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| Horizontal dynamic response analysis of multi-directional loaded piles based on Timoshenko-Pasternak model |
| JIANG Jie1，2，3，CHAI Wencheng1，2，3，OU Xiaoduo1，2，3，FU Chenzhi1，2，3，WANG Shunwei1，2，3 |
(1. College of Civil Engineering and Architecture，Guangxi University，Nanning，Guangxi 530004，China；2. Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education，Guangxi University，Nanning，Guangxi 530004，China；3. Guangxi Key Laboratory of Disaster Prevention and Engineering Safety，Guangxi University，Nanning，Guangxi 530004，China)
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Abstract In order to remedy the deficiency of the conventional dynamic Winkler model in horizontal vibration analysis of single pile, a Timoshenko-Pasternak model is established based on the Pasternak foundation theory and Timoshenko beam theory，which considers both the shear effect of soil and the shear deformation of pile. Firstly，the differential transformation from the three-dimensional wave equation of soil is utilized to decouple soil equations，and separation variable method combined with continuity condition of pile-soil boundary is used solve the horizontal impedance of soil around pile. On this basis，the Timoshenko-Pasternak model is applied to derive the governing equation of horizontal vibration，and the analytical solution of dynamic complex impedance of the pile top in frequency domain is obtained by a transfer matrix method combining the boundary conditions at the pile bottom. The model is verified correct and reasonable by comparing with the existing model solutions. In addition，the pile characteristics and the properties of pile periphery soil are analyzed. The research results show that the vertical load can inhibit the impedance of the pile top. Meanwhile，the horizontal dynamic stiffness and the rocking stiffness of the pile top decrease gradually with increasing the vertical load. When the length of piles reaches the critical value of the aspect ratio(10–15)，the boundary conditions of the pile toe and the pile length have little effect on the impedance of the pile top. The impedance of the pile top would increase with decreasing the pile-soil elastic modulus ratio, and the influence of the elastic modulus of surface soil on the impedance of the pile top is much greater than that of undersoil.
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2022, Vol. 41 
