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Dynamic Analysis of Multi-layer Beam Structure of Rail Track System Under a Moving Load Based on Mode Decomposition

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Abstract

Purpose

In this study, the dynamic responses of railway track multi-layer beam structure system under a moving load, which is connected by Winkler springs, are analyzed.

Procedure

It is noted that since track structure beams with consistent boundary conditions in mathematical sense have the same mode, the mode decomposition can be carried out in the same way. By adopting this approach, the dynamic coupling equations of track structure multi-layer beam system with the same vibration mode under a moving load can be decoupled. The closed vibration solutions of the displacement of the beams at each layer of the track system are presented and some are obtained by observing the form of solutions.

Results

The track structure multi-storey beam system model can be further used in the analysis of track system structural displacement, as well as the high-speed railway system and railway-bridge coupled system dynamics.

Conclusion

It is found that the multi-layer system of CRTS-II simply supported beam bridge system and CRTS-II track system can be degenerated into triple simply supported beams with Winkler connection and double free beams on Winkler foundation, which is of great significance to engineering practice.

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Data availability

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

The work described in this paper is supported by grants from the National Natural Science Foundation of China (Grant No. 11972379, U1934207, 51778630), Central South University (Grant Nos. 502045006, 502390001 and innovation-driven 502501006), University students' innovation and entrepreneurship Project (No. 2020105330035), Hunan Key R&D Project (Grant No. 2020SK2060) and Hunan 100-talent plan (420030004), the Systematic Project of Guangxi Key Laboratory of Disaster Prevention and Structural Safety and Engineering Research Center for Seismic Disaster Prevention and Engineering Geological Disaster Detection of Jiangxi Province, Open fund from Engineering Research Center for Seismic Disaster Prevention and Engineering Geological Disaster Detection of Jiangxi Province (SDGD202001), and National Natural Science Foundation Excellent Youth Cultivation Project (Grant No. 20202ZDB01001).

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Authors and Affiliations

  1. School of Civil Engineering, Central South University, Changsha, 410075, Hunan, China

    Lizhong Jiang, Chao Liu & Ping Xiang

  2. Engineering Research Center for Seismic Disaster Prevention and Engineering Geological Disaster Detection of Jiangxi Province, East China University of Technology, Nanchang, 330013, China

    Ping Xiang

  3. College of Civil Engineering and Architecture, Guangxi University, Nanning, 530004, China

    Linxin Peng

  4. Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Guangxi University, Nanning, China

    Linxin Peng

  5. Department of Civil Engineering, East China Jiaotong University, Nanchang, China

    Jianwei Yan

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  1. Lizhong Jiang
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Correspondence to Ping Xiang.

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Jiang, L., Liu, C., Peng, L. et al. Dynamic Analysis of Multi-layer Beam Structure of Rail Track System Under a Moving Load Based on Mode Decomposition. J. Vib. Eng. Technol. 9, 1463–1481 (2021). https://doi.org/10.1007/s42417-021-00308-8

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