2.5D ITM-FEM approach for the prediction of ground-borne vibrations from two parallel underground railway tunnels

J. Freisinger, G. Müller

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

An efficient 2.5D coupled Integral Transform Method (ITM) - Finite Element Method (FEM) for the modelling of two parallel tunnels of arbitrary cross section embedded in a homogeneous halfspace is presented. The fundamental ITM solutions for the halfspace and the fullspace with cylindrical excavation are superposed to determine the dynamic stiffness matrix for a halfspace including two cylindrical cavities. The FEM is used to model the tunnel interior and a part of the surrounding soil within a cylindrical outer boundary, on which both methods are coupled leading to a total dynamic stiffness matrix in the wavenumber frequency domain. The proposed method is verified by comparison with semi-analytical solutions and the response of a twin tunnel system on the ground surface due to a harmonic load within the tunnel is investigated. The effects of the diffraction and reflection of the elastic waves due to the insertion of the second tunnel are illustrated and the influence of the tunnel cross interaction for an exact prediction of the vibrations is highlighted.

Original languageEnglish
Title of host publicationProceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics
EditorsW. Desmet, B. Pluymers, D. Moens, S. Neeckx
PublisherKU Leuven, Departement Werktuigkunde
Pages3177-3188
Number of pages12
ISBN (Electronic)9789082893151
StatePublished - 2022
Event30th International Conference on Noise and Vibration Engineering, ISMA 2022 and 9th International Conference on Uncertainty in Structural Dynamics, USD 2022 - Leuven, Belgium
Duration: 12 Sep 202214 Sep 2022

Publication series

NameProceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics

Conference

Conference30th International Conference on Noise and Vibration Engineering, ISMA 2022 and 9th International Conference on Uncertainty in Structural Dynamics, USD 2022
Country/TerritoryBelgium
CityLeuven
Period12/09/2214/09/22

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