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Numerical modelling of subway induced vibrations
Authors: ---
ISBN: 9789056829841 Year: 2008 Publisher: Leuven Katholieke Universiteit Leuven

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Abstract

Vibrations induced by the passage of underground trains are a major environmental concern in urban areas. These vibrations propagate through the tunnel and surrounding soil into nearby buildings causing annoyance to people. Vibrations may also interfere with sensitive equipment, as used in scientific research laboratories and hightech industries. The present study aims to develop a numerical model for prediction of vibrations from underground railways. A coupled periodic FE-BE model that fully accounts for the dynamic interaction between the train, the track, the tunnel and the soil has been developed. The three-dimensional dynamic track-tunnel-soil interaction problem is solved with a subdomain formulation, using a finite element method for the track and the tunnel and a boundary element method for the soil. The periodicity of the track-tunnel-soil system in the longitudinal direction is exploited using the Floquet transformation. The track-tunnel-soil interaction problem is solved in the frequency-wavenumber domain and the wave field radiated into the soil is computed. The mathematical correctness of the coupled periodic FE-BE approach is demonstrated by verifying the method against a semi-analytical pipe-in-pipe model. The coupled FE-BE model has also been validated by means of several experiments that have been performed at the Cité Universitaire on the line RER B of RATP in Paris and in Regent's Park above the Bakerloo line tunnels of London Underground. Despite the large amount of uncertainties present in the problem, a reasonably good agreement is obtained between the predictions and measurements. The coupled periodic FE-BE model and the pipe-in-pipe model are used to perform a parametric study to elucidate the importance of determining factors for subway induced vibrations. A number of parameters related to the vehicle, the track, the tunnel and the soil are investigated. The parametric study has improved the understanding of the generation and propagation mechanisms of vibrations from underground railways. The coupled periodic FE-BE model has also been used to model the vibrations from a high speed train running in a tunnel, demonstrating the applicability of the state-of-the-art model to solve complex engineering problems of vibrations from underground railways. The parametric study has improved the understanding of the generation and propagation mechanisms of vibrations from underground railways. The coupled periodic FE-BE model has also been used to model the vibrations from a high speed train running in a tunnel, demonstrating the applicability of the state-of-the-art model to solve complex engineering problems of vibrations from underground railways.

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