Abstract

Irregularities of the track are a main cause of train-induced ground vibration, and track maintenance is of great importance. Although geometric irregularities at the wheel-rail contact are widely used, other types of irregularities, such as stiffness irregularities, irregularities from different track positions and irregularities in the wave propagation, were analysed in the present study. The track behaviour was investigated by a multi-beam-on-soil model. This track model is coupled with a vehicle model to calculate the vehicle–track interaction. The track model was also used for the track filtering, which transfers a track support error to the equivalent rail irregularity or, conversely, the sharp axle pulse on the rail to a smoother pulse on the soil. In the case in which this filtering varies randomly along the track, the pulses of the moving static load induce a certain ground vibration component (“the scatter of axle pulses”). This effect was calculated by the superposition of axle pulses in the frequency domain and by a stochastic simulation. Simultaneous vehicle, track and soil measurements at a certain site were used to evaluate the different excitation and ground vibration components. The agreement between calculations and axle-box and soil measurements is good. The ground vibrations calculated from rail irregularities and corresponding dynamic loads, however, clearly underestimate the measured ground vibration amplitudes. Only the static load that is moving over a varying track support stiffness can produce the important mid-frequency ground vibration component by the scatter of axle pulses.

Highlights

  • Irregularities are the main source if excitation of train-induced ground vibrations, which are in the frequency range of 4 to 100 Hz

  • The dynamic axle loads are proportional to the wheelset mass for frequencies up to 64 Hz

  • Formulas were given in the frequency-wavenumber domain, and example transfer functions were calculated

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Irregularities are the main source if excitation of train-induced ground vibrations, which are in the frequency range of 4 to 100 Hz (maximal 250 Hz). Irregularities can be divided into vertical, horizontal, rotational and gauge errors; vehicle and track irregularities; and low-frequency alignment errors and high-frequency roughness errors, where the areas of interest of the present article are underlined. The irregularities are presented as wavelength or wavenumber spectra. The track errors in the present article are based on own axle-box measurements at a ground vibration measurement site [4]. The article is focused on the mid-frequency range of 8 to 30 Hz, which is usually the dominant ground vibration in the mid and far field

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