Some uninvestigated factors that affect the vibroactivity in drives of cyclic mechanisms upon the introduction of electric engine characteristics have been analyzed. An engineering calculation method for similar systems based on applying transfer matrixes that is well adapted to computer procedures has been proposed. Specific effects related to the high equivalent compliance of the engine and variations in the reduced inertial and elastic-dissipative characteristics has been observed. Based on this, one must substantially correct the frequently used dynamic model in which the engine’s contributions are limited by its additional frequency and variations in the inertial characteristics of the vibrating system are ignored. The efficiency of implementing the quasi-steady-state conditions has been demonstrated while optimizing parameters.