Dynamic response of a large-diameter end-bearing pile in permafrost

Abstract

Vertically dynamic model of a large-diameter pile in frozen soil is established, in which the frozen soil is described to a saturated frozen porous media, and the large diameter end-bearing pile is simplified to a one-dimensional rod considering the influence of the transverse inertia effect. Analytical solutions of the longitudinal coupling vibration between the end-bearing pile and the frozen soil are obtained using Helmholtz decomposition and variable separation methods in the frequency domain. By comparing the dynamic responses of the longitudinal vibration of the large diameter end-bearing pile with the traditionally one-dimensional pile, as well as the impedance factor of the frozen soil layer induced by the pile vibration, these demonstrate the influence of the transverse inertia effect on the high frequency vibration of large diameter pile is significant, and the influence on the pile with a smaller slenderness ratio is larger. The temperature and the Poisson’s ratio also have significant effects on the vertical vibration of large diameter piles in frozen soil, which cannot be ignored in the analysis.

A Novel Calculate Model of Shear Deformation and Relative Displacement of Pile–Soil Interface in Warm Frozen Soil Foundation

“…(1) Soil displacement calculation for TPPR By substituting Equation (2) τ p1 equation into Equation ( 16), TPPR displacement D s1 can be solved, as shown in Equation (17).…”

“…Through the analysis of the overall deformation mode of foundation piles in warm frozen soil foundation, it can be found that the total settlement displacement of foundation piles in warm frozen soil foundation consists of two parts: the relative displacement D p of foundation pile-frozen soil interface and the displacement D s of frozen soil around pile outside the interface, as shown in Figure 1 [17][18][19][20], that is, the total displacement of pile body in warm frozen soil foundation can be obtained by calculating these two parts respectively by scientific and reasonable means. However, due to the particularity of the warm frozen soil foundation, the interaction between the foundation pile and the frozen soil around the pile is closely related to the temperature [21][22][23][24][25].…”