非饱和土层中桩的扭转振动响应分析

Torsional vibration of a pile embedded in unsaturated soil

基于已建立的非饱和土中的波动方程,研究了瞬间扭转荷载作用下桩的动力响应问题。在频域中,得到了桩顶位移和速度的响应函数。利用付立叶逆变换,给出了半正弦脉冲激励下桩顶速度时域响应半解析解。分析了主要参数对响应的影响。最后将分析结果进行了对比,结果表明:本文的退化解和饱和土扭转振动解是一致的。

Based on the wave equation in unsaturated soil, the dynamic response of a pile under transient torsional loading was theoretically investigated. And the corresponding solutions of the displacement and velocity response function at the head of the pile were derived in frequency domain. Then, a semi-analytical solution for the velocity response of the pile subjected to a semi-sine wave exciting force was derived by using invert Fourier transform. The numerical results were obtained to analyze the influences of some major parameters on the response. It was shown that the present regressive solution was consistent with the solution of torsional vibration in saturated soil layer.