AN ANALYTICAL SOLUTION TO TRAIN-INDUCED GROUND VIBRATION
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Abstract
In order to predict the train-induced ground vibration precisely, a new track-poroelastic half-space model is proposed. The contact between the embankment and the half-space is assumed to be perfectly bonded, which is consistent with the real condition. The rails and sleepers are simulated by infinite Euler beams and Kirchhoff plate, respectively. The embankment to support them is modeled as a rectangular elastic layer. The solution to the embankment is based on Fourier transforms combined with the Fourier series expansion. Biot’s theory is employed to simulate the fully saturated poroelastic half-space and the Fourier transform is applied to solve the governing equations. Through a comparison with existing works, it is found that, when excited by high-frequency load, the simplified contact conditions between the embankment and the half-space will cause apparent errors in predicting the ground vibration. In addition, the elastic half-space soil model will underestimate the dynamic response level significantly.
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