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Study on Vertical Vibration Characteristics of Pile in Fractional Rheological Soil

DOI：

 作者 单位 邮编 陈振宏 甘肃省地质矿产勘查开发局 730050 王立安* 兰州交通大学 730070

利用分数阶导数修正Zener标准流变固体模型，考虑桩周土的瞬时流变效应构建桩-土系统竖向耦合振动模型。采用Laplace变换和势函数分解方法推导系统动力控制方程的频域解析解，再通过Laplace数值反演得到桩顶瞬时激励下的时域响应。利用退化模型和有限元模型对本文方法的有效性进行验证，而后通过数值算例分析了流变性黏土地层中桩基竖向振动的位移、动刚度和动阻尼的频域特征，以及桩顶瞬时激励下的波动响应。研究发现，土体流变效应使桩顶位移、动刚度和动阻尼在频域中的幅值减小；土体流变效应造成瞬时激励下桩顶响应幅值减小，反射波信号减弱。

Using fractional derivatives to modify the Zener standard rheological solid model and considering the instantaneous rheological effect of the soil around the pile, a vertical coupled vibration model of the pile soil system is constructed. The frequency domain analytical solution of the system dynamic control equation is derived using Laplace transform and potential function decomposition methods, and the time domain response under instantaneous excitation at the pile top is obtained through Laplace numerical inversion. The effectiveness of the proposed method was validated using a degradation model and finite element model. Then, numerical examples were used to analyze the frequency domain characteristics of displacement, dynamic stiffness, and dynamic damping of pile foundation vertical vibration in a rheological clay layer, as well as the wave response under instantaneous excitation at the pile top. Research has found that the rheological effect of soil reduces the amplitude of pile top displacement, dynamic stiffness and the rheological effect of soil causes a decrease in the amplitude of the pile top response and a weakening of the reflected wave signal under instantaneous excitation.
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