Abstract
The rail was considered as double Timoshenko beam in this paper, applied to the vehicle track coupling dynamics model; the Hertz nonlinear method is used to calculate the wheel rail contact force. Wheel rail vertical force and response of vehicle are calculated by using the model under random irregularity and single harmonic excitation; at the same time, wheel rail force and vertical acceleration response of 3-order, 10-order, and 19-order wheel polygon were calculated. The results show that, under the excitation of random irregularity, the wheel rail vertical force of two models was very close in the low frequency band, and the response of the double beam model in the high frequency band of 200–1000 Hz is larger than the single beam model, and the acceleration and displacement responses of the double beam model are relatively close. Under a single harmonic excitation, the double beam model has a shorter wheel rail force attenuation time than that of the single beam model. And wheel rail force peak value of double beam model is 9% larger than that of single beam model. Similarly, the vertical displacement of the double beam model increased by 2.6%. Under the 3-order and 10-order wheel polygon excitation, vertical wheel rail peak force of double beam is, respectively, 37.5% and 50% larger than single beam model; the vertical frame acceleration amplitude is 1 g and 1.7 g; under the 19-order polygon wheel excitation, the difference of the wheel rail force between two models is very small, and the amplitude of acceleration of bogie is 2.3 g. And double beam model has more advantage in analyzing high frequency problems such as wheel polygonization.
Highlights
Train vehicle system and track system are interaction and coupling systems [1]
MartınezCasas et al use a 3D track model based on the Moving Element Method (MEM) which is developed to replace the Timoshenko beam considered in earlier studies, adopting cyclic boundary conditions and Eulerian coordinates
Rails are assumed to be Timoshenko beams supported by discrete sleepers, and the effects of vertical and lateral motions and rail roll on wheel/rail creepage are taken into account, but this did not explore the high frequency problems [5]
Summary
Train vehicle system and track system are interaction and coupling systems [1]. A lot of researches have been done on the dynamics of vehicle track coupling system. Some scholars have studied the high frequency vibration characteristics of vehicle track system, mainly through the finite element or single layer Timoshenko beam model to calculate the corresponding vehicle response and wheel rail force response. Comparative analysis with Euler beam model, Timoshenko beam model is superior to the Euler model in case of exploring high frequency vibration of vehicle track system [7]. Wu et al consider the track model is formulated with two rails supported on the discrete supports through the finite element method and analysis of the sleeper-passing-induced flexible vibration of wheel set [8]. For the double beam model, we will consider the track as double Timoshenko beam and response of track system expression of the calculation, and finite element models are compared to verify that its accuracy is higher than single beam model in high frequency [10]. Due to the emergence of some high frequency excitations such as wheel polygon, the characteristics of the double Timoshenko beam model need further exploration
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