[1] Zheng Shufei, Jiang Shuyun,. Improved finite difference methodfor pressure distribution of aerostatic bearing [J]. Journal of Southeast University (English Edition), 2009, 25 (4): 501-505. [doi:10.3969/j.issn.1003-7985.2009.04.018]

Copy

Improved finite difference methodfor pressure distribution of aerostatic bearing()

Share：

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

25

Issue:

2009 4

Page:

501-505

Research Field:

Mechanical Engineering

Publishing date:

2009-12-30

Info

Title:

Improved finite difference methodfor pressure distribution of aerostatic bearing

Author(s):

Zheng Shufei;  Jiang Shuyun

School of Mechanical Engineering, Southeast University, Nanjing 211189, China

Keywords:

aerostatic bearing;  pressure distribution;  Reynolds equation;  finite difference method;  variable step size

PACS:

TH133.35

DOI:

10.3969/j.issn.1003-7985.2009.04.018

Abstract:

An improved finite difference method(FDM)is described to solve existing problems such as low efficiency and poor convergence performance in the traditional method adopted to derive the pressure distribution of aerostatic bearings. A detailed theoretical analysis of the pressure distribution of the orifice-compensated aerostatic journal bearing is presented. The nonlinear dimensionless Reynolds equation of the aerostatic journal bearing is solved by the finite difference method. Based on the principle of flow equilibrium, a new iterative algorithm named the variable step size successive approximation method is presented to adjust the pressure at the orifice in the iterative process and enhance the efficiency and convergence performance of the algorithm. A general program is developed to analyze the pressure distribution of the aerostatic journal bearing by Matlab tool. The results show that the improved finite difference method is highly effective, reliable, stable, and convergent. Even when very thin gas film thicknesses(less than 2 μm)are considered, the improved calculation method still yields a result and converges fast.

References:

[1] Khatait J P, Lin W, Lin W J. Design and development of orifice-type aerostatic thrust bearing [J]. SIMTech Technical Reports, 2005, 6(1): 7-12.
[2] Liu D, Liu Y H, Chen S J. Aerostatic gas lubrication[M]. Harbin: Harbin Institute of Technology Press, 1990.(in Chinese)
[3] Li S S, Liu D. Analysis of the dynamics of precision centrifuge spindle system with the externally pressurized gas bearing [J]. Chinese Journal of Mechanical Engineering, 2005, 41(2): 28-32.(in Chinese)
[4] Awasthi R K, Jain S C, Sharma S C. Finite element analysis of orifice-compensated multiple hole-entry worn hybrid journal bearing [J]. Finite Elements in Analysis and Design, 2006, 42(14): 1291-1303.
[5] Wang X, Yamaguchi A. Characteristics of hydrostatic bearing/seal parts for water hydraulic pumps and motors. Part 1: experiment and theory [J]. Tribology International, 2002, 35(7): 425-433.
[6] Abdel-Rahman G M. Studying fluid squeeze characteristics for aerostatic journal bearing [J]. Physica B, 2008, 403(13/14/15/16): 2390-2393.
[7] Zhang J W. Numerical analysis and application research of gas-lubricated bearings [D]. Xi’an: School of Mechanical Engineering of Xi’an Institute of Technology, 2002.(in Chinese)
[8] Lo C Y, Wang C C, Lee Y H. Performance analysis of high-speed spindle aerostatic bearings [J]. Tribology International, 2005, 38(1): 5-14.

Memo

Memo:

Biographies: Zheng Shufei(1985—), male, graduate; Jiang Shuyun(corresponding author), male, doctor, professor, jiangshy@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.50475073, 50775036), the High Technology Research Program of Jiangsu Province(No.BG2006035).
Citation: Zheng Shufei, Jiang Shuyun. Improved finite difference method for pressure distribution of aerostatic bearing[J]. Journal of Southeast University(English Edition), 2009, 25(4): 501-505.

Common functions