(1. Key Laboratory of New Technology for Construction of Cities in Mountain Area，Ministry of Education，Chongqing University，Chongqing 400045，China；2. College of Civil and Transportation Engineering，Hohai University，
Nanjing，Jiangsu 210098，China)
Abstract：To investigate the horizontal vibrating characteristics of large-diameter pipe piles，a governing equation with Timoshenko model assumed for pipe piles was established. Methods of differential transformations and variable separation were adopted to decouple the three-dimensional equations of soil. The implicit analytical expressions of the soil displacements and horizontal impedances were deduced. Analytical solutions of the pile response were derived based on the assumption of perfect contacts between the pile and soil and thus the expression of the complicated impedances was obtained. On the basis of the analytical solutions，parametric analyses were carried out to find out the most significant factors influencing on the behavior of the horizontal vibrating pipe piles. The results show that the variation of horizontal complex impedances deduced according to the Euler-Bernoulli model agrees well with that deduced from the Timoshenko model，which validates the solution. The real parts of the complex impedances decrease with the increase of the pile length and vice versa for the imaginary parts. Both the real parts and imaginary parts show little variation when the pile length reaches the certain critical value. Although the complex impedances increase with the decrease of the inner radius，their influences on the complex impedances are marginal when the inner radii are less than 0.2 m. Both the average radius and wall thickness of the piles significantly influence the complex impedances when the cross sectional areas are approximately equal.
ZHENG C，LIU H，DING X，et al. Horizontal vibration of a large-diameter pipe pile in viscoelastic soil[J]. Mathematical Problems in Engineering，2013，(4)：1-13.
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2016, Vol. 35 
