The effect of speed of balanced rotor on nonlinear vibrations associated with ball bearings

Harsha, S. P.; Sandeep, K.; Prakash, R.

doi:10.1016/s0020-7403(03)00064-x

Cited by 109 publications

(66 citation statements)

References 12 publications

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“…Tiwari et al (2000) has studied the effect of radial internal clearance -the appearance of sub-harmonics and Hopf bifurcation is seen theoretically where as the shift in the peak response is also observed experimentally. Harsha et al (2003) analysed the nonlinear behaviour of a high speed horizontal balanced rotor supported by a ball bearing. The conclusion of this work shows that the most severe vibrations occur when the varying compliance frequency (VC) and its harmonics coincide with natural frequency.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration signature analysis of a rotor supported ball bearings

Yadav¹,

Pandya²,

Harsha

2017

IJNDC

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Abstract:The dynamic behaviour of a high speed balanced rotor supported on deep groove ball bearings (SKF-6205) has been studied by numerically simulated results. Since, internal radial clearance (IRC) is inevitably present in all class and types of bearing, in this paper it (IRC-C3) is considered as main source of nonlinearity with speed as control parameter. The complex mathematical model simulates nonlinear vibrations due to both nonlinear contact stiffness and damping at the contact of rollers and races. The contact of rollers with races are treated as nonlinear springs with contact damping whose stiffnesses are obtained by using Hertzian elastic contact deformation theory. The explicit type numerical integration technique Runge-Kutta-fourth-order method is used to solve the coupled nonlinear differential equations iteratively. Various techniques like Poincaré maps, orbits plots, and power spectra are used to study the nature of response. At lower speed transient chaos is observed which becomes stable through periodic doubling bifurcation at the medium speed. Hopf bifurcation is also observed at higher speed due to emergence of limit cycle.

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Section: Introductionmentioning

confidence: 99%

Nonlinear vibration signature analysis of a rotor supported ball bearings

Yadav¹,

Pandya²,

Harsha

2017

IJNDC

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“…Harsha [1] simulated some dynamic response of rotor supported by ball bearings, in his works non-linear dynamic responses were found to be associated with the ball passage frequency and severe vibrations occur when number of balls and waves of outer race are equal. Awrejcewicz [2][3][4] studied nonlinear characteristics of rotor bearing system using numerical method, instability regions of the rotor system were given for engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics Analysis of a Gear-Shaft-Bearing System with Breathing Crack and Tooth Wear Faults

Cui¹

2015

TOMEJ

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Considering backlash, time-varying mesh stiffness and radial clearance of bearing, nonlinear dynamic model of gear bearing flexible shaft system is established taking into account breathing crack in shaft and tooth wear. Nonlinear dynamic equations are solved by Runge-Kutta method. Effect of backlash, crack in shaft and tooth wear faults on the nonlinear dynamic behavior of gear-shaft-bearing system is studied. The results show that gear-shaft-bearing system may change from periodic motion to non-periodic motion as backlash increases, and gear pair change from normal mesh to tooth separation, double-sided impact fault. If crack fault appears, quasi-periodic and chaos motion region increases, and gentle crack fault can result in instantaneous tooth separation and double-sided impact faults. Serious tooth wear fault will also induce tooth separation and double-sided impact faults. If both shaft crack and tooth wear faults exist, tooth wear fault will be intensified by double-sided impact fault from shaft crack, which will result in early failure of the gear system.

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“…Zhang studied bifurcations and chaos characteristics of rolling rotor system with different clearance and speed considering the influence of radial clearance on the rolling bearing stiffness [2]. Harsha [3] studied the impact of speed on nonlinear vibration of balanced rotor supported by rolling bearing and analyzed the phenomena of periodic, quasi-periodic and chaotic of rolling bearing. Cui [4] studied the chaotic behavior of the rolling bearing of flexible rotor system, the study shows that with the increase of radial clearance, the chaotic areas of the system increases.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the nonlinear dynamic response of gyroscope rotor system considered Elasto-Hydrodynamic Lubrication

He¹,

Xu²,

Zhang³

2015

Advances in Computer Science Research

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Abstract. This essay made study of gyroscope rolling-rotor system. The composite stiffness under the state of elasto-hydrodynamic lubrication and nonlinear contact force considered the effects of minimum oil film thickness were calculated. A dynamic equation was established considered the calculated stiffness and bearing force and was numerically solved to obtain the bifurcation diagram, Poincar maps, spectrum, phase diagrams and shaft orbit with changes of speed and radial clearance to analysis the nonlinear dynamic response of the system. The results showed that: under EHL state, with changes of speed and radial clearance, the system appears various forms of response, and there is a period-doubling bifurcation phenomenon.

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The effect of speed of balanced rotor on nonlinear vibrations associated with ball bearings

Cited by 109 publications

References 12 publications

Nonlinear vibration signature analysis of a rotor supported ball bearings

Nonlinear vibration signature analysis of a rotor supported ball bearings

Nonlinear Dynamics Analysis of a Gear-Shaft-Bearing System with Breathing Crack and Tooth Wear Faults

Analysis of the nonlinear dynamic response of gyroscope rotor system considered Elasto-Hydrodynamic Lubrication

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