Abstract
Based on the theory of wave propagation in three-dimensional (3D) continuum, a new analytical approach for the longitudinal vibration characteristics of a floating pile in layered soils with radial heterogeneity is developed by employing a viscous-type damping model. Firstly, an analytical solution for the longitudinal complex impedance at the pile head is deduced by employing the Laplace transform and complex stiffness technique with the compatibility conditions of the pile and radially inhomogeneous surrounding soil. Secondly, a semi-analytical solution in the time domain is further acquired by using the inverse Fourier transform method. Furthermore, the corresponding analytical solutions are validated through contrasts with previous solutions. Finally, parametric analyses are underway to investigate the effect of radial heterogeneity of surrounding soils on longitudinal vibration characteristics of floating piles. It is indicated that the proposed approach and corresponding solutions can provide a more wide-ranging application than the simple harmonic vibration for longitudinal vibration analysis of a floating pile in soils.
Highlights
Structures such as bridges, tall buildings, and offshore platform often have piles as foundations that experience dynamic loads from traffic, earthquakes, and mechanical oscillations
To date, based on the theory of 3D wave propagation and the viscous-type damping model, there is little work on the longitudinal vibration of piles embedded in radially heterogeneous media
The dimensionless complex impedance K ′ written in Equation (25) is degenerated to depict
Summary
Structures such as bridges, tall buildings, and offshore platform often have piles as foundations that experience dynamic loads from traffic, earthquakes, and mechanical oscillations. 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. Cui et al [35] developed a new method for the longitudinal response of a pipe pile embedded in radially heterogeneous media with a viscous-type damping model. To date, based on the theory of 3D wave propagation and the viscous-type damping model, there is little work on the longitudinal vibration of piles embedded in radially heterogeneous media. A new analytical approach for the longitudinal vibration of a floating pile embedded in bidirectional heterogeneous soil with a viscous-type damping model is proposed, by extending the complex stiffness transfer method, inverse Fourier transform, and the theory of 3D wave propagation in continuum. The proposed model can simulate the complicated working conditions better than the homogeneous media in the subgrade and can provide a reference and guide for practical engineering
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