International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

This article presents the general solution to the differential equations of motion for vibratory drives with both inertial and kinematic excitation in the first approximation during the passage through the resonance zone. Expressions for the maximum resonant amplitudes and the corresponding values of the phase and frequency were determined. An analysis of the resulting expressions is provided for the characteristic periods of acceleration and deceleration. The necessity of utilizing coupled dynamic models is underscored by the inherent instability observed in traditional simplified systems when operating beyond the natural frequency.