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Research Papers: Hydrodynamic Lubrication

Dynamic Characteristics of Spiral-Grooved Opposed-Hemisphere Gas Bearings

[+] Author and Article Information
Guangwei Yang

Shenzhen Graduate School,
Harbin Institute of Technology,
Shenzhen 518055, Guangdong, China
e-mail: garyhitsz1987@163.com

Jianjun Du

Shenzhen Graduate School,
Harbin Institute of Technology,
Shenzhen 518055, Guangdong, China
e-mail: jjdu@hit.edu.cn

Weiping Ge

Aerospace System Engineering Shanghai,
Shanghai 201108, China
e-mail: 465636010@qq.com

Tun Liu

School of Astronautics,
Harbin Institute of Technology,
Harbin 150001, Heilongjiang, China
e-mail: liudun@hit.edu.cn

Xiaowei Yang

Shenzhen Graduate School,
Harbin Institute of Technology,
Shenzhen 518055, Guangdong, China
e-mail: yxw112358@163.com

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received February 13, 2016; final manuscript received August 1, 2016; published online November 30, 2016. Assoc. Editor: Bugra Ertas.

J. Tribol 139(3), 031704 (Nov 30, 2016) (11 pages) Paper No: TRIB-16-1054; doi: 10.1115/1.4034423 History: Received February 13, 2016; Revised August 01, 2016

The traditional eight-coefficient bearing model only considers the translational motion of the bearings and neglects the tilting motion and coupling effects between them. In this paper, the dynamic characteristics of the spiral-grooved opposed-hemisphere gas bearing considering five degrees-of-freedom are studied, and 50 dynamic coefficients including the translational, tilting, and coupling components are completely calculated. The Reynolds equations and their perturbed equations are solved by the finite element method to obtain the dynamic stiffness and damping coefficients. The effects of the tilting motion on the dynamic coefficients and response are analyzed, respectively. The results show that the coupling coefficients between the translational and tilting motions, which have been neglected in most previous studies, are significant at large eccentricity ratio. But these coupling coefficients have little effect on the dynamic response. On the other hand, the influences of the tilting motion on the synchronous response and natural frequency are remarkable and will decrease the stability of the rotor bearing system.

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Figures

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Fig. 1

The configuration of the spiral-grooved opposed-hemisphere gas bearing

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Fig. 2

Translational displacements and tilting angles

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Fig. 3

Comparison results for axial load capacity versus axial displacements

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Fig. 4

Effect of radial eccentricity ratio on the dynamic coefficients at n  = 30,000 rpm and ν  = 1: (a) pure translational components, (b) pure tilting components, (c) coupling translational components, and (d) coupling tilting components

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Fig. 5

Effect of axial eccentricity ratio on the dynamic coefficients at n  = 30,000 rpm and ν  = 1: (a) pure translational components, (b) pure tilting components, (c) coupling translational components, and (d) coupling tilting components

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Fig. 6

Effect of tilting eccentricity ratio on the dynamic coefficients at n  = 30,000 rpm and ν  = 1: (a) pure translational components, (b) pure tilting components, and (c) coupling tilting components

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Fig. 9

Effects of tilting motion on the backward mode (ε=0): (a) damping exponents and (b) Campbell diagram

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Fig. 8

Effects of tilting motion on the forward mode (ε=0): (a) damping exponents and (b) Campbell diagram

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Fig. 7

Effect of tilting motion on the synchronous response at n  = 30,000 rpm for different direction eccentricity ratios: (a) radial eccentricity ratio, εx  = 0.5, (b) axial eccentricity ratio, εz  = 0.5, and (c) titling eccentricity ratio, εϑx  = 0.5

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