St. Petersburg Mining University (St. Petersburg, Russia):

Shishkin E. V., Vice-Head of Chair, Candidate of Engineering Sciences, Associate Professor, shishkin_ev@spmi.ru

REC «Mekhanobr-Tekhnika» (St. Petersburg, Russia):
Kazakov S. V., Leading Design Engineer, Candidate of Engineering Sciences, atom2@inbox.ru

The work is dedicated to a theoretical research on disintegrated material effect upon vibrating system dynamics and stability of operating regime of the vibratory apparatus with three-dimensional motion of movable working elements. The apparatus in question is described. The machine’s design permits to regulate inclination angles of mechanical vibration exciters, thereby realizing three-dimensional motion of movable operating elements, which, in its turn, provides for changes in crushed product processing characteristics over a wide range. Disintegrated material effect upon the machine’s vibrating part is taken account of approximately — through introduction of a linear viscodamper between crushing bodies. Damping coefficient value may be calculated through experimental determination of power consumption in synchronous vibrations period of the vibratory apparatus. In this case, the machine’s dynamic design in question may be used approximately for its operational regime analysis. As a result of the conducted research, the vibratory apparatus forced vibration laws were determined, taking into account viscous resistance to movement, also, the machine power balance equation in working mode and the equations for determination of equivalent viscous resistance coefficients β₁ and β₂ were obtained. In addition to it, the conditions for existence of synchronous out-of-phase motion mode of working elements, required for the vibratory apparatus efficient and steady operation, were formulated. These conditions impose a certain restriction upon maximum power of electric motor in the machine’s working mode, corresponding to power consumption in material crushing.
Financial support was provided by the Russian Science Foundation № 17-79-30056 (project REC «Mekhanobr-Tekhnika»).

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