桩顶柔性约束下非均质饱和土中管桩扭转振动研究

李亚楠,章敏,王栋梁,周忠超

振动与冲击 ›› 2020, Vol. 39 ›› Issue (12) : 182-189.

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (12) : 182-189.
论文

桩顶柔性约束下非均质饱和土中管桩扭转振动研究

  • 李亚楠,章敏,王栋梁,周忠超
作者信息 +

Torsional dynamic response of a pipe pile in heterogeneous saturated soil with a flexible support at pile head

  • LI Yanan,ZHANG Min,WANG Dongliang,ZHOU Zhongchao
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摘要

基于Biot波动方程及Novak薄层法理论,采用非线性弹簧模型近似代替上部结构对管桩的柔性约束,并考虑土体剪切模量沿深度的非均质变化,在求得桩周土和桩芯土扭转动力阻抗的基础上,将管桩扭转振动方程离散成差分格式,最终获得了桩顶柔性约束下非均质饱和土中端承管桩扭转振动的频域响应。研究表明:随着柔性约束参数n、Mu的增大,桩顶实刚度在两个参数高、低区段内数值不变,中间随n、Mu逐渐增大,而T0的影响则与之相反;动阻尼随n、Mu、T0的变化呈现出近似的正态曲线分布模式;增大土层非均质系数a,将使桩顶实刚度逐渐增大,动阻尼迅速减小,且最终保持不变。

Abstract

An analytical solution is developed to investigate the torsional dynamic response of an end bearing pile embedded in heterogeneous saturated soil with a flexible support at pile head. The torsional dynamic impedances of the outer and inner soil are first solved based on Biot’s motion wave equation and the Novak's thin layer method. The torsional dynamic response and complex dynamic impedance of the pipe pile are then deduced by discretizing the dynamic equation of pipe pile into difference schemes. The results show that the real stiffness of the pile top remains unchanged in the zone of both high and low flexible support parameters n and Mu, and increases gradually in that of middle n and Mu. While the effect of the applied torque T0 at the pile tip is inverse. The dynamic damping presents an approximate normal curve distribution with the variations of n, Mu and T0. With the increase of soil heterogeneity coefficient a, the real stiffness of pile top gradually increases, but the dynamic damping decreases rapidly, and both eventually remain unchanged.

关键词

管桩 / 桩顶柔性约束 / 非均质土 / 扭转振动

Key words

pipe pile / flexible support at pile head / heterogeneous soil / torsional dynamic response

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李亚楠,章敏,王栋梁,周忠超. 桩顶柔性约束下非均质饱和土中管桩扭转振动研究[J]. 振动与冲击, 2020, 39(12): 182-189
LI Yanan,ZHANG Min,WANG Dongliang,ZHOU Zhongchao. Torsional dynamic response of a pipe pile in heterogeneous saturated soil with a flexible support at pile head[J]. Journal of Vibration and Shock, 2020, 39(12): 182-189

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