Abstract:For the static problem of the generalized Gibson subgrade under the burial line source load, the Hankel integral transformation method is combined with the specific boundary conditions by equating the internal source load with the accumulation of continuous concentrated point loads in the same depth range. The solution of the subgrade soil in the Hankel transform domain under the internal source load is derived, and the Hankel inverse transform is used to transform the solution in the transform domain into the integral form solution in the physical domain.Then the vertical displacement solutions of the subgrade soil under three kinds of depth distribution line loads are obtained by integrating the solution along the depth direction, and the influence of the heterogeneity of the subgrade soil and the depth of load distribution depth on the vertical displacement of the subgrade surface soil is analyzed by using the numerical integral method for the deformation problem of the subgrade surface under the action of the depth distribution line source load. The results show that: (1) the heterogeneity of subgrade soil has a great influence on the vertical displacement of subgrade surface. Relatively speaking, the vertical distribution depth and load distribution form of line source load have little effect on the vertical displacement of the surface, and the vertical displacement of the surface is mainly affected by the shallow load. (2) the influence of load distribution depth on surface displacement is mainly reflected in the case of small soil heterogeneity, and it is the most significant when the load decreases along the depth.