Dynamic Interaction of Bridge Spans and Piers as a Tuned System for Seismic Load Reduction
DOI:
https://doi.org/10.56904/j-gers.v5i1.200Keywords:
Seismic protection, Dynamic vibration damper, Bridge pier, Seismic response reduction, Two-degree-of-freedom systemAbstract
Bridges located in seismic regions are subjected to significant dynamic loads that may cause considerable forces in bridge piers and foundations. Traditional seismic design methods usually consider the span structure as a rigid mass transferring inertial forces to the supports. However, this approach does not account for the potential dynamic interaction between the span and the supporting structure. This study proposes a method for reducing seismic forces in bridge piers by using the span structure as a tuned dynamic system. In the proposed approach, the bridge span is considered as a dynamic vibration absorber interacting with the pier. A mathematical model based on a two-degree-of-freedom system is developed to describe the dynamic behavior of the bridge–pier system under seismic excitation. Parametric analysis is carried out to determine the optimal stiffness and damping parameters that minimize seismic forces in the pier. The results show that appropriate tuning of the span structure significantly reduces dynamic responses. In particular, the bending moment in the bridge pier can be reduced by up to 2.3 times compared with traditional seismic design approaches. The proposed method can be applied in seismic regions for improving the seismic performance and reliability of bridge structures.
References
[1] S.-Q. Li, P.-C. Chen, L.-L. Zheng, C. Zhang, P.-F. Qin, and G. Milani, “Seismic failure and risk estimation of reinforced concrete bridges considering fatigue and seismic intensity measures,” Reliability Engineering & System Safety, vol. 267, p. 111854, Mar. 2026, doi: 10.1016/j.ress.2025.111854.
[2] C. Raupov, A. Karimova, F. Zokirov, and Y. Khakimova, “Experimental and theoretical assessment of the long-term strength of lightweight concrete and its components under compression and tension, taking into account the macrostructure of the material,” E3S Web of Conferences, vol. 264, p. 02024, Jun. 2021, doi: 10.1051/e3sconf/202126402024.
[3] Y. Hong, L. Ye, and W. Xie, “Seismic fragility and resilience improvement of conventional bridges supported by double-column piers utilizing shear links,” Structures, vol. 57, p. 105309, Nov. 2023, doi: 10.1016/j.istruc.2023.105309.
[4] S. Salikhanov, Z. Pulatova, F. Zakirov, Z. Rahimjonov, and A. Abdullayev, “Determination of deformations and self-stress in concrete on stress cement,” E3S Web of Conferences, vol. 264, p. 02056, Jun. 2021, doi: 10.1051/e3sconf/202126402056.
[5] F. Temimi, A. Obaidi, and N. Ermoshin, “Seismic Resilience Assurance and Global Strategies for Highway Bridges,” 2026, pp. 45–59. doi: 10.1007/978-3-032-17317-1_4.
[6] M. Berdibaev, B. Mardonov, N. Nishonov, and Z. Rakhimjonov, “Beam vibration due movement of overweight cargoes on reinforced concrete bridges at different ground conditions,” E3S Web of Conferences, vol. 401, p. 01075, Jul. 2023, doi: 10.1051/e3sconf/202340101075.
[7] X. Xu et al., “Energy dissipation and seismic response reduction system for high-speed railway bridges based on multiple performance requirements,” Engineering Structures, vol. 307, p. 117919, May 2024, doi: 10.1016/j.engstruct.2024.117919.
[8] S. S. Salixanov, F. Z. Zokirov, Y. T. Xakimova, and G. B. Ismailova, “The effect of increasing loads on foundations of operating bridges,” E3S Web of Conferences, vol. 401, p. 01080, Jul. 2023, doi: 10.1051/e3sconf/202340101080.
