Analytical solution of dynamic response of horizontal vibrating pile with different soil viscoelastic half-space types

Abstract

An analytical solution has been developed to investigate the dynamic responses of floating pile with different soil viscoelastic half-space types. The dynamic response of a pile is governed by 1D vibration theory, in which the pile is assumed to be viscoelastic material with a circular cross-section and can be divided into two pile segments in a soil-air system. Meanwhile, the dynamic solution for soil is achieved by the application of the potential function decomposition and the variable separation method. Moreover, an analytical solution considering the viscoelastic half-space of the soil free-field under horizontal SV wave is established. Furthermore, the dynamic pile-soil interaction is established and solved efficiently through a precise theoretical derivation based on the displacement compatibility and traction equilibrium at the interface between the pile and soil.The present solution is compared with the substructure method and analytical solution with a rigid foundation to verify the rationality of the present analytical solution. Then, the similarities and differences among several foundation types are discussed based on the present analytical solution. The results have a certain guiding significance for engineering structures.