The contribution is devoted to the seismic vibration analysis of nonconserv
ative mechanical systems with viscodampers by a new modified response spect
rum method. The method is based on the modal analysis of non-classic damped
systems with frequency dependent viscodampers. The seismic excitation is d
escribed by an acceleration response spectrum. The method is applied for th
e seismic analysis of the primary coolant loop of the nuclear reactor.