[9] J. Wei, W. Liu, P. Gao, and Y. Ding, “An Analytical Dynamic Model for Vibration Suppression of a Multi-Span Continuous Bridge by Tuned Mass Dampers,” Journal of Marine Science and Engineering, vol. 11, no. 5, p. 1017, May 2023, doi: 10.3390/jmse11051017.
[10] A. A. Meibodi, N. A. Alexander, J. A. Norman, and A. J. Crewe, “A theoretical and experimental exploration of the seismic dynamics of multi-span bridges,” Bulletin of Earthquake Engineering, vol. 18, no. 9, pp. 4275–4298, Jul. 2020, doi: 10.1007/s10518-020-00864-6.
[11] K. A. V. Ilyichev, V.A., Nikiforova N.S., “A settlement calculation for neighbouring buildings with mitigation measures upon underground construction,” 2017.
[12] S.V. Medvedev, Engineering seismology. 1965.
[13] T. R. Rashidov and D. A. Bekmirzaev, “Numerical methods in the study of seismic dynamics of complex systems of underground pipelines,” Izvestiya MGTU MAMI, vol. 9, no. 4–4, pp. 100–105, Aug. 2015, doi: 10.17816/2074-0530-67073.
[14] A. M. UZDIN, L. N. SMIRNOVA, H. R. ZAINULABIDOVA, SH. SH. NAZAROVA, A. A. DOLGAYA, and A. A. NAZAROV, “THE EFFICIENCY OF SEISMIC ISOLATION DEPENDING ON THE TYPE OF DAMPER,” Structural Mechanics and Analysis of Constructions, no. 5, pp. 45–53, Oct. 2025, doi: 10.37538/0039-2383.2025.5.45.58.
[15] O. Fusakichi, “On the After-shocks of Earthquakes,” College of Science, Imperial University, 1894.
[16] M. D. Trifunac, “Biot response spectrum,” Soil Dynamics and Earthquake Engineering, vol. 26, no. 6–7, pp. 491–500, Jun. 2006, doi: 10.1016/j.soildyn.2006.01.004.
[17] A. I. Lawal, “A new modification to Mononobe-Okabe’s pseudo-static model for passive earth pressure prediction using homogeneous differential equation,” Mechanics Research Communications, vol. 116, p. 103760, Sep. 2021, doi: 10.1016/j.mechrescom.2021.103760.
[18] Y. F. Chen, “Rational and practical method for determination of seismic-induced earth pressure on non-yielding walls,” Journal of Structural Integrity and Maintenance, vol. 2, no. 1, pp. 48–59, Jan. 2017, doi: 10.1080/24705314.2017.1280587.
[19] V. A. Ismailov, S. I. Yodgorov, A. S. Khusomiddinov, E. M. Yadigarov, B. U. Aktamov, and S. B. Avazov, “Regional seismic risk assessment based on ground conditions in Uzbekistan,” Natural Hazards and Earth System Sciences, vol. 24, no. 6, pp. 2133–2146, Jun. 2024, doi: 10.5194/nhess-24-2133-2024.
[20] X. Chen, H. Ding, and C. Li, “A quasi-tuned-mass-damper design concept for mitigating the dynamic displacement demand of tall piers,” Soil Dynamics and Earthquake Engineering, vol. 155, p. 107172, Apr. 2022, doi: 10.1016/j.soildyn.2022.107172.
[21] P. Casini and F. Vestroni, “Mitigation of Structural Vibrations of MDOF Oscillators by Modal Coupling Due to Hysteretic Dampers,” Applied Sciences, vol. 12, no. 19, p. 10079, Oct. 2022, doi: 10.3390/app121910079.
[22] A. Uzdin, U. Shermukhamedov, Z. Rakhimjonov, and D. Gulomov, “Amplitude-frequency response of seismic-isolated highway bridges at different combinations of span links,” 2025, p. 030003. doi: 10.1063/5.0265098.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Ziyovuddin Rahimjonov, Fakhriddin Zokirov, Lintang Dian Artanti
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
- Abstract 17
- PDF (English) 7
