An Analytical Method for the Longitudinal Vibration of a Large-Diameter Pipe Pile in Radially Heterogeneous Soil Based on Rayleigh–Love Rod Model

Zhimeng Liang,Benlong Wang,Chunyi Cui,Yu Xin,Huafu Pei,Kun Meng

doi:10.3390/math8091442

Zhimeng Liang, Benlong Wang + Show 4 more

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https://doi.org/10.3390/math8091442

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Abstract

Based on the Rayleigh–Love rod model and Novak’s plane-strain theory, an analytical method for the longitudinal vibration of a large-diameter pipe pile in radially heterogeneous soil is proposed. Firstly, the governing equations of the pile-soil system are established by taking both the construction disturbance effect and transverse inertia effect into account. Secondly, the analytical solution of longitudinal dynamic impedance at the pile top can be achieved by using Laplace transform and complex stiffness transfer techniques. Thirdly, the present analytical solution for dynamic impedance can also be performed in contrast with the existing solution to examine the correctness of the analytical method in this work. Further, the effect of pile Poisson’s ratio, pile diameter ratio as well as soil disturbed degree on the dynamic impedance are investigated. The results demonstrate that the Rayleigh–Love rod is appropriate for simulating the vibration of a large-diameter pipe pile in heterogeneous soils.

Highlights

Pile foundations of the building and civil engineering structures often suffer earthquake loads, dynamic machine loads and traffic loads in a natural environment
Comprehensive parametric analyses are given insight into the dynamic impedance for a large-diameter pipe pile in radially heterogeneous medium based on a solution of Equation (34)
According to the Rayleigh–Love rod model and elastodynamic theory of Novak’s plane-strain, an analytical method for the longitudinal vibration of the large-diameter pipe pile in radially inhomogeneous soil with viscous damping can be proposed by means of the Laplace transform and complex stiffness transfer techniques

Summary

Introduction

Pile foundations of the building and civil engineering structures often suffer earthquake loads, dynamic machine loads and traffic loads in a natural environment. The theory of the pile-soil interaction has played an important role in seismic design and dynamic design of foundation [1,2,3]. Liu et al [17,18] applied the large diameter thin wall pipe piles for natural soft-clay, and expounded the advantages of pipe piles applied to practical engineering. Ding’s research team [19,20] has developed some analytical methods for the longitudinal vibration of pipe pile by using Laplace transform and inverse Fourier transform technique, based on Winkler model and Mathematics 2020, 8, 1442; doi:10.3390/math8091442 www.mdpi.com/journal/mathematics

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