饱和黏土地基中桩基水平振动的时域半解析法研究

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (13) : 90-97.

论文

刘君1，王立安2，郭锋3

作者信息 +

Time domain semi-analytical method for horizontal vibration of pile foundation in saturated clay foundation

LIU Jun1, WANG Li’an2, GUO Feng3

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文章历史 +

摘要

在Biot多孔介质理论框架下，利用分数阶Kelvin模型描述土骨架流变效应，构建饱和黏土与桩基耦合振动模型，采用Laplace变换推导控制方程的变换域解析解，再通过数值反演得出时域解。通过算例分析，研究水平振动荷载作用下桩基的位移和内力响应及参数影响。结果表明，饱和黏土地基中桩基振动的位移和内力响应都具有延迟效应，地基土的流变性越强延迟效应越明显，而且荷载频率越低，流变性对延迟效应的影响越显著；土体流变性越强，桩基振动的位移幅值越小，且荷载频率越高，位移幅值的减小幅度越大；桩身正弯矩随土体流变性增强而减小，而负弯矩随之增大；桩身正向和负向剪力均随土体流变性增强而增大，但桩顶剪力不受土体流变性影响。

Abstract

Under the framework of Biot porous media theory, a fractional order Kelvin model is used to describe the rheological effect of soil skeleton, and a coupled vibration model of saturated clay and pile foundation is constructed. The Laplace transform is used to derive the analytical solution of the control equation in the transformation domain, and then the time-domain solution is obtained through numerical inversion.By analyzing numerical examples, the displacement and internal force response of pile foundations under horizontal vibration loads, as well as the influence of parameters, are studied. The results show that the displacement and internal force response of pile foundation vibration in saturated clay foundation have a delay effect. The stronger the rheological properties of the foundation soil, the more obvious the delay effect, and the lower the load frequency, the more significant the influence of rheological properties on the delay effect. The stronger the rheological properties of the soil, the smaller the displacement amplitude of pile foundation vibration, and the higher the load frequency, the greater the decrease in displacement amplitude. The stronger the rheological properties of the soil, the smaller the positive bending moment of the pile body, while the negative bending moment increases. Both positive and negative shear forces increase, but the shear force at the top of the pile is not affected.

导出引用

刘君1，王立安2，郭锋3. 饱和黏土地基中桩基水平振动的时域半解析法研究[J]. 振动与冲击, 2024, 43(13): 90-97

LIU Jun1, WANG Li’an2, GUO Feng3. Time domain semi-analytical method for horizontal vibration of pile foundation in saturated clay foundation[J]. Journal of Vibration and Shock, 2024, 43(13): 90-97

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