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| Horizontal vibration of piles in unsaturated foundations considering vertical loads |
| YANG Zijian1,WU Wenbing1,2,ZHANG Yunpeng1,LIU Hao1,DONG Longlong1,WANG Lixing1 |
| (1. Faculty of Engineering,China University of Geosciences,Wuhan,Hubei 430074,China;2. Zhejiang Institute,China University of Geosciences,Hangzhou,Zhejiang 311305,China) |
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Abstract In this paper,the horizontal vibration of piles in unsaturated foundation considering the vertical load is studied. On the basis of the Timoshenko beam model and three dimensional poroelastic unsaturated continuum medium theory,the soil-pile interaction model considering the vertical load at the pile top is established. Through the direct solving method,variable separation method and the boundary conditions of the soil-pile system,the analytical solutions of horizontal displacement,rotation angle,bending moment,shear force and dynamic complex impedance of pile head are obtained. The solution in this paper is verified through the comparisons against existing theoretical solutions. Further,the differences between the Euler and Timoshenko Beam theories are illustrated under the condition of vertical load and pile cap mass. The major findings can be summarized as:(1) The vertical load only has influences on the stiffness factor of the horizontal dynamic impedance at the pile top,and will not cause any change in the resonance frequency except for the reduction of the minimum value. (2) The complex impedance calculated by the Euler beam model is always larger,but the Timoshenko beam model should be preferred for safety reasons. (3) With the increase of vertical load,the horizontal displacement at the pile top,the rotation angle at the middle and upper part of the pile,the bending moment and shear force at the middle and lower part of the pile all increase slightly,which may threaten the structural safety. (4) When the pile cap mass is considered,the dynamic response of the pile decreases to a certain extent.
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