任意层地基中粘弹性楔形桩纵向振动响应研究

考虑楔形桩的横向惯性效应，研究了任意层地基中粘弹性楔形桩的纵向振动问题。首先，根据楔形桩的变截面特性并考虑桩侧土的成层性，将桩土系统沿纵向划分为有限个单元。然后，采用平面应变模型模拟桩侧土，采用Rayleigh-Love杆模拟楔形桩，运用Laplace变换技术和阻抗函数传递方法，求解得到了任意层地基中桩顶速度频域响应的解析解及桩顶速度时域响应的半解析解。最后，采用参数分析方法，对楔形桩单元划分精度进行了讨论，并讨论了楔形桩设计参数及材料参数和桩侧土成层性对楔形桩纵向振动响应的影响。

Study of vertical dynamic response of viscoelastic tapered pile embedded in layered foundation

Considering the lateral inertial effect of tapered pile, the vertical vibration of viscoelastic tapered pile embedded in layered foundation is theoretically investigated. Firstly, the soil-tapered pile system is discretized into finite units by considering variable cross-section of tapered pile and stratification of surrounding soil. Then, by virtue of plane strain model to simulate surrounding soil and Rayleigh-Love rode model to simulate tapered pile, the analytical solution of dynamic response of tapered pile in frequency domain and the corresponding semi-analytical solution of dynamic response of tapered pile in time domain are derived by means of Laplace transform technique and impedance function transform method. Finally, by using parametric study method, the accuracy of discretized units is conducted. The influence of the design parameters and material parameters of tapered pile and the stratification of surrounding soil on the vertical dynamic response of tapered pile are also detailed studied.