Theoretical Model of the Dynamic Interaction Between Wagon Train and Continous Rail (original) (raw)

A dynamic model for the vertical interaction of the rail track and wagon system

International Journal of Solids and Structures, 2002

With the advent of high-speed trains, there is a renewed interest in the rail track-vehicle interaction studies. As part of an ongoing investigation of the track system optimisation and fatigue of the track components, a dynamic model is developed to examine the vertical interaction of the rail track and the wagon system. Wagon with four wheelsets representing two bogies is modelled as a 10 degree of freedom subsystem, the track is modelled as a four-layer subsystem and the two subsystems are coupled together via the non-linear Hertz contact mechanism. The current model is validated using several field test data and other numerical models reported in the literature by other researchers. Ó

Numerical Modelling of Train Induced Vibrations

Procedia - Social and Behavioral Sciences, 2012

A numerical model to predict train induced vibration is presented. The dynamic computation considers mutual interactions in vehicle/track coupled systems by means of a finite and discrete elements method. The rail defects and the case of out-of-round wheels are considered. The dynamic interaction between the wheel-sets and the rail is accomplished by using the non-linear Hertzian theory. The strong point of this study consists in the model used to simulate the behaviour of pads. The rail-sleeper contact is assumed extended to an area defined such a contact-zone, rather than a single point assumption which fits better real case studies. Experimental and numerical validations show how prediction fits well experimental data.

A Model of Dynamic Interaction Between a Train Vehicle and a Rail Track

2007

In recent years, high speed and heavy load technology have been the main trend in the world railway. Some problems about the dynamic interaction and vibration of the vehicle-rail track system have also constituted a relevant research area. The increase of the operating speed and of the heavy load involves high and higher mechanical performances of the rail track; this increase causes a dynamic stress rise that also means higher level of noise and vibrations. In this paper it has been proposed a model of dynamic interaction between a train vehicle and a rail track. The considered vehicle model is supported two double-axle bogies at each end and is described as a 10 degree of freedom system; the rail track as a finite long beam discretely supported at three layers of elasticity. The dynamic interaction has been obtained by calculating the wheel-rail contact force depending on vertical irregularity function. Such function, described as an ergodic random stationary Gauss process, has be...

Analytical model of the dynamics of railway sleeper

2017

The periodically supported beam is an analytical model of the dynamics of a railway track, where each rail together with its supports (sleepers) is independent of the other one. However , the sleepers connect the two rails and their behaviour could influence the response. This study develops an analytical model for this type of track by considering the sleepers as Euler-Bernoulli beams resting on a visco-elastic foundation. By using a relation between the reaction forces and displacement of the periodically supported beam [1], we can obtain a dynamic equation of a sleeper based on Dirac delta distribution. Then, the response of the sleepers can be obtained by using the Green function. This model is a fast method to calculate the dynamic responses of railway sleepers and track.

Simulation of Dynamic Interaction between the Railway Bogie and the Track in the Medium Frequency Range

Multibody System Dynamics, 2001

In the present paper, the dynamicinteraction between a bogie of a modern railwaypassenger car and a track is considered with the helpof a discrete-continuous mechanical model. This modelenables us to investigate the bending-torsional-axialvibrations of the wheelsets coupled with the verticaland lateral vibrations of the track through thewheel-rail contact forces. The numerical results areobtained in the form of frequency response functionsfor

RAILWAY TRAFFIC VIBRATIONS: GENERATION AND PROPAGATION - THEORETICAL ASPECTS

The interest in vibrations due to railway traffic is increasing in all developed countries, and it requires to develop both experimental and theoretical studies. In fact, innovative track can reduce the transmission of vibrations toward buildings and people, but also a better knowledge of the physical phenomenon can be useful to apply other methodologies, like a better control of contact surface characteristics. Theoretical mechanical models, based on the analysis of dynamic interaction between wheel and rail, and between track and formation soil, are the key tool to understand the phenomenon and evaluate interventions. In the paper, after a review of principles of vibration theory, two different calculation models are presented: the first one is a mathematical model for the analysis of dynamic loads caused by rail and wheel irregularities, the second one is useful to study the transmission of vibrations in the railway track and soil. The models, which can be used in sequence, are valid for various applications, in particular concerning the analysis of the role of different system components (wheels, rail, track) and their importance in the generation and propagation problems of railway vibrations.

Nonlinear Vibration of Axially Loaded Railway Track Systems Using Analytical Approach

Journal of Low Frequency Noise, Vibration and Active Control

In this paper, the nonlinear vibration of railway track systems resting on elastic foundation has been studied. An axially loaded simply supported Euler–Bernoulli beam resting on a flexible foundation has been considered to provide a mathematical representation of the railway track system. Winkler springs have been used to model the elastic foundation. Nonlinear partial differential equation of the system has been presented and solved. A new approximate analytical solution called Improved Amplitude–Frequency Formulation (IAFF) is proposed to obtain nonlinear frequency of the system and an accurate analytical solution for the whole domain. The first iteration of the IAFF leads to a highly accurate solution in comparison with the exact frequency of the problem. The exact frequency of the problem is also presented, and the results of IAFF are compared and verified. Sensitive analysis of the soil stiffness and loading condition is studied for different parameters. A full comparison of t...

Dynamic Analysis of Wheel/rail Interaction Using Finite Element Method

The dynamic interaction of wheel and rail is a key problem in a railway system. Vibration of the whole system is very noteworthy in terms of the service-life of the components, driving safety and passenger comfort. With the increasing speed of rail carriages it is a vital problem that should be analysed before designing of railway components including the bogies, wheel sets, rails, pads, sleepers and ballast. In this study, the dynamic interaction of the wheel and rail in a railway system has been studied. The dynamic model of the vehicle body, a freight bogie and the truck systems of UIC60 rail were modelled and analysed using an explicit method with a commercial FE software considering the real parameters of the vehicle and truck for a vehicle speed of 72 km/h. An artificial defect has been also formed on the head of the rail in order to compare the effects of the dynamic interaction of it with the smooth rail. Analyses results were given for the both cases and then the formation mechanism of corrugation was discussed in terms of short and long pitch wave vibration behaviour of the truck.

A numerical model to predict train induced vibrations and dynamic overloads

2013

A numerical model to predict train induced vibrations is presented. The dynamic computation considers mutual interactions in vehicle/track coupled system by means of a finite and discrete elements method. The vehicle is modeled by 7 bi-dimensional rigid elements representing: the body, the two boogies and the four wheels. The railway is discretized as finite Timoshenko beam elements. Axial deformation is assumed insignificant. The substructure is made-up of: rail-pads, sleepers, ballast, and background. Rail-pads are modeled as spring/damper couples without mass and sleepers are modeled as rigid elements. The rail-sleeper contact is assumed extended to a connection-area, rather than a single point assumption. To model this area many spring/damper couples are disposed along the length of sleepers. The ballast is modeled as blocks of mass made-up of rigid elements, connected to sleeper by spring/damper couples. To allow the transmission of vibrations in longitudinal direction too, spr...