A model for the assessment of the three-dimensional dynamic tunnel-half-space interaction has been established. The model is based upon a coupling of the integral transform method (ITM) to take into account the infinite extensions of the soil with the finite element method (FEM) to consider the arbitrary shape of the tunnel and interior constructional elements. The coupling is performed using a substructuring approach in the wavenumber-frequency domain. Therefore a modified FEM description is necessary. The procedure is very efficient, because the three-dimensional problem is reduced to a series of plane problems depending on the wavenumbers in the longitudinal direction of the tunnel. The method allows the prediction of the propagation of vibrations and ground-borne sound due to moving trains in tunnels. In an example the interaction of a nonlinear vehicle with a floating slab-track which has been installed in order to reduce the emission of structure-borne sound has been investigated.
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