Rub-impact vibration characteristics of double-disc rotor system with magnetic bearings
Nonlinear vibration of rotor system is a complicated problem in engineering practice,especially the strong non-linear dynamic characteristics of rub-impact vibration of rotor system,which induces complex phenomena such as period-doubling bifurcation,Hopf bifurcation and chaos.A mechanical model of active magnetic bearing supporting double-disc rotator system considering rub-impact was established.On the basis of theory of non-linear dynamics and rotator dynamics,multi-parameter coupling and multi-objective co-simulation analysis were adopted.The dynamic behavior of the system was reflected by the periodic bifurcation diagram,rub-impact bifurcation diagram,axis track map,Poincaré map,maximum rub-impact force and duty cycle diagram obtained by numerical calculation of the variable step 4-order Runge-Kutta.The relationship between rub-impact vibration characteristics and structural parameters of complex rotor system was studied.The calculation results are drawn.The smaller the clearance threshold of the system and the lower the speed,the more complex and diverse the periodic rub-impact vibration,and the higher the peak value of the maximum rub-impact force and duty cycle curve caused by rub-impact.The larger the stator stiffness ratio of the system,the higher the vibration amplitude and impact speed of all kinds of periodic rub-impact vibration.The greater the maximum rubbing force.The larger the eccentric ratio of the system,the more diverse the types of periodic rub-impact vibration modes and the more chaotic windows of the system.The maximum rub-impact force and duty cycle of the system due to various periodic rub-impact vibrations are also higher.The occurrence area and transition law of basic periodic vibration,subharmonic vibration,almost periodic vibration and chaos are further discussed.The research results can effectively provide practical guidance for dynamic matching design,large data diagnosis and collaborative optimization of this type rotor system.
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