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| Nonlinear vibration and dynamic stability analysis of a rotor-blade system |
| LI Bingqiang1，MA Hui1,2，ZENG Jin1，GUO Xumin1，CUI Can1 |
1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China；
2. Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang 110819, China
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Abstract The vibration response and dynamic stability of a coupled rotor-blade system were investigated under main resonances. The equations of motion were derived by using the Hamilton principle, and then the Coleman and complex transformations were adopted to obtain the reduced-order system. The nonlinear vibration and stability of the system were studied by the multiple scales method. The influences of normal rubbing force, friction coefficient, damping, support stiffness, mass eccentricity of the rotor on the steady state response of rotor-blade system were investigated. The accuracy of the multiple scales perturbation solution was verified by the Runge-Kutta numerical integration method. The results show that greater rubbing force will increase the response amplitude and make the system instable. In addition, increasing the damping will enhance the stability of the system. Along with the increasing of mass eccentricity and support stiffness, the jump-down frequency, the resonant peak, as well as the frequency range in which the system has unstable response will increase. It needs larger damping to guarantee the stability of the system.
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Received: 04 December 2017
Published: 15 March 2019
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