A semi-analytical model for axial soil-pile interaction in generalized inhomogeneous soils
A semi-analytical model for axial soil-pile interaction in generalized inhomogeneous soils
The seminal work of Nogami & Novak in 1976 for the harmonic response of end-bearing piles in homogeneous soil strata, is extended in this study to generate a benchmark semi-analytical model for piles in vertically inhomogeneous soils. Following the classical dynamic model and previous work to treat soil inhomogeneity under static axial loads, the pile is modelled as a rod, and the soil as an approximate continuum of the Tajimi type. The approximation resides in reducing the number of the elastodynamic equations which govern the soil motion to one, which satisfies the equilibrium in the vertical direction, by eliminating certain stresses and displacements in the soil. This is based on the physically motivated assumption that the vertical normal and shear stresses in the soil are essentially controlled exclusively by the vertical component of the soil displacement, for the axisymmetric problem at hand. Soil inhomogeneity is introduced via a generalized power law variation of the soil shear modulus with depth. The proposed generalized formulation can treat any type of soil inhomogeneity by employing in the solution pertinent shape functions to capture the soil modes, which satisfy the boundary conditions of the pile-soil system. The solution is expressed in terms of series and includes: (i) displacements and stress fields in the soil and along the pile-soil interface; (ii) displacements and normal stresses along the pile length, and (iii) dynamic pile head stiffness and damping.