New analytical solution to predict the vertical impedance of a large-diameter pipe pile in soil considering wave propagation in visco-elastic continuum

2021 ◽  
Author(s):  
Chunyi Cui ◽  
Zhimeng Liang ◽  
Chengshun Xu ◽  
Yu Xin ◽  
Benlong Wang ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Analytical Solution ◽  
Large Diameter ◽  
Elastic Continuum ◽  
Pipe Pile ◽  
Large Diameter Pipe ◽  
Diameter Pipe

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

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1442
Author(s):  
Zhimeng Liang ◽  
Chunyi Cui ◽  
Kun Meng ◽  
Yu Xin ◽  
Huafu Pei ◽  
...  
Keyword(s):  
Analytical Solution ◽  
Analytical Method ◽  
Longitudinal Vibration ◽  
Large Diameter ◽  
Pipe Pile ◽  
Large Diameter Pipe ◽  
Dynamic Impedance ◽  
Diameter Pipe ◽  
Rod Model ◽  
Heterogeneous Soil

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.

scholarly journals Impedance of Inner Saturated Soil to Horizontally Vibrating Large-Diameter Pipe Piles

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Jiang Xie
Keyword(s):  
Analytical Solution ◽  
Large Diameter ◽  
Saturated Soil ◽  
Soil Parameters ◽  
Dimensionless Frequency ◽  
Large Radius ◽  
Pipe Pile ◽  
Large Diameter Pipe ◽  
Diameter Pipe ◽  
Soil Impedance

An analytical solution for the inner soil impedance of saturated soil to a horizontally vibrating large-radius pipe pile was presented. Based on the porous media theory and the assumption that the vertical normal stress is zero, the closed solution of the inner soil impedance of the saturated soil to the movement of the large-diameter pipe pile is obtained. This analytical solution considers the influence of saturated soil parameters on the impedance of the core soil of large-diameter pipe piles. Through numerical examples, the variation law of the inner soil impedance with pile radius, pile length, dimensionless frequency, compression coefficient, effective permeability coefficient, and porosity was analyzed and the pile radius corresponding to effective inner soil impedance is determined.

scholarly journals Horizontal Vibration of a Large-Diameter Pipe Pile in Viscoelastic Soil

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Changjie Zheng ◽  
Hanlong Liu ◽  
Xuanming Ding ◽  
Qiang Fu
Keyword(s):  
Dynamic Response ◽  
Separation Of Variables ◽  
Large Diameter ◽  
Soil Layer ◽  
Governing Equations ◽  
Layer Potential ◽  
Pipe Pile ◽  
Large Diameter Pipe ◽  
Diameter Pipe ◽  
Stiffness And Damping

An analytical solution is developed in this paper to investigate the horizontal dynamic response of a large-diameter pipe pile in viscoelastic soil layer. Potential functions are applied to decouple the governing equations of the outer and inner soil. The analytical solutions of the outer and inner soil are obtained by the method of separation of variables. The horizontal dynamic response and complex dynamic stiffnesses of the pipe pile are then obtained based on the continuity conditions between the pile and the outer and inner soil. To verify the validity of the solution, the derived solution in this study is compared with an existing solution for a solid pile. Numerical examples are presented to analyze the vibration characteristics of the pile and illustrate the effects of major parameters on the stiffness and damping properties.

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