):406-416.

[25] Basim MC, Estekanchi HE. Application of endurance time method in performance-based optimum design of structures. Struct Saf. 2015;56:52-67.

[26] Wei K, Yuan W, Bouaanani N, Chang CC. An improved HSFR method for natural vibration analysis of an immersed cylinder pile with a tip mass. Theor Appl Mech Lett. 2012;2(2):023002.

[27] Bhatta DD, Rahman M. On scattering and radiation problem for a cylinder in water of finite depth. Int J Eng Sci. 2003;41(9):931-967.

[28] Zhang J, Wei K, Qin J. Resilience and economic loss assessment of highway bridges in deep reservoir under near-fault ground motions. J Bridge Eng. 2021;26(3):04021007.

[29] Li ZX, Wu K, Shi Y, Ning L, Yang D. Experimental study on the interaction between water and cylindrical structure under earthquake action. Ocean Eng. 2019;188:106330.

[30] Chen Y, Lv Y, Wu K, Huang X. Numerical analysis of bridge piers under earthquakes considering pile-soil interactions and water-pier interactions. Ocean Eng. 2022;266:113023.

[31] Xiang N, Alam MS, Li J. Effect of multi-story brace distribution on seismic performance of RC tall bridge bents retrofitted with buckling restrained braces. J Earthq Eng. 2022;26(16):8688-87051.

[32] Chen X, Xiang N, Guan Z, Li J. Seismic vulnerability assessment of tall pier bridges under mainshock-aftershock-like earthquake sequences using vector-valued intensity measure. Eng Struct. 2022;253:113732.

[33] Zhang Q, Hisada T. Analysis of fluid–structure interaction problems with structural buckling and large domain changes by ALE finite element method. Comput Methods Appl Mech Eng. 2001;190(48):6341-6357.

[34] Zhang J, Wei K, Pang Y, Zhang M, Qin S. Numerical investigation into hydrodynamic effects on the seismic response of complex hollow bridge pier submerged in reservoir: case study. J Bridge Eng. 2019;24(2):05018016.

[35] Zhang J, Wei K, Li J. Integrated assessment of the hydrodynamic added mass of the deep-water pile-cap foundation considering pile group-pile cap interaction. Ocean Eng, 2022, 244, 110418.

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