Numerical Analysis of the Influence of Prestressed Steel Wires on Vehicle-Bridge Coupling Vibration of Simply Supported Beams on High-Speed Railway




simple beam in high-speed railway, vehicle-bridge coupling vibration, prestressed steel wires, effective prestress, eccentricity of steel wires, self-compiled program


By the theory of vehicle-bridge coupled vibration analysis in railways, the dynamic analysis model for space of the train-track-bridge-steel wires coupled system was established. Moreover, a corresponding program was compiled based on the train-track-bridge-steel wires coupling vibration analysis method. Taking a 32 m simple beam which is in high-speed railways as the subject of study, the influence of effective prestress, steel wires eccentricity and vehicle speed on the dynamic response of the vehicle-bridge coupled vibration was analysed. The results show that the bridge dynamic response is remarkably influenced by prestressed steel wires. With the prestress increasing, the crest of the vertical dynamic response at the midspan decreased first, then increased. Moreover, the minimum peak value appeared when the prestress was 1300 MPa. When the steel wires were deflected downward relative to the design position, the vertical displacement of the bridge decreased by more than when the downshift occurred. The extreme values of the bridge lateral dynamic response and the train body acceleration response appeared when the train ran at 300 km/h. Prestressed steel wires had little effect on the dynamic response in the transverse direction of the bridge and train body.


Bonopera, M., Chang, K. C., Chen, C. C., Sung, Y. C., & Tullini, N. (2019). Experimental study on the fundamental frequency of prestressed concrete bridge beams with parabolic unbonded tendons. Journal of Sound and Vibration, 455, 150–160.

Bruzelius, F., Nielsen, J. C. O., & Landén-Hillemyr A. (2020). Advances in Dynamics of Vehicles on Roads and Tracks. In Proceedings of the 26th Symposium of the International Association of Vehicle System Dynamics, IAVSD 2019, Gothenburg, Sweden.

Chen, A. S. (2012). Vehicle-bridge coupling analysis of prestressed simply supported beam. MSc Thesis, Jilin University. detail.aspx?dbcode=CMFD&dbname=CMFD2012&filename=1012367986.nh&uniplatfor-m=NZKPT&v=tP4VmI4FUTyUGz6FfV8Jhn1zJJwVgjqGJSi1Vd8 GDCkixOY3ZPbvg0NHsHHCCp63

Chen, D. H. (2011). Study on dynamic response and vibration control of vehicle-bridge coupling system under earthquake. Dissertation, Central South University. aspx?dbcode=CDFD&dbname=C-DFD1214&filename=1012474095.nh&uniplatform=NZKPT&v=CYQ49dWlq%25mmd2FoF1HfxmnH3KgwvyCYoN4jdwezKvpKxQ%25mmd2FxbESyiyMNRw%25mmd2F%25mmd2BL4sW%25mmd2 Bijwg

China Railway Engineering Design and Consulting Group Co. (2013). Ltd. General reference drawing for railway engineer-ing construction-350 kilometers per hour high-speed rail-way precast ballastless track post-tensioned prestressed concrete simply supported box girder (double track). Economic Planning and Research Institute of the Ministry of Railways (Beijing).

Dall’Asta, A., & Dezi, L. (1996). Discussion of “Prestress force effect on vibration frequency of concrete bridges”. Journal of Structural Engineering, 122(4), 458–458.

Dong, C. J., Liu, S. Z., & Li, A. J. (2018). Influence of prestressing effect on dynamic characteristics of prestressed concrete simply supported beams. Journal of Lanzhou Jiaotong University, 37(05), 13–37. detail/detail.-aspx?dbcode=CJFD&dbname=CJFDLAST2018&filename=LZTX 201805003&v=6nrNRGmUw0x8EYos6iFM6Gv72Rj9s3xVMfk%25mmd2Buls PUHGMtPb1KEFZhqh13HkuOrJl.

Fang, D. P. (2020). Dynamic behavior of externally prestressed continuous beam considering second-order effect. Mathematical Problems in Engineering, 2020(1), 1–9.

Guo, K. Q., Jia, Y. M., Yu, G. L., Wang, J. W., & Zhang, G. H. (2018). Study on the natural vibration frequency of a simply supported beam with linear unequal length prestressed tendons. Journal of Vibration and Shock, 37(17), 230–235. cPbABy3E8RUkmGNoVChvDXO

Ghaemdoust, M. R., Wang, F., Li, S., & Yang, J. (2021). Numerical investigation on the transverse vibration of prestressed large-span beams with unbonded internal straight tendon. Materials, 14(9), 2273.

