The article addresses excessive energy consumption in resonance vibration machines with inertial drives, widely used in mechanical engineering, construction, chemical, metallurgical, and mining industries. Conventional design approaches limit energy efficiency, motivating the modernization of one- and two-mass resonance systems into three-mass inter-resonance configurations. Using a method for determining inertia–stiffness parameters, the study ensures synchronous inter-resonance oscillatory modes, enhancing dynamic amplification and reducing drive power. Analytical modeling of the three-mass system, comprising active, intermediate, and reactive masses connected by elastic and damping elements, yields closed-form expressions for steady-state amplitudes and stiffness parameters. A phase-synchronization criterion is applied to determine the reactive mass, enabling convergence of resonance peaks and maximal dynamic gain. The proposed methodology provides a unified framework for upgrading existing resonance machines, achieving significant energy savings—up to an order of magnitude—while maintaining required oscillation amplitudes. These results offer a practical tool for energy-efficient modernization of industrial vibratory machinery with inertial drives.
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