Chinese Journal of Theoretical and Applied Mechani ›› 1997, Vol. 29 ›› Issue (6): 733-739.DOI: 10.6052/0459-1879-1997-6-1995-291

• Research paper • Previous Articles     Next Articles

TRIPLE RESONANCES OF TORSIONAL VIBRATION OF A SHAFTING SYSTEM SIMULATING A GENERATOR SET ROTOR

,   

  1. 天津大学机械学院力学系,300072
  • Received:1900-01-01 Revised:1900-01-01 Online:1997-11-25 Published:1997-11-25

Abstract: A mathematical model of torsional vibration of the shafting system which has quadratic nonlinearities and harmonic excitation is established. By using of the improved averaging method for nonlinear oscillation, under the conditions ω 3≈2ω 2, ω 2≈2ω 1,and  Ω ≈ω 2, the first approximation solution and its corresponding steady-state solution of the triple resonances are obtained. The steady-state response curves are obtained and the singularity analysis is carried out. It is pointed out that the tr...

Key words: torsional vibration of a generator set rotor, triple resonances, internal resonance, singularity theory, improved averaging method