The effect of bearing cage run-out on the nonlinear dynamics of a rotating shaft

Nataraj, C.; Harsha, S. P.

doi:10.1016/j.cnsns.2006.07.010

Cited by 48 publications

(37 citation statements)

References 14 publications

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“…[11][12][13] studied vibrations of shafts with radial clearance. Nonlinear phenomena like bifurcation and chaos have been reported in rolling element bearings [14][15][16][17][18][19][20][21][22][23]. Sub-harmonic, intermittency and quasi-periodic routes to chaos have been reported in these bearing models.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear modeling and analysis of a rolling element bearing with a clearance

Kappaganthu

Nataraj

2011

Communications in Nonlinear Science and Numerical Simulation

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Section: Introductionmentioning

confidence: 99%

Nonlinear modeling and analysis of a rolling element bearing with a clearance

Kappaganthu

Nataraj

2011

Communications in Nonlinear Science and Numerical Simulation

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“…Mevel and Guyader [18] observed experimentally the existence of two different routes to chaos in ball bearing dynamic motion. Nataraj and Harsha [19] investigated the nonlinear dynamic behavior of an unbalanced rotor-bearing system due to cage run-out. They indicated that the responses can be placed in three categories: periodic with no sensitivity to initial conditions or small variations of system parameters, quasi-periodic and chaotic with extreme sensitivities to both the initial conditions and small variations in the system parameters.…”

Section: Introductionmentioning

confidence: 99%

Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings

Sinou

2009

Mechanism and Machine Theory

101

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To cite this version:Jean-Jacques Sinou. Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings. Mechanism and Machine Theory, Elsevier, 2009, 44 (9) AbstractThis study deals with the non-linear dynamic response of a flexible rotor supported by ball bearings. The excitation is due to unbalance force. The finite element rotor system is composed of a shaft with one disk, two flexible bearing supports and a ball-bearing element where the non-linearities are due to both the radial clearance and the Herztian contact between races and rolling elements. A numerical analysis is performed to analyze the non-linear behavior of this bearing rotor by using the Harmonic Balance Method with appropriate condensation located only on the non-linear coordinates of the system in order to minimize computer time. The condensation process reduces the original non-linear rotor system by focusing only on the solution of the non-linear equations of the Fourier coefficients associated with the system's non-linear components. In this study, the procedure is developed for the estimation of the harmonic and super-harmonic responses of the complex rotor system. Consequently, the non-linear unbalance responses and the associated orbits of the bearing rotor will be investigated. Moreover, the transition from contact to no-contact states between rolling elements and races, and the associated restoring contact forces are calculated for different speeds of the unbalanced rotor. Finally, hardening-type nonlinearity or softening-type nonlinearity due to the effects of radial clearance and unbalance mass are examined.

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“…Taken into account the flexibility of the rings, the dynamic behavior of a cylindrical roller bearing leads to a smoother global response with less cage instabilities [27]. Nataraj [28] investigated the nonlinear dynamic behavior of an unbalanced rotor-ball bearing system due to cage run-out, in which periodic motion, quasi-periodic oscillations and chaotic response are observed. The sub-harmonic resonance of a symmetrical rotor-ball bearings system was studied numerically and experimentally, the occurrence of which is attributed to a complex influence of Hertzian contact forces and internal clearance of ball bearings; however, the effect of unbalance load is proved to be minor [29].…”

Section: Introductionmentioning

confidence: 99%

Turning maneuver caused response in an aircraft rotor-ball bearing system

et al. 2014

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This paper focuses on the nonlinear response caused by aircraft turning flight in a rotor-ball bearing system with internal clearances and Hertzian contact forces. The equations of motion are formulated by using Lagrange equation, where the aircraft turning flight is modeled as a maneuver load. Numerical analyses are carried out to detect the response of the system under maneuver load. The sub-harmonic resonance and irregular motions subjected to the maneuver load are obtained and presented by bifurcation diagrams, amplitude spectrum diagrams, Poincare maps and phase portraits. Two typical patterns that the maneuver load inducing response are found: one is the alternating of period 2 motion and period 1 motion for ω = 1,350 rad/s; the other is the alternating of quasi-periodic motion and period 2 motion for ω = 1,470 rad/s. Moreover, mass eccentricity shows a significant effect on the sub-harmonic resonance of the rotor-ball bearing system under turning flight, which is different from that without considering maneuvering flight condition (Bai and Zhang in Int J Nonlinear Mech 50:1-10, 2013). The results obtained in this paper will contribute an understanding of the nonlinear dynamic behaviors of aircraft rotor systems in maneuvering flight.

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The effect of bearing cage run-out on the nonlinear dynamics of a rotating shaft

Cited by 48 publications

References 14 publications

Nonlinear modeling and analysis of a rolling element bearing with a clearance

Nonlinear modeling and analysis of a rolling element bearing with a clearance

Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings

Turning maneuver caused response in an aircraft rotor-ball bearing system

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