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An efficient model for predicting the sound radiation from a railway rail accounting for cross-section deformation

An efficient model for predicting the sound radiation from a railway rail accounting for cross-section deformation
An efficient model for predicting the sound radiation from a railway rail accounting for cross-section deformation
The track is the main contributor to railway rolling noise below 2 kHz. In this frequency range it is usually acceptable to represent the rail vibration using a Timoshenko beam. At higher frequencies, however, cross-section deformation occurs in the rail, which requires more complex track models. In this paper a vibroacoustic 2.5D Finite Element and Boundary Element model of a continuously supported rail is implemented for studying the effect of cross-section deformation on sound radiation. A novel interpolation strategy is developed to significantly reduce the solution time by interpolating element coefficient vectors. Results are calculated for vertical or lateral excitation applied to the rail head and comparisons are made with a Timoshenko beam model in which the cross-section remains undeformed. For vertical excitation, the sound power from both models is identical below 3 kHz, while for lateral excitation, the Timoshenko beam has differences of up to 25 dB below 200 Hz owing to the missing rail torsion and foundation eccentricity. Above 3 kHz for vertical excitation and from 1 kHz for lateral excitation, higher-order waves contribute to the sound power, causing an underestimation of up to 15 dB if the cross-section deformation is neglected. The calculated transfer functions of rail sound power per unit squared force are incorporated in a rolling noise prediction model that includes vertical and lateral dynamics. The results show that the Timoshenko beam rail underestimates the rail sound power by up to 5 dB in comparison with the 2.5D rail model in one-third octave bands.

2.5D Boundary Elements, 2.5D Finite Elements, Timoshenko beam, rail sound radiation, rail vibration, rolling noise
0022-460X
Knuth, Christopher
bf51df4d-f96c-4d73-9af5-fa6ed4c6ae59
Squicciarini, Giacomo
c1bdd1f6-a2e8-435c-a924-3e052d3d191e
Thompson, David
bca37fd3-d692-4779-b663-5916b01edae5
Knuth, Christopher
bf51df4d-f96c-4d73-9af5-fa6ed4c6ae59
Squicciarini, Giacomo
c1bdd1f6-a2e8-435c-a924-3e052d3d191e
Thompson, David
bca37fd3-d692-4779-b663-5916b01edae5

Knuth, Christopher, Squicciarini, Giacomo and Thompson, David (2025) An efficient model for predicting the sound radiation from a railway rail accounting for cross-section deformation. Journal of Sound and Vibration, 618 (Part B), [119323]. (doi:10.1016/j.jsv.2025.119323).

Record type: Article

Abstract

The track is the main contributor to railway rolling noise below 2 kHz. In this frequency range it is usually acceptable to represent the rail vibration using a Timoshenko beam. At higher frequencies, however, cross-section deformation occurs in the rail, which requires more complex track models. In this paper a vibroacoustic 2.5D Finite Element and Boundary Element model of a continuously supported rail is implemented for studying the effect of cross-section deformation on sound radiation. A novel interpolation strategy is developed to significantly reduce the solution time by interpolating element coefficient vectors. Results are calculated for vertical or lateral excitation applied to the rail head and comparisons are made with a Timoshenko beam model in which the cross-section remains undeformed. For vertical excitation, the sound power from both models is identical below 3 kHz, while for lateral excitation, the Timoshenko beam has differences of up to 25 dB below 200 Hz owing to the missing rail torsion and foundation eccentricity. Above 3 kHz for vertical excitation and from 1 kHz for lateral excitation, higher-order waves contribute to the sound power, causing an underestimation of up to 15 dB if the cross-section deformation is neglected. The calculated transfer functions of rail sound power per unit squared force are incorporated in a rolling noise prediction model that includes vertical and lateral dynamics. The results show that the Timoshenko beam rail underestimates the rail sound power by up to 5 dB in comparison with the 2.5D rail model in one-third octave bands.

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More information

Submitted date: 2024
Accepted/In Press date: 2 July 2025
e-pub ahead of print date: 3 July 2025
Published date: 16 July 2025
Keywords: 2.5D Boundary Elements, 2.5D Finite Elements, Timoshenko beam, rail sound radiation, rail vibration, rolling noise

Identifiers

Local EPrints ID: 504039
URI: http://eprints.soton.ac.uk/id/eprint/504039
ISSN: 0022-460X
PURE UUID: 9ecf950f-0cdf-4e8c-ad6d-246b58ad3ea9
ORCID for Christopher Knuth: ORCID iD orcid.org/0000-0003-4995-2179
ORCID for Giacomo Squicciarini: ORCID iD orcid.org/0000-0003-2437-6398
ORCID for David Thompson: ORCID iD orcid.org/0000-0002-7964-5906

Catalogue record

Date deposited: 21 Aug 2025 16:09
Last modified: 22 Aug 2025 02:31

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