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Research Papers: Applications

A Calculation Method to Investigate the Effects of Geometric Parameters and Operational Conditions on the Static Characteristics of Aerostatic Spherical Bearings

[+] Author and Article Information
Hailong Cui

Institute of Machinery
Manufacturing Technology,
China Academy of Engineering Physics,
Mianyang 621000, China;
School of Mechanical,
Materials, Mechatronic and Biomedical,
University of Wollongong,
Wollongong 2522, NSW, Australia
e-mail: cuihailong61@foxmail.com

Huan Xia, Dajiang Lei, Xinjiang Zhang

Institute of Machinery
Manufacturing Technology,
China Academy of Engineering Physics,
Mianyang 621000, China

Zhengyi Jiang

School of Mechanical,
Materials, Mechatronic and Biomedical,
University of Wollongong,
Wollongong 2522, NSW, Australia
e-mail: jiang@uow.edu.au

1Corresponding authors.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received April 10, 2018; final manuscript received August 28, 2018; published online October 16, 2018. Assoc. Editor: Daejong Kim.

J. Tribol 141(2), 021101 (Oct 16, 2018) (11 pages) Paper No: TRIB-18-1150; doi: 10.1115/1.4041365 History: Received April 10, 2018; Revised August 28, 2018

In this paper, a calculation method based on matlab partial differential equations (PDE) tool is proposed to investigate the static characteristics of aerostatic spherical bearings. The Reynolds equation of aerostatic spherical bearings is transformed into a standard elliptic equation. The effects of geometric parameters and operational conditions on the film pressure, bearing film force, and stiffness are studied. The axial and radial eccentricities result in different film pressure distributions; the bearing film force and stiffness are significantly influenced by geometric parameters and operational conditions. The relative optimal parameters are confirmed based on the calculation results. A comparison between the numerical and experimental results is also presented. The highest relative error between the numerical results and the experimental data is 11.3%; the calculation results show good agreements with the experimental data, thus verifying the accuracy of the calculation method used in this paper.

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Figures

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Fig. 1

Geometrical configuration of the aerostatic spherical bearings

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Fig. 2

Coordinates of the upper bearing

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Fig. 3

Section of the upper bearing

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Fig. 4

Schematic diagram of the control volume for the mass balance equation

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Fig. 5

Flowchart of the iterative procedure

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Fig. 6

Schematic diagram of the computational domain: (a) XOY section at orifice position and (b) Plane of computational domain

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Fig. 7

Mesh and boundary for the computational fluid domain

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Fig. 8

Dimensionless pressure distribution of bearing film

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Fig. 9

Pressure distribution against the circumferential angle

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Fig. 10

Pressure distribution against the spherical surface angle

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Fig. 11

Effects of supply pressure on bearing film force: (a) axial film force and (b) radial film force

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Fig. 12

Effect of radial eccentricity ratio on axial gas film force

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Fig. 13

Effect of axial eccentricity ratio on radial gas film force

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Fig. 14

Effects of supply pressure on bearing stiffness: (a) axial stiffness and (b) radial stiffness

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Fig. 15

Effects of bearing clearance on bearing film force: (a) axial film force and (b) radial film force

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Fig. 16

Effects of bearing clearance on bearing stiffness: (a) axial stiffness and (b) radial stiffness

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Fig. 17

Effect of orifice diameter on film force: (a) axial film force and (b) radial film force

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Fig. 18

Effect of orifice diameter on stiffness: (a) axial stiffness and (b) radial stiffness

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Fig. 19

Major components of aerostatic spherical bearings

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Fig. 20

Schematic diagram and experiment platform for the measurement of bearing axial film force: (a) schematic diagram and (b) experiment platform

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Fig. 21

Comparison results of the bearing axial film force

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