Vertical vibration of a large diameter pile embedded in inhomogeneous soil based on the Rayleigh-Love rod theory

Abstract

Abstract:The vertical vibration of a large diameter pile embedded in inhomogeneous soil with hysteretic type damping is investigated based on the 3D axisymmetric model. Firstly, the pile is assumed to be a Rayleigh-Love rod with the consideration of its transverse inertia effect. Following this assumption, the pile-soil system is divided into several segments according to the stratification of the surrounding soil, and the dynamic interactions of the adjacent soil layers are simulated using the distributed Voigt model. Meanwhile, the surrounding soil is discretized into finite annular vertical zones to consider its radial inhomogeneity, and the force equilibrium and displacement coordination are satisfied at the interfaces of the adjacent soil zones and the interface of the pile-soil. Then, the analytical solution in the frequency domain and the semi-analytical solution in the time domain are obtained by solving the vibration governing equations of pile-soil system. Based on the solutions, a parametric analysis is conducted to investigate the influence of the transverse inertia effect on the dynamic response of the large diameter pile and its relationship with the pile parameters and the radial inhomogeneity of the surrounding soil. Finally, a comparison with the measured result and two other calculated results is presented to verify the effectiveness of the present solution.

A new approach for longitudinal vibration of a large-diameter floating pipe pile in visco-elastic soil considering the three-dimensional wave effects

“…Lu et al [29,30] considered both the 3D wave effect of soil and the large-diameter effect of pile shaft to discuss the coupled longitudinal dynamic characteristics of pile in longitudinal layered soils. Afterward, Li et al [31] conducted further studies on the longitudinal dynamic characteristics of a large-diameter pile in layered soils with radial inhomogeneity. Zheng et al [32] and Li et al [33] also examined the longitudinal dynamic characteristics of pile in radially homogeneous and inhomogeneous soils, respectively, by extending the Rayleigh-Love rod theory to pipe piles.…”

New Analytical Solutions for Longitudinal Vibration of a Floating Pile in Layered Soils with Radial Heterogeneity

“…Moreover, the research team of Wang [30,31] pointed out the defects of EI Naggar's model and then presented a new method for the longitudinal vibration of the pile-soil interaction system by utilizing the complex stiffness method in the hysteretic-damping soil. Afterwards, based on Wang's model, Li et al [32] developed a new method to research the longitudinal vibration characteristics of a large-diameter pile in radially heterogeneous media.…”

An Analytical Solution for Longitudinal Impedance of a Large-Diameter Floating Pile in Soil with Radial Heterogeneity and Viscous-Type Damping

“…Afterwards, Zheng et al [31] further extended this model to examine the longitudinal vibration of a large-diameter pipe pile in radially homogenous media. Moreover, for the longitudinal vibration problem of piles with radial heterogeneity, Li et al [32,33] investigated the longitudinal vibration characteristics of a large-diameter pile in viscoelastic media with radial heterogeneity and hysteretic-type damping, using Novak's thin layers model and the wave propagation theory of a 3D continuum, respectively. It has been demonstrated that the hysteretic-type damping model, which is independent of frequency, could be unsatisfactory when the excitation is non-harmonic [34].…”