部分埋入轴对称饱和土体桩段的扭转振动特性研究

Torsional Vibration of Partially Embedded Pile in Axisymmetric Saturated Soil

基于Biot提出的动力固结理论,研究了轴对称条件下饱和土体中部分埋入桩的扭转振动问题.将桩沿纵向划分为两段,完全埋入土体的桩段1和土体之上的桩段2.利用分离变量法求解得到土体扭转振动位移形式解.利用桩土体系的边界和衔接条件,以及阻抗函数的递推原理,求得了桩顶扭转阻抗和速度导纳的解析解及速度时域响应的半解析解.通过参数分析研究了主要参数桩基振动特性的影响.

Based on Biots dynamic consolidation theory,the torsional vibration of a pile partially embedded in a saturated soil and subjected to a time-harmonic torsional loading is investigated.The pile is divided into two segments along the vertical direction of pile segment 1which is above the soil and pile segment 2which is embedded in the soil.The torsional vibration solution in a displacement form is derived by separation of variables technique.By utilizing the boundary and continuity conditions of the pile-soil system and transfer technique of impedance function,the torsional impedance and admittance function are defined in an analytical form,and the velocity response of the pile top is obtained in a semi-analytical form.Selected numerical results are obtained to analyze the influence of main parameters on the torsional vibration characteristics of the pile.