Study On The Theory Of Self-synchronization For Horizontal Vibrating Centrifuger System

Vibrating centrifuger use vibration to strengthen the effect of coal dehydration,and it can make the coal get better dehydration index.In recent years,the development of the structure,variety and application of the vibrating centrifuger is very rapid,but its theoretical study is lagging behind practice for a long time.The knowledge obtained in the theoretical research is used to explain the test results,but in predicting device performance,selection and design calculation is usually by experience and test.Therefore,studying the dynamics of horizontal vibrating centrifuger,developing the theory of self-synchronization for horizontal vibrating centrifuger,has important theoretical significance and engineering practical value.In this paper,the theory of self-synchronization for horizontal vibrating centrifuger was studied,and some of the following works were accomplished:(1)The mechanical model of two kind of system was established.Kinetic energy,potential Energy and functions of energy dissipation of motion for the system were expressed.Then applying them to Lagrange's equation,the equations for motion for the systems are obtained.(2)The analytic expressions of HSG1400 horizontal vibrating centrifuger's vibrating system of steady state response is obtained by the transfer function method,the analytical expressions of relative motion response and VM1400 horizontal vibrating centrifuger's vibrating system steady state response was obtained by he method of small parameter.The dimensionless coupled equations of two eccentric rotors in the horizontal vibrating centrifuger's system was obtained by the modified small parameter averaging method.On the basis of existence and stability of zero solution of dimensionless coupling equation,the criterion of two the eccentric rotors's self-synchronization was deduced,two types of horizontal vibration centrifuger's two eccentric rotors self-synchronization condition was obtained;.The stability criterion of the self-synchronization of the two eccentric rotor and horizontal vibrating centrifuger's two eccentric rotor stability condition of self-synchronization was obtained which is based on the mean value of Hamilton.(3)Numerical analysis of two types of horizontal vibrating centrifuger was carried out,the frequency ratio range of horizontal vibrating centrifuger's system which can achieve self-synchronization and self-synchronization stability was obtained,the eccentric mass and gap distance on the effect of HSG1400 horizontal vibrating centrifuger's system self-synchronization state and the mass ratio on the effect of VM1400 horizontal vibrating centrifuger's system of self-synchronization state was discussed.(4)The gap distance on the effects of self-synchronization state in the HSG1400 horizontal vibrating centrifuger's system state and the mass ratio of on the effects of self-synchronization state VM1400 horizontal vibrating centrifuger's system was verified through the Runge Kutta method and the computer simulation.And it was proved that self-synchronization vibration and self-synchronization state's stability in two types of horizontal vibrating centrifuger system is correct.