A numerical model for calculating vibration in a building with pile foundation from underground railway trains

Hussein, M.F.M., Hunt, H.E.M., Kuo, K.A., Costa, P.A. and Barbosa, J. (2013) A numerical model for calculating vibration in a building with pile foundation from underground railway trains. 11th Biennial International Conference on Vibration Problems, Lisbon, Portugal. 08 - 11 Sep 2013.

Abstract

building due to moving trains in a nearby underground tunnel. The model couples two sub-models to perform the calculations. The first is for a building on pile foundation and the second is for a tunnel embedded in an elastic half space. The two sub-models are coupled at discrete points and results in efficient numerical calculations. For the first sub-model, a 2D frame made of beam elements is used to model the building and its pile-foundation. The elements are formulated using the dynamic stiffness matrix which accounts for Euler-Bernoulli bending and axial behaviour. The second sub-model is the well-known PiP model that calculates vibration from a train moving in an underground tunnel. PiP calculates the Power Spectral Density (PSD) of the displacement in soil. The excitation mechanism used in PiP is rail roughness and the PSD is calculated for a moving train on a floating-slab track in underground railway tunnel assuming a stationary process. The results presented in the paper show that the dynamics of the building and its foundation significantly change the incident vibration field from a tunnel.

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