Sage Journals: Discover world-class research

Abstract

Owing to orbital rotation of the rolling element complement and depending on the state of bearing preload, the dynamic stiffness of bearing alters. This causes a vibration at a frequency equivalent to the number of rolling elements multiplied by the cage speed named as variable compliance vibration, which could be much larger than the system nature frequencies. In this paper, the resonance effect induced by the variable compliance vibration of an elastic rotor is discussed. Simplified bearing and the Timoshenko elements are employed to model the system, and then cascade plots and frequency spectrums are mainly obtained as results with two types of resonance in low-speed region. Firstly, resonance of variable compliance frequency would occur while the variable compliance frequency meets the system nature frequencies, which are different in the horizontal and vertical directions. Secondly, resonance of sub-harmonic frequencies which are close to the system nature frequencies would occur while the variable compliance frequency meets the sum of system nature frequencies.

Keywords

Resonance roller bearing variable compliance effect elastic rotor roller bearing–rotor system

Get full access to this article

View all access options for this article.

References

Aini

Rahnejat

Gohar

. A 5 degrees of freedom analysis of vibrations in precision spindles. Int J Mach Tools Manuf 1990; 30: 1–18.

Aini

Rahnejat

Gohar

. An experimental investigation into bearing-induced spindle vibration. Proc IMechE, Part C: J Mechanical Engineering Science 1995; 209: 107–114.

Lynagh

Rahnejat

Ebrahimi

. Bearing induced vibration in precision high speed routing spindles. Int J Mach Tools Manuf 2000; 40: 561–577.

Rahnejat

Gohar

. The vibrations of radial ball bearings. Proc IMechE, Part C: J Mechanical Engineering Science 1985; 199: 181–193.

Tiwari

Gupta

Prakash

. Dynamic response of an unbalanced rotor supported on ball bearings. J Sound Vib 2000; 238: 757–779.

Sinou

. Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings. Mech Mach Theory 2009; 44: 1713–1732.

Perret

. Elastiche spielschwingungen konstant belaster walzlger. Werkstatt und Betrieb 1950; 3: 354–358.

Meldau

. Die Bewegung der Achse von walzlagern bei geringen Drehzahlen. Werkstatt und Betrieb 1951; 7: 308–313.

Sunnersjo

. Varying compliance vibrations of rolling bearings. J Sound Vib 1978; 58: 363–373.

10.

Fukata

Gad

Kondou

. On the radial vibration of ball bearings: Computer simulation, Tokyo, Japan: Japan Society of Mechanical Engineers, 1985.

11.

Mevel

Guyader

. Routes to chaos in ball bearings. J Sound Vib 1993; 162: 471–487.

12.

Sankaravelu

Noah

Burger

. Bifurcation and chaos in ball bearings. Nonlinear Stochastic Dynam 1994; 192(78): 313–325.

13.

Tiwari

Gupta

Prakash

. Effect of radial internal clearance of a ball, bearing on the dynamics of a balanced horizontal rotor. J Sound Vib 2000; 238: 723–756.

14.

Harsha

Sandeep

Prakash

. The effect of speed of balanced rotor on nonlinear vibrations associated with ball bearings. Int J Mech Sci 2003; 45: 725–740.

15.

Harsha

. Nonlinear dynamic analysis of an unbalanced rotor supported by roller bearing. Chaos Solitons Fract 2005; 26: 47–66.

16.

Upadhyay

Harsha

Jain

. Analysis of nonlinear phenomena in high speed ball bearings due to radial clearance and unbalanced rotor effects. J Vib Control 2010; 16: 65–88.

17.

Matsubara

Rahnejat

Gohar

. Computational modelling of precision spindles supported by ball bearings. Int J Mach Tools Manuf 1988; 28: 429–442.

18.

Sinou

. Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings. Mech Mach Theory 2009; 44: 1713–1732.

19.

Nelson

. A finite rotating shaft element using Timoshenko beam theory. J Mech Des-Trans ASME 1980; 102: 793–803.

20.

Hertz

. Ueber die Vertheilung der Electricität auf der Oberfläche bewegter Leiter. Annalen der Physik 1881; 249: 266–275.

21.

Kushwaha

Rahnejat

Gohar

. Aligned and misaligned contacts of rollers to races in elastohydrodynamic finite line conjunctions. Proc IMechE, Part C: J Mechanical Engineering Science 2002; 216: 1051–1070.

22.

Johns

Gohar

. Roller-bearings under radial and eccentric loads. Tribol Int 1981; 14: 131–136.

23.

Harris

Kotzalas

. Rolling bearing analysis, New York: Wiley, 1984.

24.

Palmgren

. Ball and roller bearing engineering, University of Michigan, SKF Industries, 1959.

25.

Gupta

. Dynamics of rolling-element bearings, 1: Cylindrical roller bearing analysis. J Lubric Technol-Trans ASME 1979; 101: 293–304.

26.

Chippa

Sarangi

. On the dynamics of lubricated cylindrical roller bearings, part I: Evaluation of stiffness and damping characteristics. Tribol Trans 2013; 56: 1087–1096.

27.

Rahnejat

. Computational modelling of problems in contact dynamics. Eng Anal Bound Elem 1985; 2: 192–197.

28.

Chippa

Sarangi

. On the dynamics of lubricated cylindrical roller bearings, part II: Linear and nonlinear vibration analysis. Tribol Trans 2013; 56: 1097–1108.

29.

Chen

Wang

. Nonlinear dynamic analysis and experiment verification of rotor-ball bearings-support-stator coupling system for aeroengine with rubbing coupling faults. J Eng Gas Turbines Power 2009; 132: 022501.

The resonance effect induced by the variable compliance vibration for an elastic rotor supported by roller bearings

Abstract

Keywords

Get full access to this article

References