任意形式荷载作用下部分埋入桩的扭转振动特性研究

Torsional Vibration of a Partially Embedded Pile under Transient Loading with Arbitrary Form

基于土体动力方程,研究均质黏弹性土体中部分埋入桩的扭转振动问题.利用拉普拉斯变换,求得土体的动力扭转阻抗.根据桩土系统衔接条件和边界条件,利用阻抗函数递推原理,得到桩顶转角响应的拉普拉斯变换域解.采用拉普拉斯逆变换技术,得到任意形式激振荷载作用下桩顶转角时域响应的数值解.最后研究桩土系统主要参数对桩长期扭转刚度和桩顶转角时域响应的影响.

Based on soil dynamic equations,the torsional vibration of a pile partially embedded in a viscoelastic soil is investigated.The torsional impedance of the soil is derived using Laplace transform.By utilizing the boundary and continuity conditions of the pile-soil system and transfer technique of impedance function,the twist angle at the pile head is obtained in the Laplace transform domain.Then by the inverse Laplace transform scheme,the numerical solution of the response of the twist angle at the pile head under arbitrarily formal transient torsional loading is derived in the time domain.Finally,the influence of major parameters on the long-term torsional stiffness of the pile and time-domain response of the twist angle at the pile head is investigated.