标准线性固体土模型条件下桩的动力响应分析与应用

在桩侧土为标准线性固体模型条件下，建立了成层土中考虑桩端和桩侧土作用的有限长桩，桩顶受纵向激励情况下的定解问题，用拉氏变化(Laplace)求得桩顶阻抗函数和速度频率响应的函数，然后利用卷积定理和傅立叶(Fourier)逆交换求得任意激振力作用下桩顶速度响应的半解析解，并研究了模型中各个主要参数对桩顶响应及速度响应曲线的影响，并分析了缺陷桩和不同土参数对曲线的影响，得到了许多新的有意义的结论。

Vibration of pile with normal linear solid shape and its application

The problem on vertical vibration of a finite length pile in the layered soil under an exciting force is investigated,in which the behavior of soil surrounding pile is standard linear solid model and the influence of the soil under pile toe and surrounding pile is considered. With Laplace transform, the transmit functions of a pile about velocity and displacement are deduced. Then, Using the convolution law and inverse Fourier transform, a quasi-analytical solution for the velocity response of the pile subjected to a semi-sine wave exciting force is given. Based on the solution,some major parameters of the model affecting the reflecting wave curves and the velocity mobility curves of the top end of pile are studied, and the effect of broken pile or soil parameter are also discussed.