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Nonlinear Analysis of Rod Fastened Rotor under Nonuniform Contact Stiffness

Jiaqi Li, Yao Li, Fan Zhang, Yinli Feng

2020Shock and Vibration15 citationsDOIOpen Access PDF

Abstract

Rod fastened rotor is widely used in gas turbine, aero engine, and other occasions. The bending stiffness of the contact interface directly affects the stable operation of the rotor. Dynamic model of the rod fastened rotor-bearing system has been established considering nonuniform stiffness of interface. The motion equation of this system has been deduced from Lagrange’s equations. The linear dynamic characteristics of this rotor has been investigated, such as Campbell diagram, critical speed, and formation, and the nonlinear characteristics of this system, such as chaos and bifurcation, has been investigated too. The result shows that “bistable state” characteristic appeared on the rod fastened rotor system; that is, there are two critical speeds for each order, and they are all positive precession critical speed, and the amplitude response to the lower critical speed is much larger than that its counterparts to the higher critical speed. In terms of nonlinear characteristics, the rod fastened bearing system has experienced periodic 1 motion, multiple periodic motion, quasi-periodic motion, periodic 1 motion, and chaotic motion successively.

Topics & Concepts

Critical speedRotor (electric)Helicopter rotorNonlinear systemBistabilityMechanicsStiffnessEquations of motionBearing (navigation)BifurcationPhysicsPrecessionBending stiffnessControl theory (sociology)Classical mechanicsStructural engineeringEngineeringComputer scienceAstronomyArtificial intelligenceQuantum mechanicsControl (management)Tribology and Lubrication EngineeringMagnetic Bearings and Levitation DynamicsAdhesion, Friction, and Surface Interactions
Nonlinear Analysis of Rod Fastened Rotor under Nonuniform Contact Stiffness | Litcius