Analytical solution of vertical vibration of a floating pile considering different types of soil viscoelastic half-space

For penetrating investigating the effect of foundation characteristics on the vertical vibration of a floating pile, an analytical solution of vertical vibration of a floating pile considering different types of soil foundation under vertical dynamic loads is developed. The pile is considered as Euler-Bernoulli beam, and the soil is considered as a three-dimensional axisymmetric viscoelastic medium. The soil governing equation is decoupled by introducing potential function, and utilizing the separation variables method, given the expression of soil displacement and soil impedance function. Then, further based on the boundary conditions of displacement equilibrium and stress equality between pile and soil, the expression of pile displacement is created. In addition, the frequency-domain solution for the coupling interaction of soil-soil viscoelastic half-space is derived at the same time. Furthermore, when the present analytical solution is degraded to a rigid foundation and the top of system is only subjected to vertical dynamic load, the reasonableness of the present analytical solution has been predicted by contrast with software ABAQUS and the existing analytical solution, respectively. Finally, on the basis of the present analytical solution, the differences and similarities of dynamic response of several soil foundation types to pile and soil are revealed with emphasis. Moreover, the results can provide a theoretical support for numerical analysis.

Automated summary

An analytical solution for the vertical vibration of a floating pile considering different types of soil foundation under dynamic loads is developed in this study. The pile is modeled as an Euler-Bernoulli beam, and the soil is modeled as a three-dimensional axisymmetric viscoelastic medium. The governing equation for the soil is decoupled using a potential function and the separation variables method, and the expressions for soil displacement and soil impedance function are obtained. The expressions for pile displacement are derived based on the displacement equilibrium and stress equality between the pile and soil. Additionally, a frequency-domain solution for the coupling interaction of a viscoelastic half-space is derived. The reasonableness of the analytical solution is validated by comparing it with software ABAQUS and existing analytical solutions under the condition of a rigid foundation and only vertical dynamic load. Finally, the differences and similarities in the dynamic response of different soil foundation types to the pile and soil are revealed, providing theoretical support for numerical analysis.