“…Note that when developing such type of vibrating machines, as a rule, the issue of their stable operation at a predetermined excitation frequency, usually at a pre-resonant or beyond-resonant frequency, is investigated [1,4,7,8]. For machines with automatic control systems for vibration modes, and in particular resonance machines, it is of considerable interest to analyze synchronous motion regimes in resonant regions in which, due to the occurrence of finite displacements and nonstationary nature of the technological load, the nonlinear features of the system behavior are appeared to the greatest degree [3,5,[8][9][10][11].…”