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基于Rayleigh-Love杆模型,研究考虑横向惯性效应时非均质土中大直径桩纵向振动特性。首先,采用虚土桩模型模拟桩底土对桩的支承作用,通过径向圈层间的剪切复刚度传递,考虑施工扰动造成的桩周土的径向非均质性;然后,将桩与虚土桩假设为Rayleigh-Love杆,建立其纵向振动控制方程,通过Laplace变换和阻抗函数递推方法,得到桩顶频域响应解析解,并通过Fourier逆变换得到桩顶时域响应半解析解;在此基础上,通过参数分析的方法,研究横向惯性效应对大直径桩纵向振动特性的影响以及与桩–土参数之间的关系;最后,将理论计算结果与现场实测曲线进行对比,验证了本文解的合理性。
Based on the Rayleigh-Love rod model, the longitudinal vibration characteristics of large diameter piles in inhomogeneous soil considering lateral inertia effect are studied. First, the effect of pile foundation on the pile is simulated by using the model of virtual soil piles. Radial heterogeneity of soil around the pile caused by construction disturbance is considered through the transfer of shear stiffness between the radial layers. Then, The virtual soil pile is assumed to be a Rayleigh-Love rod, and its longitudinal vibration control equation is established. The analytical solution of the top frequency domain response is obtained by Laplace transformation and impedance function recursion method. The semi-analytical solution of pile top time domain response is obtained by Fourier inverse transform On this basis, the influence of transverse inertia effect on the longitudinal vibration characteristics of large-diameter pile and its relationship with the pile-soil parameters are studied by means of parametric analysis. Finally, the theoretical calculation results are compared with the field measured curves to verify The rationality of this article solution.