The Study Of Stability And Transient Characteristics Of Asymmetric Shaft Single-disk Rotor System With The External Torque Excitation

Asymmetric rotors systems that due to cyclical changes format stiffness parametersincentive system in operation process make dynamical behavior characteristics complex.When the rotor system works during normal operation, the torque between the rotorsachieve a balance, the unit operates within the allowable range near at a constant speedoperation. However, in some special conditions or fault condition, for example, when thebig power grid suddenly changes, the elastic torque shaft loses the balance, thereby theunit’s operating status is abnormal. This species situation occurs, the torque on the rotor notonly changes with the time, the unit will be serious when the rotational speed changes dueto the change in the torque. while the rotation rate of the rotor don’t change, the elastictorque has impacts to the stability of the system, and the other hand, due to the torque ofincentives change the rotor speed transient response of the system; therefore study thesetwo aspects of the asymmetric rotor-bearing system kinematics features more meaningful.Many experts and scholars have study the impact of torque on the rotor system resilientin the past mostly used torsion coupling model, but aiming at the relative stiffness of therotor and other systems, the bending vibration asymmetric deformation greater rotor system,a separate analysis of the lateral vibration of unbalanced rotor torque incentive system hasmore meaningful impacts. In this paper, the Riccati transfer matrix method was used, firstthe equations of motion were derived from a single disc rotor systems to multi-discdifferential equations of motion of the whole system, the external torque that containsincentives, asymmetric angular acceleration of the axis of rotation of the rotor systemdimensionless lateral vibration motion differential equations were established, the integrateduse of Floquet method and unlimited Hill equation eigenvalues of the matrix system was analyzed, discussed the stability of the system; used Runge-Kutta method of mathematicalmodel for numerical analysis to explore the cross-section of the damping coefficient of theopposite sex factor, plus or minus a constant torque, torque harmonic excitation, spanimpact on system stability analysis and comparison from the lateral vibration displacement,frequency, orbit angle. In other studies, such as when the system was under the acceleratedstate sectional anisotropy coefficient, external damping, angular acceleration, gravitycoefficient, torque incentive effect on the system transverse vibration amplitude andfrequency spectrum of the system with three-dimensional acceleration of the process ofexcitation frequency analyzed the impact of these mutual relations between the discussionof several studies, summed up the corresponding rules for non-symmetry axis of the rotor-bearing system to seek safety across the resonance region smooth acceleration and selectedthe appropriate damping, gravity parameters, providing reference.Finally, the above simulation was verified by the method of the various experiments.