Skip to main content

Approximate Numerical Solution of Hydrodynamic Gas Journal Bearings

  • Conference paper
Intelligent Robotics and Applications (ICIRA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5315))

Included in the following conference series:

Abstract

Considering small pressure change in the gas film of hydrodynamic gas-lubricated journal bearings, the corresponding nonlinear Reynolds equation is linearized through appropriate approximation and approximate Reynolds equation is derived and solved by means of finite difference method (FDM). The gas film pressure distribution of hydrodynamic gas-lubricated journal bearing is attained and load capacity is calculated. The approximate numerical solution shows better agreement with experimental data than direct numerical solution and demands less computer time. It is of interest to note the eccentricity ratio ε at which approximate numerical solution is better agreement with experimental data is different when bearing number is changing. The approximate numerical solution is slightly larger when the eccentricity ratio is smaller, and becomes slightly smaller when the eccentricity ratio is larger.

This work is supported by National Science Foundation of China (10472101).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Gross, W.A., et al.: Fluid Film Lubrication. John Wiley & Sons, New York (1980)

    Google Scholar 

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

    Article  Google Scholar 

  3. Gad-el-Hak, M.: The Fluid Mechanics of Microdevices—The Freeman Scholar Lecture. Journal of Fluid Engineering 121(1), 5–33 (1999)

    Article  Google Scholar 

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

    Google Scholar 

  5. Harrison, W.J.: The dydrodynamical theory of lubrication with special reference to air as a lubricant. Trans. Cambridge Philosophical Society 22, 34–54 (1913)

    Google Scholar 

  6. Katto, Y., Soda, N.: Theory of lubrication by compressible fluid with special reference to air bearing. In: 2nd Japan National Congress for Applied Mechanics Tokyo, pp. 267–270 (1952)

    Google Scholar 

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

    Google Scholar 

  8. Elrod, H.G., Burgdorfer, A.: Refinement of the theory of gas-lubricated journal bearings of infinite length. In: 1st International Symposium on Gas Lubricated bearings, Washington, D.C (1959)

    Google Scholar 

  9. Raimondi, A.A.: A numerical solution for the gas lubricated full journal bearing of finite length. Trans. ASLE 4, 131–155 (1961)

    MathSciNet  Google Scholar 

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

    Google Scholar 

  11. Whitley, S., Betts, C.: Study of Gas-Lubricated, Hydrodynamic, Full Journal Bearing. British Journal of Applied Physics 10, 455–463 (1959)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, H., Zhu, C., Yang, Q. (2008). Approximate Numerical Solution of Hydrodynamic Gas Journal Bearings. In: Xiong, C., Liu, H., Huang, Y., Xiong, Y. (eds) Intelligent Robotics and Applications. ICIRA 2008. Lecture Notes in Computer Science(), vol 5315. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88518-4_29

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-88518-4_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88516-0

  • Online ISBN: 978-3-540-88518-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics