Nonlinear vibration phenomenon of an aircraft rub-impact rotor system due to hovering flight

Abstract This paper focuses on the nonlinear vibration phenomenon caused by aircraft hovering flight in a rub-impact rotor system supported by two general supports with cubic stiffness. The effect of aircraft hovering flight on the rotor system is considered as a maneuver load to formulate the equations of motion, which might result in periodic response instability to the rotor system even the eccentricity is small. The dynamic responses of the system under maneuver load are presented by bifurcation diagrams and the corresponding Lyapunov exponent spectrums. Numerical analyses are carried out to detect the periodic, sub-harmonic and quasi-periodic motions of the system, which are presented by orbit diagrams, phase trajectories, Poincare maps and amplitude power spectrums. The results obtained in this paper will contribute an understanding of the nonlinear dynamic behaviors of aircraft rotor systems in maneuvering flight.

[1]  Tejas H. Patel,et al.  Vibration response of a cracked rotor in presence of rotor–stator rub , 2008 .

[2]  Celso Grebogi,et al.  Archetypal oscillator for smooth and discontinuous dynamics. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Cai-Wan Chang-Jian,et al.  Non-linear dynamic analysis of rub-impact rotor supported by turbulent journal bearings with non-linear suspension , 2008 .

[4]  YuShu Chen,et al.  Bifurcation analysis on full annular rub of a nonlinear rotor system , 2011 .

[5]  Bin Xu,et al.  Analytical study of nonlinear synchronous full annular rub motion of flexible rotor–stator system and its dynamic stability , 2009 .

[6]  Agnes Muszynska,et al.  Chaotic responses of unbalanced rotor/bearing/stator systems with looseness or rubs , 1995 .

[7]  Zhengce Sun,et al.  Analysis on complicated characteristics of a high-speed rotor system with rub-impact , 2002 .

[8]  Qihan Li,et al.  The existence of periodic motions in rub-impact rotor systems , 2003 .

[9]  Bangchun Wen,et al.  Time-frequency features of two types of coupled rub-impact faults in rotor systems , 2009 .

[10]  Paolo Pennacchi,et al.  Thermally induced vibrations due to rub in real rotors , 2007 .

[11]  Arthur W. Lees,et al.  THE INFLUENCE OF TORSION ON ROTOR/STATOR CONTACT IN ROTATING MACHINERY , 1999 .

[12]  H. Diken.  NON-LINEAR VIBRATION ANALYSIS AND SUBHARMONIC WHIRL FREQUENCIES OF THE JEFFCOTT ROTOR MODEL , 2001 .

[13]  Yeon Sun Choi.  On the contact of partial rotor rub with experimental observations , 2001 .

[14]  Cai-Wan Chang-Jian,et al.  Chaos of rub-impact rotor supported by bearings with nonlinear suspension , 2009 .

[15]  Qingjie Cao,et al.  Resonances of the SD oscillator due to the discontinuous phase , 2011 .

[16]  Fulei Chu,et al.  Simulation of rotor’s axial rub-impact in full degrees of freedom , 2007 .

[17]  Sunil K. Sinha,et al.  Dynamic characteristics of a flexible bladed-rotor with Coulomb damping due to tip-rub , 2004 .

[18]  Cai-Wan Chang-Jian,et al.  Chaos and bifurcation of a flexible rub-impact rotor supported by oil film bearings with nonlinear suspension , 2007 .

[19]  F. Chu,et al.  BIFURCATION AND CHAOS IN A RUB-IMPACT JEFFCOTT ROTOR SYSTEM , 1998 .

[20]  Tejas H. Patel,et al.  Coupled bending-torsional vibration analysis of rotor with rub and crack , 2009 .

[21]  Guanrong Chen,et al.  Nonlinear responses of a rub-impact overhung rotor , 2004 .

[22]  Zhuangde Jiang,et al.  Nonlinear dynamic analysis of fractional order rub-impact rotor system , 2011 .

[23]  Bangchun Wen,et al.  Periodic Motion Stability of a Dual-Disk Rotor System with Rub-Impact at Fixed Limiter , 2009 .

[24]  Agnes Muszynska,et al.  Rotor-to-stator, rub-related, thermal/mechanical effects in rotating machinery , 1995 .

[25]  Saeed Ziaei-Rad,et al.  The effects of lateral-torsional coupling on the nonlinear dynamic behavior of a rotating continuous flexible shaft-disk system with rub-impact , 2013, Commun. Nonlinear Sci. Numer. Simul..

[26]  J. Andersons,et al.  Overcritical high-speed rotor systems, full annular rub and accident , 2006 .

[27]  Cai-Wan Chang-Jian,et al.  Nonlinear analysis of a rub-impact rotor supported by turbulent couple stress fluid film journal bearings under quadratic damping , 2009 .

[28]  Mei Zhao,et al.  Nonlinear analysis of a rub-impact rotor-bearing system with initial permanent rotor bow , 2008 .

[29]  D. Ewins,et al.  The Harmonic Balance Method with arc-length continuation in rotor/stator contact problems , 2001 .

[30]  Junguo Wang,et al.  Nonlinear dynamic analysis of a rub-impact rotor supported by oil film bearings , 2013 .