A method for determining the axisymmetric dynamic response of two-dimensional rock-socketed piles in saturated soil

Abstract

The invention discloses a method for determining the axisymmetric dynamic response of a two-dimensional rock-socketed pile in saturated soil. First, based on the Hamiltonian dynamic principle, a motion equation of a two-dimensional elastic pile considering radial deformation is established and solved, and the equation containing unknown constants is obtained. Homogeneous solution of the displacement of the pile; then establish and solve the equation of motion of the soil based on the Boer porous medium theory, and obtain the general solution of the displacement and stress of the soil including the unknown constants; after uniformly determining the boundary conditions and continuity conditions of the pile-soil system, Based on the boundary conditions of the soil, the general solution of the displacement and stress of the soil with unknown constants, and the homogeneous solution of the displacement of the pile with unknown constants, the general solution of the pile foundation displacement with unknown constants is obtained; according to the boundary conditions of the pile foundation and The continuity condition between the pile and soil determines all the unknown constants in the general solution of the pile foundation displacement, obtains the fixed solution of the pile foundation displacement, and then obtains the frequency domain dynamic impedance and time domain velocity response of the pile top, and the obtained results are more reasonable and accurate.

Description

technical field [0001] The invention belongs to the technical field of pile-soil interaction research, and relates to a method for determining the axisymmetric dynamic response of a two-dimensional rock-socketed pile in saturated soil considering the influence of radial deformation. Background technique [0002] Under the vertical harmonic load, the dynamic interaction between soil and rock-socketed pile plays an important role in geotechnical, seismic and structural engineering. Usually, the foundation is simulated as an elastic continuum, and the pile is simulated as a beam. First, the basic solution is obtained by solving the motion equation of the elastic medium, and then the pile-soil interaction problem is solved according to the boundary conditions and continuity conditions between the pile and soil. These problems are usually It is represented by the impedance function or velocity response of the pile-soil system, and can be used for dynamic design of structures and ...

AI Technical Summary

Problems solved by technology

[0005] The purpose of the embodiments of the present invention is to provide a method for determining the axisymmetric dynamic response of rock-socketed piles in saturated soil considering the influence of radial deformation, so as to solve the existing research on the axisymmetric interaction between piles and saturated soil under axial load The method does not consider the radial deformation of piles and soil, which leads to inaccurate axisymmetric interaction between piles and saturated soil under axial load.

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