Li, P., Huan, S., Tan, X. Q., & Tao, W. J. (2018). Research on natural frequency of prestressed simply supported beam. J. Guangzhou Univ., Nat. Sci. Ed., 17(02), 55–60. aspx?dbcode=CJFD&dbname=CJFDL-AST2018&filename=GUDZ201802010& v=CA5xBAx2h8DFEC1XXag1VoMWhOv0y9x3JdqJXhcKsmvu2eCRblw1i8nIS¬44dqwCy

Noble, D., Nogal, M., O’Connor, A. J., & Pakrashi, V. (2014). The effect of prestress force magnitude on the natural bending frequencies of prestressed concrete structures. In Proceedings of the 23rd Australasian Conference on the Mechanics of Structures and Materials (ACMSM23), Byron Bay, Australia.

Peng, L., & Wang, Y. (2021). Differential quadrature method for vibration analysis of prestressed beams. E3S Web of Conferences, 237, 03029.

Ren, X., Tan, X., Qi, H. P., & Ma, M. (2018). Analysis of dynamic characteristics and influencing factors of prestressed concrete continuous beam bridge. J. Chongqing Jiaotong Univ., Nat. Sci., 37(10), 8–12.

Saiidi, M., Douglas, B., & Feng, S. (1994). Prestress force effect on vibration frequency of concrete bridges. Journal of Structural Engineering, 120(7), 2233–2241.

Toyota, Y., Hirose, T., Ono, S., & Shidara, K. (2017). Experimental study on vibration characteristics of prestressed concrete beam. Procedia Engineering, 171, 1165–1172.

Wang, X.M. (2007). ANSYS Engineering Structure Numerical Analysis. Beijing: China Communication Press.

Xia, H., Zhang, N., & Guo, W. W. (2018). Dynamic Interaction of Train-Bridge Systems in High-Speed Railways. Springer.

Xiao, Y. (2018). Analysis of natural vibration characteristics of typical bridge structures on existing heavy haul railway. J. East China Inst. Technol., Nat. Sci., 41(03), 282–288.

Xiang, C. Q. (2015). Study on the dynamic response and optimal wind barrier parameters of the following vehicle-track-bridge coupling system under strong crosswind. Dissertation, Central South University.

Xiang, Y. Q., Qiu, Z., & Bishnu, G. G. (2017). Natural frequency analysis of externally prestressed steel-concrete composite beams considering slippage effect. J. Southeast Univ. (Chin. Ed.), 47(1), 107–111.

Xu, Y., Yang, Z. H., Shen, P., & Wang, X. B. (2019). Influence of different eccentric distance and prestress level on fundamental frequency of simply supported beam. J. Highw. Transp. Res. Dev. (Chin. Ed.), 15(07), 237–238.

Yu, X. Z. (2012). Natural frequency analysis of prestressed simply supported beam. MSc Thesis, Dalian Maritime University. (In Chinese) https://kns.cnki. net/kcms/detail/detail.aspx?dbcode=CMFD&dbname=CMFD2012&filen ame=1012342031.nh&-uniplatform=NZKPT&v=POmTXkP70mFPLJKf4N9lAZ G6Pk1PGo8Ox9nxlbF9d4qu7VH1toKd%25mmd2F6gMypIga9tw

Zhao, Y., Jia, R. M., Wang, R., & Wang, J. W. (2019). Analysis of influencing factors of natural vibration frequency of three-span prestressed continuous steel box girder. Steel Construction (Chinese & English), 34(07), 75–79.

Zhong, C. L., Liang, D., Zhang, Y. L., & Wang, J. (2020). Calculation of natural vibration frequency of externally prestressed steel-concrete composite simply supported beam. J. Jilin Univ., Eng. Technol. Ed., 50(6), 2159–2166. (In Chinese)




How to Cite

Chen, D., Wan, Y., Xu, S., Li, Z., & Fang, Y. (2022). Numerical Analysis of the Influence of Prestressed Steel Wires on Vehicle-Bridge Coupling Vibration of Simply Supported Beams on High-Speed Railway. The Baltic Journal of Road and Bridge Engineering, 17(3), 66-91.