St. Petersburg Mining University (Russia):

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

REC «Mekhanobr-Tekhnika» (Russia):
Kazakov S. V., Ph. D. in Engineering Sciences, Leading Design Engineer, atom2@inbox.ru

Self-synchronization condition of mechanical vibration exciters (unbalanced rotors) is used in design and production of vibratory machines of different purpose – screens, crushers, conveyors, mills, etc. This effect permits to considerably simplify machine structure and decrease dynamic loads on their various elements. This work is devoted to theoretical study of self-synchronization condition of mechanical vibration exciters in vibratory cone crusher based on three-mass system. The task is solved on the assumption of that crusher’s body and cone, as well as vibrating platform (carrying body) on which vibration exciters are mounted, are solid bodies that may carry out only translational motion (vertical vibrations) relative to each other. With that, as integrated solid body, they carry out plane-parallel motion, that is to say, crusher is five-degree-of-freedom system. Vibration exciters are assumed to be single-frequency, of unbalance type; simple (aliquant) synchronization is studied. As a result of the studies, the necessary and sufficient conditions for existence and stability of crusher’s synchronous motion were established, and the laws of steady synchronous motion of vibration exciters and vibrating bodies (crusher’s body, cone, and carrying body) were obtained. Furthermore, the derived formulas permit to solve the inverse problem («synthesis problem»), consisting in the choice of machine’s geometrical and inertia parameters, as well as operating synchronous angular velocity, which provide for crusher’s steady operation with specified capacity and reduction ratio.

Acknowledgements The work was performed with the financial aid from the Ministry of Education and Science of the Russian Federation for the Project No. 14.579.21.0048 UIPNI RFMEF157914X0048. R&D registration number 114093070077.

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