STUDY ON THE CHARACTERISTICS OF THE NONLINEAR COUPLED FLEXURAL-TORSIONAL VIBRATION OF THE ROTOR

摘要

In the paper, a set of the partial differential equation of the coupled flexural-torsional vibration of the bend rotor at base of mass unbalance is established. Some numerical calculations by means of the numerical integral method are presented. The new understanding of the dynamic characteristics of the nonlinear coupled flexural-torsional vibration is achieved, such as that the mass unbalance is a necessary but not sufficient condition for coupled flexural-torsional resonance; the residual bend of rotor plays a vital role in deciding whether the coupled flexural-torsional resonance will happen or not and others. The calculations and the analyses indicate that the coupled flexural-torsional resonance is featured with the characteristic of chaotic vibration.