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Civil-Comp Conferences
ISSN 2753-3239
CCC: 7
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE
Edited by: J. Pombo
Paper 13.1

Numerical Evaluation of Wave Energy Radiated from a Tunnel due to Bogie-Track Interaction

K. Abe1 and K. Sato2

1Faculty of Engineering, Niigata University, Japan
2Graduate School of Science and Technology, Niigata University, Japan

Full Bibliographic Reference for this paper
K. Abe, K. Sato, "Numerical Evaluation of Wave Energy Radiated from a Tunnel due to Bogie-Track Interaction", in J. Pombo, (Editor), "Proceedings of the Sixth International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 7, Paper 13.1, 2024, doi:10.4203/ccc.7.13.1
Keywords: 3-D analysis, periodic track, random roughness, mathematical expectation, parametric excitation, directivity of radiated waves.

Abstract
This paper presents a semi-analytical method for evaluation of the wave energy radiated from a tunnel in bogie-track-tunnel-soil interaction problems. Due to the periodicity of the sleeper spacing, the interaction problem is reduced to that in a unit cell. The solution is derived with the aid of the Floquet transformation. The transformed solution is expressed by Fourier series in the track direction. Waves caused by both the railhead random roughness and the parametric excitation are considered. The former is evaluated within the framework of the mathematical expectation, while the latter is calculated deterministically. The wave energy passing through a virtual cylindrical boundary immersed in the soil region is evaluated for three types of track structure. The first one is the direct fixation track. The second one is the track with under-sleeper pads. The third one is the direct fixation track with an under-slab sheet. Although performance of the under-slab sheet is superior to that of the under-sleeper pad at around 40 Hz, these are equivalent above 60 Hz. The frequency dependence of the directivity of radiated waves is almost the same for both responses due to the railhead roughness and the parametric excitation.

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