A Time-Domain Model for the Study of High-Frequency Wheelset–Track Interaction
Tóm tắt
A mathematical model of dynamic wheelset–track interaction is proposed in this paper. The model is defined in the time domain in order to introduce and correctly evaluate nonlinear and time-variant phenomena related to the contact model and boundary conditions which play a very important role in rail surface degradation phenomena. The complete model can be divided into three main components: the model of the wheelset, the model of the track and the model of wheel–rail contact forces. In the paper, the wheelset is described as a rotating flexible body, and the gyroscopic and inertial effects associated with wheelset rotation are introduced to this model using an ‘Eulerian’ finite element approach based on 3D quadratic solid elements. The discrete supported track is modelled using finite Timoshenko beam element, which takes into account both the vertical and the lateral rail vibration valid up to 1500 Hz. The wheelset and the track are coupled by means of a contact model based on the nonlinear Hertz and Kalker theories. The flexible components of the interaction model make it possible to describe the train–track dynamics in a relatively high-frequency range, which allows the investigation of specific aspects such as rail corrugation. Some numerical results are presented in terms of contact forces and rail–wheel vibration speed in the paper. The effect of wheelset and track flexibility in specific frequency range on train–track interaction dynamics is briefly discussed.
Tài liệu tham khảo
Thompson D (2008) Railway noise and vibration: mechanisms, modelling and means of control. Elsevier, London
Sun W, Zhou J, Thompson D, Gong D (2014) Vertical random vibration analysis of vehicle–track coupled system using Green’s function method. Veh Syst Dyn 52(3):362–389
Thompson D, Jones C (2000) A review of the modelling of wheel/rail noise generation. J Sound Vib 231(3):519–536
Knothe K, Grassie S (1993) Modelling of railway track and vehicle/track interaction at high frequencies. Veh Syst Dyn 22(3–4):209–262
Arnold J, Kaiser I, Schupp G (2005) Simulation of a railway vehicle’s running behaviour: how elastic wheelsets influence the simulation results. Veh Syst Dyn 41:242–251
Gómez J, Vadillo E, Santamaría J (2006) A comprehensive track model for the improvement of corrugation models. J Sound Vib 293(3):522–534
Kaiser I, Popp K (2006) Interaction of elastic wheelsets and elastic rails: modelling and simulation. Veh Syst Dyn 44(sup1):932–939
Baeza L, Fayos J, Roda A, Insa R (2008) High frequency railway vehicle–track dynamics through flexible rotating wheelsets. Veh Syst Dyn 46(7):647–659
Zhai W, Wang K (2010) Lateral hunting stability of railway vehicles running on elastic track structures. J Comput Nonlinear Dyn 5(4):1–9
Baeza L, Ouyang H (2011) A railway track dynamics model based on modal substructuring and a cyclic boundary condition. J Sound Vib 330(1):75–86
Baeza L, Vila P, Xie G, Iwnicki SD (2011) Prediction of rail corrugation using a rotating flexible wheelset coupled with a flexible track model and a non-Hertzian/non-steady contact model. J Sound Vib 330(18):4493–4507
Di Gialleonardo E, Braghin F, Bruni S (2012) The influence of track modelling options on the simulation of rail vehicle dynamics. J Sound Vib 331(19):4246–4258
Kaiser I (2012) Refining the modelling of vehicle–track interaction. Veh Syst Dyn 50(sup1):229–243
Martínez-Casas J, Mazzola L, Baeza L, Bruni S (2013) Numerical estimation of stresses in railway axles using a train–track interaction model. Int J Fatigue 47:18–30
Shabana AA (2013) Dynamics of multibody systems. Cambridge University Press, Cambridge
Brown M, Shabana A (1997) Application of multibody methodology to rotating shaft problems. J Sound Vib 204(3):439–458
Francesco R, Roberto A, Bruni S (2007) A time domain model for the study of high frequency train–track interaction. Paper presented at the 7th international conference on railway bogies and running gears, Budapest
Petyt M (2010) Introduction to finite element vibration analysis. Cambridge University Press, Cambridge
Johnson KL, Johnson KL (1987) Contact mechanics. Cambridge University Press, Cambridge
Kalker JJ (1990) Three-dimensional elastic bodies in rolling contact, vol 2. Kluwer, Amsterdam