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考虑桩身的横向惯性效应和桩端土应力扩散效应,进行了成层土桩的纵向振动研究。在桩-土模型中,将桩身等效为Rayleigh-Love杆,桩端土对桩身的支承作用简化为扩散虚土桩模型,采用平面应变模型来描述桩与桩侧土的相互作用。结合初始条件、边界条件和连续条件,并通过积分变换法和阻抗函数递推法,得到半正弦激振脉冲作用下桩顶的动力响应理论解。建立桩-土系统的有限元模型,进行数值计算。分别利用理论解和数值解分析脉冲宽度、桩径、虚土桩桩长和桩侧土夹层等相关参数对桩顶速度时域曲线的影响,并得出了两种方法的对比结果,互相验证了所建模型的正确性。
Considering the lateral inertia effect of pile body and the soil stress diffusion effect at pile tip, the longitudinal vibration of layered soil pile is studied. In the pile-soil model, the pile body is equivalent to the Rayleigh-Love rod. The support effect of the pile-end soil on the pile body is simplified to the diffusion-soil pile model. The plane strain model is used to describe the interaction between pile and pile side soil. Combining the initial conditions, the boundary conditions and the continuous conditions, the theoretical solution to the dynamic response of the pile top under the action of half-sine excitation pulses is obtained through the integral transformation method and the recursion of the impedance function. The finite element model of pile-soil system is established and numerical calculation is carried out. The theoretical solution and numerical solution are respectively used to analyze the influence of pulse width, pile diameter, length of cast-in-situ pile and soil interlayer on the time-domain curve of pile top speed, and the comparison results of the two methods are obtained. The correctness of the model built.