Super-harmonic Resonance Analysis on Torsional Vibration of Misaligned Rotor Driven by Universal Joint
The super-harmonic resonance of the nonlinear torsional vibration of misaligned rotor system driven by universal joint was studied considering both natural structure misalignment and actual error misalignment. Utilizing multi-scale method, the periodic solution of weakly nonlinear torsional vibration equation was obtained corresponding to super-harmonic resonance, including amplitudefrequency and phase-frequency characteristic expressions of steady periodic solution. The stability of equilibrium point was investigated using Lyapunov first approximate stability theory, then the stable region and unstable region on the amplitude of the super-harmonic resonance periodic solution, which varied with the detuning parameter. At last, the driving shafts steady periodic motion of the first approximation and its calculation simulation were carried out according to the kinetic relation about driven shaft and driving shaft. It is found that jumping phenomenon and dynamic bifurcation occur when the rotating angular velocity of driving shaft is half of the natural frequency of the deriving system. The results above indicate the fundamental characteristic of the nonlinear dynamic on the misaligned rotor, also applying the foundation for advanced bifurcation and singularities analysis.
torsional vibration super-harmonic resonance multi-scale method stability misaligned rotor
Changlin Feng Yongyong Zhu Deshi Wang
Department of Weaponry Engineering, Naval University of Engineering, wuhan 430033, china
国际会议
2010 International Conference on Advanced Mechanical Engineering(2010年先进机械工程国际学术会议 AME 2010)
洛阳
英文
1226-1231
2010-09-04（万方平台首次上网日期，不代表论文的发表时间）