Numerical Modelling of Train Induced Vibrations

Abstract

International audienceIn this paper 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 considered vehicle model consists of 7 two-dimensional discrete elements connected by spring/damper couples. The rail is modeled as finites beam elements connected to sleepers by pads areas. Supporting substructure consisting of pads, sleepers, ballast and foundation, is modelled as discrete elements. Components are connected each to others by spring/damper couples. Vertical profile of rail is considered as sum of trigonometric functions with phase and amplitude generated by a pseudo random process. The dynamic interaction between the wheel-sets and the rail is accomplished by using the nonlinear 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 validations show how prediction fits well experimental data

Suppression of Ground Borne Vibration Induced by High-Speed Lines

“…For example, Zhang et al [15] used two-dimensional analytical model as the effect of one unsupported sleeper on the other sleeper is required to be known. For investigation into wheel and track interactions as in the case of Ferrara et al [16] where a new numerical model to simulate the wheel/track irregularity vibrations is presented and in the case of Nielsen et al [9] where the vibration and the force impacts caused by damaged wheels are investigates, a non-linear Hertzian theory is used would also mean a twodimensional calculation. As for Dwight et al [10] which compares the Timoshenko continuous beam theory with semi-analytical finite element (SAFE) calculations uses threedimensional modelling as the lateral in addition to vertical movement of the beam in investigated.…”

“…This is challenging for the ballast where a small volume is required to be isolated to study the effects of vibration. The effort was simplified with the analytical data from Ferrara et al [16] and Zhai et al [19]. Table 1 shows the properties of different components.…”

“…This geometry takes in account of the load distribution. Stiffness is calculated by the formula provided by Ferrara et al [16].…”

Development of a vehicle–track interaction model to predict the vibratory benefits of rail grinding in the time domain

“…According to previous works, as those carried out by Jin et al [5], Ferrara et al [17], or Uzzal et al [18], the vehicle is simplified to a single wagon of two bogies and four axles. Only the primary suspension is considered.…”

A Mathematical Model and Simulation Results of the Dynamic System Railway Vehicle Wheel–track With a Wheel Flat / Dinaminės Sistemos „geležinkelių Vagono Ratas – Kelias“ Su Rato Iščiuoža Matematinis Modelis Ir Modeliavimo Rezultatai

“…The mathematical model of railway vehicle wheels and a track (Ferrara et al 2012) has been designed to explore the dynamics of the railway vehicle.…”