The problem of the interaction of a structure with an elastic half-space is of practical interest for a number of reasons. Firstly, the structure and the soil on which it rests form a connected dynamic system, and the feedback from the structure to the soil layers can be significant. In this case, for example, the seismic action cannot be determined independently of the characteristics of the structure. Second, it is not always possible to select or model ground motion records that are representative of the specific ground conditions of a construction site. In this case, it is desirable to take into account the characteristics of the foundation array in the calculations. Thirdly, the soil can also interact with the structure, causing changes in its stress state.

The problem of dynamic interaction of structures with the foundation and the transmission of vibrations through the ground is associated with such sciences as engineering seismology, theory of seismic resistance, mechanics of a deformable solid body. This article deals with the problem of setting the design seismic impact on the structure.

On the basis of numerical modeling, an algorithm and a computer program for calculating a seismically insulated building have been developed, and the results of the dynamic behavior of the superstructure under various effects, including seismic in the form of given accelerograms of earthquakes, have been obtained. From the obtained results, using the example of a multi-storey frame building, it follows that the maximum acceleration in a seismically isolated model decreases by about 4 times compared to a model without seismic isolation. Also implemented hysteresis model Bouc-Wen and obtained results for different values of the parameters chosen so that the mathematical modeling data coincide with the experimental data