The paper considers issues connected with modeling of plate-type support behavior. Aseismic possibilities of the viscous interlayer to protect structures against longitudinal seismic vibrations are explored. The role of various factors is sequentially revealed, that is density and viscosity of the damping medium, vibration damping with time, specific load on the damping layer. The calculations made have shown that vibration damping occurs rather rapidly with small interlayer thicknesses when taking up high vertical loads.