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Research Papers: Applications

The Varying Compliance Resonance in a Ball Bearing Rotor System Affected by Different Ball Numbers and Rotor Eccentricities

[+] Author and Article Information
Rui Yang, Yulin Jin, Yushu Chen

School of Astronautics,
Harbin Institute of Technology,
Harbin 150001, China

Lei Hou

School of Astronautics;
School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 150001, China

Zhiyong Zhang

School of Science,
Nanjing University of Science and Technology,
Nanjing 210094, China

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received July 22, 2017; final manuscript received December 26, 2017; published online April 30, 2018. Assoc. Editor: Xiaolan Ai.

J. Tribol 140(5), 051101 (Apr 30, 2018) (10 pages) Paper No: TRIB-17-1288; doi: 10.1115/1.4039566 History: Received July 22, 2017; Revised December 26, 2017

The varying compliance (VC) vibration directly reflects the oscillation intensity of a rolling bearing, and it can be fully revealed in the VC resonance. Moreover, we define the bearing vibration intensity as the bearing vibration information in this paper. Besides the rolling element number of the bearing, the rotor eccentricity is also an inevitable influencing factor for the VC vibration. This paper focuses on the VC resonance characteristics in a ball bearing rotor system. An analytical model is established, and the vibration responses of the system are calculated in a large speed range with the consideration of different ball numbers and different rotor eccentricities. The theoretical results show that the VC vibration is clearer in low-speed range where the VC resonance exist, while it is suppressed in high-speed range. In general, the intensity of the VC resonance decreases with the increase of ball numbers and is not sensible to the rotor eccentricities in low-speed range. Finally, a ball bearing rotor experiment system is setup, the VC resonance is clearly detected, and the high-quality bearing vibration information is obtained. The experimental results qualitatively agree with the theoretical results.

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Figures

Grahic Jump Location
Fig. 1

The simplified rigid rotor bearing system schematic: (a) simplified ball bearing-pedestal model and (b) symmetrical bearing rotor system

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Fig. 2

The time domain response and fast Fourier transform (FFT) maps at 2866 rpm (300 rad/s) with/without slippage (Nb = 8). ((a) and (b)) for horizontal response; ((c) and (d)) for vertical response.

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Fig. 3

The time domain response and FFT maps at 5733 rpm (600 rad/s) with/without slippage (Nb = 8). ((a) and (b)) for horizontal response; ((c) and (d)) for vertical response.

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Fig. 4

The time domain response and FFT maps at 8599 rpm (900 rad/s) with/without slippage (Nb = 8). ((a) and (b)) for horizontal response; ((c) and (d)) for vertical response.

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Fig. 8

The FFT maps in VC resonance zones for different ball numbers in the vertical direction, e = 1 × 10−5. (a) Nb = 8, (b) Nb = 10, and (c) Nb = 15. X stands for eccentric excitation frequency of the rotor.

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Fig. 15

The zoomed view of the loading device

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Fig. 9

The VC and combined resonances under Nb = 8, e = 1 × 10−5. (a) For horizontal and (b) for vertical. X stands for eccentric excitation frequency.

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Fig. 10

The VC and combined resonances under Nb = 8, e = 1 × 10−6. (a) For horizontal and (b) for vertical. X stands for eccentric excitation frequency.

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Fig. 11

Experiment system

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Fig. 12

Experimental frequency spectra: (a) for horizontal and (b) for vertical. X stands for the eccentric excitation frequency of the rotor.

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Fig. 14

The experimental VC resonance curves for horizontal and vertical directions, H is for horizontal and V is for vertical

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Fig. 13

The experimental FFT maps in the VC resonance zones of the rotor: (a) for horizontal and (b) for vertical. X stands for the eccentric excitation frequency of the rotor.

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Fig. 5

P–P resonance curves for different balls numbers, e = 1 × 10−5 m. ((a), (b), and (c)) for horizontal response under Nb = 8, Nb = 10, and Nb = 15, respectively; ((d), (e), and (f)) for vertical response under Nb = 8, Nb = 10, and Nb = 15, respectively.

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Fig. 6

P–P resonance curves for different balls numbers, e = 1 × 10−6 m. ((a), (b), and (c)) for horizontal response under Nb = 8, Nb = 10, and Nb = 15, respectively; ((d), (e), and (f)) for vertical response under Nb = 8, Nb = 10, and Nb = 15, respectively.

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Fig. 7

The FFT maps in the VC resonance zones for different ball numbers in the horizontal direction, e = 1 × 10−5. (a) Nb = 8, (b) Nb = 10, and (c) Nb = 15. X stands for eccentric excitation frequency of the rotor.

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