The invention discloses a method for analyzing
longitudinal vibration of tubular
pile on the basis of a radial heterogeneous
viscous damping soil model. According to the method, outer soil and inner soil are assumed to be a series of thin
layers which are independent from each other, and mutual effects among the soil
layers are ignored; a soil body around the
pile is portioned into an interior area and an exterior area, the interior area is partitioned into an arbitrary number of circular
layers, a soil body unit in each circular layer is a homogeneous and isotropic linear elastic body, a soil body in the exterior extend infinitely along a radial direction,
viscous damping is adopted for soil body material damping, and radial displacements of the soil bodies are ignored; on two sides of a
pile soil face and every circular layer soil face are continuous in displacements and balanced in stress, and vibration of a pile soil
system appears as small deformation; concrete in a pile body is linearly elastic, and
stress wave propagation in the pile body meets a plane cross-section assumption; according to basic theories of elastokinetics,
longitudinal vibration equations for the soil body around the pile, an inner soil body and the pile body are established; by Laplace conversion, the three equations in the step 5 are solved to obtain a time-domain speed response function of any excitation force at the pile top.