Abstract
This article presents research results in seismic resistance of transport structures, anti-seismic design of roads, and the stability of slopes of railway subgrade embankments. The use of modern methods of wave mechanics for the correct assessment of the seismic resistance of the subgrade of the railway track and the determination of the most constructive optimal solutions are considered. The results of multivariate numerical experiments on studying the seismic stress state of the "subgrade-foundation" system are given. One of the most effective ways to determine ground motion is to use the accelerogram of a past earthquake. The analysis of the isoline of the components of seismic displacements and stresses in the subgrade body from the action of the horizontal and vertical components of the accelerogram has been carried out.