The article provides a brief overview of methods for assessing the seismic stability of systems using elastomeric supports under seismic impacts of the "Project earthquake" level. As part of the study, a set of dynamic and static calculations was performed, and two methods for calculating earthquake-resistant systems were considered: the linear-spectral method (LSM) and the direct dynamic method (PDM). The purpose of the research is to assess the possibility of using LST for seismic impacts of the PZ level on systems with elastomeric supports. It was found that the difference in the results of calculations for the two methods does not exceed 12 %. Thus, the SHEET can be used as the main tool for calculating seismically isolated systems under the seismic impact of the earth's surface area.