Analytic Method for Vibration Analysis of Track Structure Induced by HighSpeed Train

Nowadays, the increase in heavy freight rail transport and high-speed train (HST) operations has encouraged scientists to investigate the dynamic response of rail structures under moving load using analytically and numerically computational methods. In this study, to analyse vibration of rail structure, the rail has been modelled as continuous Euler-Bernoulli elastic beam system. The effects of some basic parameters such as track foundation elasticity modulus, rail stiffness, wheel set axle load and rail critical velocity which affect rail vibrations, on vibrations were examined in detail by considering different track foundation properties. The vibration wave amplitude increases as the train speed approaches the rail infrastructure critical speed.

___

[1] S.L. Knothe, K.L; Grasssie, Modelling of railway track and vehicle/track interaction at high frequencies, Veh. Syst. Dyn. 22 (1993) 209–262.

[2] Z.P. Zeng, Z.W. Yu, Y.G. Zhao, W.T. Xu, L.K. Chen, P. Lou, Numerical simulation of vertical random vibration of train-slab track-bridge interaction system by PEM, Shock Vib. 2014 (2014).

[3] Y.H. Chen, Y.H. Huang, C.T. Shih, Response of an infinite tomoshenko beam on a viscoelastic foundation to a harmonic moving load, J. Sound Vib. 241 (2001) 809–824. doi:10.1006/jsvi.2000.3333.

[4] B. Biondi, G. Muscolino, A. Sofi, A substructure approach for the dynamic analysis of train-track-bridge system, Comput. Struct. 83 (2005) 2271–2281. doi:10.1016/j.compstruc.2005.03.036.

[5] E. Celebi, G. Schmid, Investigation of ground vibrations induced by moving loads, Eng. Struct. 27 (2005) 1981–1998. doi:10.1016/j.engstruct.2005.05.011.

[6] M. Hetenyi, Beams on elastic foundation: Theory with applications in the fields of civil and mechanical engineering, University of Michigan Press, 1946.

[7] D.G. Duffy, The response of an infinite railroad track to a moving, vibrating mass, J. Appl. Mech. 57 (1990) 66–73.

[8] S.L. Grassie, S.J. Cox, The Dynamic Response of Railway Track With Flexible Sleepers to High Frequency Vertical Excitation, Proc. Inst. Mech. Eng. , Part I J. Syst. Control Eng. 198 (1984) 117–124. doi:10.1243/PIME.

[9] S. Iwnicki, Handbook of railway vehicle dynamics, 2006. doi:10.1201/9781420004892.

[10] A.P. De Man, Pin-pin resonance as a reference in determining ballasted railway track vibration behaviour, Heron. 45 (2000) 35–52.

[11] D.J. Thompson, Railway noise and vibration: mechanisms, modelling and means of control., Elsevier Science, Oxford, 2009.

[12] S.L. Grassie;, R.W. Gregory;, K.L. Johnson;, The dynamic response of railway track to high frequency vertical excitation., J. Mech. Eng. Sci. 24 (1982) 77–90.

[13] G.A. Hunt, Dynamic analysis of railway vehicle/track interaction forces, Loughborough University of Technology, 1986.

[14] W. Zhai, Vehicle – Track Coupled Dynamics, n.d.

[15] L. Fryba, Vibration solids and structures under moving loads, Thomas Telford House, 1999.

[16] M.E. Heelis, A.C. Collop, A.R. Dawson, D.N. Chapman, V.V. Krylov, Transient effects of high speed trains crossing soft soil, in: 12th Eur. Conf. Soil Mech. Geotechincal Eng., Amsterdam, 1999: pp. 1809–1814.