Analysis of vibrations of the working body of the vibrating separator in the resonant mode

Abstract

This paper analyzes the nonlinear vibrations of the working body of a vibrating sepa-rator in resonant modes, focusing on the redistribution of energy between oscillation coordinates. Using the asymptotic averaging method, approximate solutions and aux-iliary equations are derived to study the spatial stability of oscillations under combina-tion resonances. It is shown that resonance relations involving the sum of natural fre-quencies and the excitation frequency do not disturb the planned technological pro-cess, ensuring stable operation of vibratory grain cleaning machines. The obtained re-sults define parameter conditions that ensure stable operation of vibratory grain clean-ing machines with helical oscillations of the working body.