Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (8): 957-972.doi: https://doi.org/10.1007/s10483-011-1472-9

• Articles •    下一篇

Combined resonance of low pressure cylinder-generator rotor system with bending-torsion coupling

李军 陈予恕   

  1. School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China
  • 出版日期:2011-08-20 发布日期:2011-08-20

Combined resonance of low pressure cylinder-generator rotor system with bending-torsion coupling

 LI Jun, CHEN Yu-Shu   

  1. School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China
  • Online:2011-08-20 Published:2011-08-20

摘要: A nonlinear model of a low pressure cylinder-generator rotor system is presented to study sub-synchronous resonance and combined resonance. Analytical results are obtained by an averaging method. Transition sets and bifurcation diagrams are obtained based on the singularity theory for the two-state variable system. The bifurcation characteristics are analyzed to provide a basis for the optimal design and fault diagnosis of the rotor system. Finally, the theoretical results are verified with the numerical results.

Abstract: A nonlinear model of a low pressure cylinder-generator rotor system is presented to study sub-synchronous resonance and combined resonance. Analytical results are obtained by an averaging method. Transition sets and bifurcation diagrams are obtained based on the singularity theory for the two-state variable system. The bifurcation characteristics are analyzed to provide a basis for the optimal design and fault diagnosis of the rotor system. Finally, the theoretical results are verified with the numerical results.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals