This work deals with two-frequency nonstationary oscillations of the shallow cylindrical shell. It also analyzed the elastic foundation of the nonlinear law of base elasticity (Vinkler’s bed shells) with environment resistance propor-tionaly to oscillation velocity. According to the work (5.) the differencial equation of the first approximation are formed and the integration by Runge-Cutte methode is performed. This work reveals that in the resonance areas of their own frequencies for the nonstatiorary amplitudes, one cannot get the general conclusions about their action but the analysis must be done by means of curved stationary states. Also, one cannot formulate the clear limits of the forced frequency change velocity for some actions of the nonstationary amplitudes in the whole resonance area, but the analysis is performed separately for each case.