Renormalization study of vertical vibration of single pile with cushion cap
LI Hongjiang1，2，LIU Songyu1，2，TONG Liyuan1，2
(1. Institute of Geotechnical Engineering，Southeast University，Nanjing，Jiangsu 210096，China；2. Jiangsu Key Laboratory of Urban Underground Engineering and Environmental Safety，Southeast University，Nanjing，Jiangsu 210096，China)
Abstract：From the perspective of nonlinear vibration mechanics，the vertical free vibration characteristics of a single pile with cushion cap embedded in layered foundation were studied based on renormalization method. The form of the spring coupled with the unit block was taken to discretize the pile body and its surrounding soil. The generalized Voigt series were used to describe the friction effect of the viscoelastic soil layers. A vertical vibration model for the nonlinear system of cushion cap-single pile-soil with multiple degrees of freedom was established. The vertical vibration frequency of the coupled model was given through the coordinate transformation principle of renormalization and the distribution coefficient of pile quality was introduced to represent different equations of vibration frequency under different conditions. The correctness and accuracy of the renormalization method for vibration frequency equations were verified. The influential factors including the pile quality，the material stiffnessthe cap quality and the friction resistance were investigated.
李洪江1，2，刘松玉1，2，童立元1，2. 带承台单桩耦合体系纵向振动的重正化解法研究[J]. 岩石力学与工程学报, 2016, 35(6): 1281-1290.
LI Hongjiang1，2，LIU Songyu1，2，TONG Liyuan1，2. Renormalization study of vertical vibration of single pile with cushion cap. , 2016, 35(6): 1281-1290.
BHATTACHARYYA P，BIKAS K C. Modelling critical and catastrophic phenomena in geoscience：a statistical physics approach[M]. Berlin，Heidelberg：Springer Science and Business Media，2006：205-209.
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