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Research Papers: Hydrodynamic Lubrication

Dynamic Stability Prediction of Spherical Spiral Groove Hybrid Gas Bearings Rotor System

[+] Author and Article Information
Chenhui Jia

School of Mechatronics Engineering,
Henan University of Science and Technology,
48 Xiyuan Road, Box 62,
Luoyang, Henan 471003, China
e-mail: xjiachenhui@163.com

Huanjie Pang

School of Mechatronics Engineering,
Henan University of Science and Technology,
48 Xiyuan Road,
Luoyang, Henan 471003, China
e-mail: panghuanjie88@163.com

Wensuo Ma, Ming Qiu

School of Mechatronics Engineering,
Henan University of Science and Technology,
48 Xiyuan Road,
Luoyang, Henan 471003, China

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received September 30, 2015; final manuscript received April 8, 2016; published online August 11, 2016. Assoc. Editor: Bugra Ertas.

J. Tribol 139(2), 021701 (Aug 11, 2016) Paper No: TRIB-15-1354; doi: 10.1115/1.4033453 History: Received September 30, 2015; Revised April 08, 2016

Taking the hemisphere spiral groove hybrid gas bearings (HSGHGB) as the research object, the nonlinear dynamic lubrication analysis mathematical model of spherical hybrid gas bearings is established with the axis instantaneous position and instantaneous displacement speed as the parameters. The perturbation pressure control equation is solved by means of the finite difference method in generalized coordinate system. The calculation program is prepared based on VC++6.0, and the transient perturbation pressure distribution of three-dimensional (3D) gas film, nonlinear gas film force, and dynamic stiffness and damping coefficients are numerically calculated. The influences of different speeds, eccentricity ratios, and gas supply pressures on the dynamic characteristic coefficients of gas film are studied. The results show that the influence of bearing's supply pressure, speed, and eccentricity on the dynamic characteristics of gas film is significant. The dynamic equations of rotor-bearing system containing the gas film dynamic stiffness and the damping coefficients are established, and the stability of the gas film is predicted based on the Routh–Hurwitz stability criterion. The research provides the theoretical foundation for actively controlling the bearing running stiffness and damping and stemming the instability of gas film.

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References

Figures

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Fig. 1

Schematic diagram of spherical spiral groove hybrid gas bearings

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Fig. 2

Oblique coordinate conversion

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Fig. 4

Grid of continuous region

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Fig. 6

The 3D distribution of static gas film thickness

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Fig. 7

The 3D distribution of static gas film pressure

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Fig. 8

Flowchart of numerical calculation

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Fig. 9

Variation law of the dynamic characteristic coefficients with speed and eccentricity ratio: (a) Kee,Kθe,Kze, (b) Keθ,Kθθ,Kzθ, (c) Kez,Kθz,Kzz, (d) Bee,Bθe,Bze, (e) Beθ,Bθθ,Bzθ, and (f)Bez,Bθz,Bzz

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Fig. 10

Variation law of the dynamic characteristic coefficients with supply pressure and eccentricity ratio: (a) Kee,Kθe,Kze, (b) Keθ,Kθθ,Kzθ, (c) Kez,Kθz,Kzz, (d) Bee,Bθe,Bze, (e) Beθ,Bθθ,Bzθ, and (f) Bez,Bθz,Bzz

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Fig. 11

Schematic diagram of experimental measurement system

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Fig. 12

Model graph of test device

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Fig. 15

Variation law of the dynamic characteristic coefficients with speed and eccentricity ratio: (a) Kee Kθe, (b) Kθθ Keθ, (c) Bee Bθe, and (d) Beθ Bθθ

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Fig. 16

Variation law of the dynamic damping coefficients with speed increasing to instability speed: (a) Bee,Bθe,Bze, (b) Beθ,Bθθ,Bzθ, and (c) Bez,Bθz,Bzz

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