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考虑桩周土三维波动效应变化,将桩基等效为Euler模型,考虑竖向荷载的影响,对饱和地基中端承桩水平振动问题进行了理论研究。引入势函数解耦Biot动力固结方程,通过Laplace变换和分离变量法得到土体应力和位移解析表达式,结合桩土相互作用连续性条件得到桩基位移、内力和桩顶水平动力复阻抗解析表达式。通过算例分析,研究径向孔压分布规律、竖向荷载和长径比对桩基位移和内力的影响,研究结果表明:桩土接触面附近孔压达到峰值;竖向荷载和长径比均会导致桩身位移和内力发生重分布。
Considering the variation of the three-dimensional wave effect around the pile, the pile foundation is equivalent to the Euler model, considering the effect of vertical load, the horizontal vibration of the mid-bearing pile in saturated soil is theoretically studied. By introducing the potential function decoupling Biot dynamic consolidation equation, the analytic expressions of soil stress and displacement are obtained by Laplace transform and separation variable method, and the pile foundation displacement, internal force and pile top horizontal dynamic impedance are obtained by the continuity of pile-soil interaction. expression. Through the example analysis, the influence of radial pore pressure distribution, vertical load and aspect ratio on the pile foundation displacement and internal force is studied. The results show that the pore pressure near the pile-soil contact surface reaches the peak value. The vertical load and aspect ratio Will lead to pile displacement and internal forces redistribution.