Study on dynamic response of track structures under a variable speed moving harmonic load
Yan Zhang1, Yan Qi Liu2, Chun Fang Song3, Long Long Xu4
1, 3, 4School of Mechanical Engineering, Jiangnan University, Wuxi, China
2Key Laboratory of Environment Noise and Vibration, Beijing Municipal Institute of Labor Protection, Beijing, China
E-mail: email@example.com, firstname.lastname@example.org, email@example.com, firstname.lastname@example.org
Abstract. Basing on the dynamic response characteristics of the periodic structure under a moving harmonic load in frequency domain and the superposition principle, the dynamic response of track structure under variable speeds moving harmonic load is investigated. Firstly, the track is simplified as an Euler beam model periodically supported by continuous discrete point, the dynamic differential equation of vertical vibration for the track structure is formulated. Secondly, for convenience of analysis, the analytical expression for the amplitude-frequency response of any point on the track structure under the moving harmonic load is derived in frequency domain. Based on the theory of the infinite periodic structure, the dynamic responses of the track structure under the variable speed moving harmonic load are analyzed theoretically. Finally, the influences of velocity and acceleration on the dynamic response of track structure are numerically analyzed in detail. The research results indicate that the amplitude-frequency response peaks of the track under moving harmonic load with variable and constant speeds occur near the excitation frequency. The displacement response of the track increases slightly with increase of the acceleration, and the variation trend of dynamic response is basically similar. The vibration displacement response of the rail can be effectively improved by increasing the initial velocity of the moving harmonic load, while the peak value of amplitude-frequency response remained constant.
Keywords: moving harmonic load, track structure, vibration, periodic structure, dynamic response.
 Connolly D. P., Kouroussis G., Laghrouche O. Benchmarking railway vibrations – track, vehicle, ground and building effects. Construction and Building Materials, Vol. 92, 2015, p. 64‑81.
 Zhang D., Li X. Analysis and application of vertical dynamic response of simply supported beam bridge under moving harmonic load series. Chinese Journal of Applied Mechanics, Vol. 31, Issue 1, 2014, p. 144‑149.
 Li X., Zhang Z., Liu Q. Vertical dynamic response analysis of a simply supported beam bridge under successive moving loads. Journal of Vibration and Shock, Vol. 31, Issue 20, 2012, p. 137‑142.
 Sun W., Zhou J., Thompson D. Vertical random vibration analysis of vehicle-track coupled system using Green's function method. Vehicle System Dynamics, Vol. 52, Issue 3, 2014, p. 362‑389.
 Xia H., Zhang N., Roeck G. D. Dynamic analysis of high speed railway bridge under articulated trains. Computers and Structures, Vol. 81, Issue 26, 2003, p. 2467‑2478.
 Hussein M. F. M., Hunt H. E. M. A numerical model for calculating vibration due to a harmonic moving load on a floating-slab track with discontinuous slabs in an underground railway tunnel. Journal of Sound and Vibration, Vol. 321, Issues 1‑2, 2009, p. 363‑374.
 Belotserkovskiy P. M. On the oscillations of infinite periodic beams subjected to a moving concentrated force. Journal of Sound and Vibration, Vol. 193, Issue 3, 1996, p. 705‑712.
 Sheng X., Zhong T., Li Y. Vibration and sound radiation of slab high-speed railway tracks subject to a moving harmonic load. Journal of Sound and Vibration, Vol. 395, 2017, p. 160‑186.
 Shi L., Cai Y., Wang P. A theoretical investigation on influences of slab tracks on vertical dynamic responses of railway viaducts. Journal of Sound and Vibration, Vol. 374, 2016, p. 138‑154.
Cite this article
Zhang Yan, Liu Yan Qi, Song Chun Fang, Xu Long Long Study on dynamic response of track structures under a variable speed moving harmonic load. Vibroengineering PROCEDIA, Vol. 14, 2017, p. 214‑219.
© JVE International Ltd. Vibroengineering PROCEDIA. Oct 2017, Vol. 14. ISSN 2345-0533