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The Analysis of Unsaturated Ground Vibration Induced by Train Loading by 2.5D FEM
Abstract Two kinds of numerical models for unsaturated porous medium are used to simulate the unsaturated ground vibration induced by train loading, to study the influences of saturation on ground vibration and to discuss the differences of the two numerical models. The first numerical model is two phases model that derives from the Biot theory of saturated porous medium and uses modified compression modulus of water to take soil saturation into consideration. The second numerical model is three phases model and is deduced from the mass conservative equations and momentum conservative equations for the solid, water and air. The governor equations of the two kinds of numerical models are transformed into wave number and frequency domain by Fourier transform to adopt 2.5D finite element method (FEM) of solving those numerical models. The train loading and Euler beam dynamic equations for track are also transformed to wave number and frequency domain in 2.5D FEM model. Differences on the vibration frequency and amplitude are observed for the two kinds of model which may contribute to the scattering and reflecting by air in the three phases numerical model. Finally the ground vibration of layered unsaturated subgrade is studied and results show that the vibration at track center is controlled by superstratum. While for ground vibration far away the track the superstratum controls the high frequency spectrum and the subjacent layer effects the low frequency spectrum.
The Analysis of Unsaturated Ground Vibration Induced by Train Loading by 2.5D FEM
Abstract Two kinds of numerical models for unsaturated porous medium are used to simulate the unsaturated ground vibration induced by train loading, to study the influences of saturation on ground vibration and to discuss the differences of the two numerical models. The first numerical model is two phases model that derives from the Biot theory of saturated porous medium and uses modified compression modulus of water to take soil saturation into consideration. The second numerical model is three phases model and is deduced from the mass conservative equations and momentum conservative equations for the solid, water and air. The governor equations of the two kinds of numerical models are transformed into wave number and frequency domain by Fourier transform to adopt 2.5D finite element method (FEM) of solving those numerical models. The train loading and Euler beam dynamic equations for track are also transformed to wave number and frequency domain in 2.5D FEM model. Differences on the vibration frequency and amplitude are observed for the two kinds of model which may contribute to the scattering and reflecting by air in the three phases numerical model. Finally the ground vibration of layered unsaturated subgrade is studied and results show that the vibration at track center is controlled by superstratum. While for ground vibration far away the track the superstratum controls the high frequency spectrum and the subjacent layer effects the low frequency spectrum.
The Analysis of Unsaturated Ground Vibration Induced by Train Loading by 2.5D FEM
Li, Shaoyi (author)
2017-06-28
22 pages
Article/Chapter (Book)
Electronic Resource
English
Ground vibration , Unsaturated porous medium , Layered subgrade , Frequency analysis , 2.5D FEM Engineering , Geoengineering, Foundations, Hydraulics , Geotechnical Engineering & Applied Earth Sciences , Vibration, Dynamical Systems, Control , Monitoring/Environmental Analysis , Building Repair and Maintenance , Transportation Technology and Traffic Engineering
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