Analysis Of The Coupling Dynamics For A Near Resonance Horizontal Vibrating Centrifuge

Horizontal vibrating centrifuge is widely used dewatering equipment in coal preparation industry.In recent years,a lot of research work has been done in domestic,but there is still a huge gap between domestic and foreign till now.Problems like the unstable working performance,poor capacity and high energy consumption etc.still restrict the development of domestic products.Therefore,studying the kinetics characteristics and selecting the reasonable kinetics parameters is very significant to both theory and practical application.This paper studied the non-linear characteristics and self-synchronization theory for a near resonance horizontal vibrating centrifuge with piecewise-linear spring,the main works accomplished in this paper are as follows:(1)For a near resonance horizontal vibrating centrifuge with piecewise-linear spring,a four-DOFs kinetics model has been established.The equivalent stiffness has been obtained by using equivalent linearization method,and then a differential equations has been carried out.The force of materials has been analyzed and a piecewise mathematical model of materials force to screen basket has been established,the judging criteria of materials' movement types also has been confirmed.The capacity coefficient of the near resonance horizontal vibrating centrifuge has been defined and the contour lines in sliding region has also been obtained.(2)The dimensionless analytical solutions in horizontal direction have been obtained by using KBM method,and the influence of several main parameters such as mass ratio,gap ratio and materials mass ratio to the characteristics of the system also have been analyzed.The amplitude stable point with various materials mass based on the numerical analysis has been given.The computer simulation with the conditions of non-loading and loading,variation of excitation frequency and variation of spring gap also have been carried out,and the simulation results effectively proved the correctness of the theoretical analysis.(3)The dimensionless coupled equations of two unbalanced rotors of the horizontal vibrating centrifuge have been obtained by using the modified small parameter averaging method,and then the conditions of implementing synchronization and the stability conditions of synchronization have been carried out based on the existence and stability of zero solution of dimensionless coupling equation,then studied the influence of excitation frequency ratio spring gap ratio to the synchronous ability coefficient,generalized dynamic symmetry and synchronous stability coefficient.The simulation results effectively proved the correctness of the theoretical analysis.Finally,a recommended kinetic parameters selection method of a near resonance horizontal vibrating centrifuge system which ensure the requirement of self-synchronization,vibration isolation and amplitude increases with the increasing material mass has been carried out.