Yb. Kim et St. Noah, QUASI-PERIODIC RESPONSE AND STABILITY ANALYSIS FOR A NONLINEAR JEFFCOTT ROTOR, Journal of sound and vibration, 190(2), 1996, pp. 239-253
A modified HEM (Harmonic Balance Method)-AFT (Alternating Frequency Ti
me) method is developed to obtain quasi-periodic responses of a horizo
ntal Jeffcott rotor with a bearing clearance. Two truncated double har
monic expansions are used for calculating accurate quasi-periodic resp
onses. The winding number, which is created as an unknown period occur
ring due to cross-coupling force terms in the non-linear rotor system,
is obtained by applying the FFT algorithm. The stability analysis is
performed with only input frequency (rotational speed), which reveals
rich dynamical characteristics in a non-linear Jeffcott rotor for quas
i-periodic motion. (C) 1996 Academic Press Limited