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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.5 P.685-690


New numerical solution for self-acting gas journal bearings

Author(s):  Hai-jun ZHANG, Chang-sheng ZHU, Qin YANG

Affiliation(s):  College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   zhjzszs_537@hotmail.com, cszhu@hotmail.com

Key Words:  Self-acting gas journal bearings, Reynolds equation, Nonlinearity, Finite difference method (FDM)

Hai-jun ZHANG, Chang-sheng ZHU, Qin YANG. New numerical solution for self-acting gas journal bearings[J]. Journal of Zhejiang University Science A, 2009, 10(5): 685-690.

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%I Zhejiang University Press & Springer
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A1 - Hai-jun ZHANG
A1 - Chang-sheng ZHU
A1 - Qin YANG
J0 - Journal of Zhejiang University Science A
VL - 10
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820532

Taking a small pressure change in the gas film of self-acting gas-lubricated journal bearings into account, the corresponding nonlinear reynolds equation is linearized through appropriate approximation and a modified reynolds equation is derived and solved by means of the finite difference method (FDM). The gas film pressure distribution of a self-acting gas-lubricated journal bearing is attained and the load capacity is calculated. The numerical solution has a better agreement with experimental data than a direct numerical solution for different values of the bearing number. It is of interest to note that the eccentricity ratio, at which the new numerical solution is in better agreement with experimental data, is different when the bearing number is changing. The new numerical solution is slightly larger when the eccentricity ratio is smaller, and becomes slightly smaller when the eccentricity ratio is larger.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Ausman, J.S., 1961. An improved analytical solution for self-acting, gas-lubricated journal bearings of finite length. Journal of Basic Engineering, 83:188-194.

[2] Bert, C.W., Malik, M., 1997. Transient analysis of gas-lubricated journal bearing systems by differential quadrature. Journal of Tribology, 119(1):91-99.

[3] Castelli, V., Pirvics, J., 1968. Review of numerical methods in gas bearing film analysis. Journal of Lubrication Technology, 90(4):777-792.

[4] Cheng, H.S., Pan, C.H.T., 1965. Stability analysis of gas lubricated, self-acting, plain, cylindrical journal bearings of finite length, using Galerkin’s method. Journal of Basic Engineering, 87(1):185-192.

[5] Cioc, S., Dimofte, F., Keith, T.G., Fleming, D.P., 2003. Computation of pressurized gas bearings using the CE/SE method. Tribology Transactions, 46(1):128-133.

[6] Cioc, S., Keith, T.G., Dimofte, F., Fleming, D.P., 2004. Calculation of the flow in high-speed gas bearings including inertia effects using the CE/SE method. Tribology Transactions, 47(3):402-412.

[7] Ehrich, F.F., Jacobson, S.A., 2003. Development of high-speed gas bearings for high-power density microdevices. Journal of Engineering for Gas Turbines and Power, 125(1):141-149.

[8] Elrod, H.G., Burgdorfer, A., 1959. Refinement of the Theory of Gas-lubricated Journal Bearings of Infinite Length. Proceedings of the First International Symposium on Gas Lubricated bearings, Washington, D.C.

[9] Epstein, A.H., Senturia, S.D., 1997. Microengineering: macro power from micro machinery. Science, 276(5316):1211.

[10] Epstein, A.H., Senturia, S.D., Al-Midani, O., 1997. Micro-heat engine, gas turbines and rocket engines—the MIT microengine project. AIAA Paper, Snowmass Village, Co., Paper 97-1773.

[11] Gad-el-Hak, M., 1999. The fluid mechanics of microdevices —the freeman scholar lecture. Journal of Fluids Engineering, 121(1):5-33.

[12] Gross, W.A., 1980. Fluid Film Lubrication. John Wiley & Sons, New York, U.S.

[13] Harrison, W.J., 1913. The hydrodynamical theory of lubrication with special reference to air as a lubricant. Transactions of Cambridge Philosophical Society, 22:34-54.

[14] Katto, Y., Soda, N., 1952. Theory of Lubrication by Compressible Fluid with Special Reference to Air Bearing. Proceedings of the Second Japan National Congress for Applied Mechanics, p.267-270.

[15] Malik, M., Bert, C.W., 1994. Differential quadrature solutions for steady-state incompressible and compressible lubrication problems. Journal of Tribology, 116(2):296-302.

[16] Malik, M., Rahmatabadi, A.D., Jain, S.C., 1989. An assessment of the stability chart of linearized gas-lubricated plane journal bearing system. Tribology Transaction, 32(1):54-60.

[17] Piekos, E.S., 2000. Numerical Simulation of Gas-lubricated Journal Bearings for Microfabricated Machines. PhD Thesis, Massachusetts Institute of Technology, Cambridge, U.S.

[18] Piekos, E.S., Breuer, K.S., 1999. Pseudospectral orbit simulation of non-ideal gas-lubricated journal bearings for microfabricated turbomachines. Journal of Tribology, 121(3):604-609.

[19] Qi, S.M., Geng, H.P., Yu, L., 2006. New method for the calculation of the characteristics of aerodynamic bearings. Journal of Mechanical Strength, 28(3):369-373 (in Chinese).

[20] Raimondi, A.A., 1961. A numerical solution for the gas lubricated full journal bearing of finite length. ASLE Transactions, 4:131-155.

[21] Wang, J., Zhang, L., Xu, Z.J., 2005. Analysis of load capacity for aerodynamic bearings in power MEMS. Journal of Chongqing University (Natural Science Edition), 28(2):5-7 (in Chinese).

[22] Whitley, S., Betts, C., 1959. Study of gas-lubricated, hydrodynamic, full journal bearing. British Journal of Applied Physics, 10(10):455-463.

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