Skip to main content
Log in

Effect of angular misalignment on the static characteristics of rotating externally pressurized air journal bearing

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

This paper studies the effect of angular misalignment on the static characteristics of rotating externally pressurized air journal bearing with four degrees of freedom (4-DOF). A clearance function is used to describe the film thickness of air journal bearings with angular misalignment along two perpendicular directions. The finite different method (FDM) and an iterative procedure are applied to solve the Reynolds equation and obtain the air film pressure distribution. Various eccentricity ratios and rotating speeds are taken into considerations for the comparisons of static performances of the air journal bearing under different tilt angles. The results show that the air film thickness, load capacity, stiffness, load moment, attitude angle and volume flow rate are affected greatly by the angular misalignment.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Burgdorfer A. The influence of the molecular mean free path on the performance of hydrodynamic gas lubricated bearings. ASME J Basic Eng, 1959, 81: 94–10.

    Article  Google Scholar 

  2. Powell J W. Design of Aerostatic Bearings. Brighton: Machinery, 1970

    Google Scholar 

  3. Hsia Y T, Domoto G A. An experimental investigation of molecular rarefaction effects in gas lubricated bearings at ultra-low clearances. J Lub Tech, 1983, 105: 120–12.

    Article  Google Scholar 

  4. Cao H, Dörgeloh T, Riemer O, et al. Adaptive separation of unbalance vibration in air bearing spindles. Procedia CIRP, 2017, 62: 357–36.

    Article  Google Scholar 

  5. Lo C Y, Wang C C, Lee Y H. Performance analysis of high-speed spindle aerostatic bearings. Tribol Int, 2005, 38: 5–1.

    Article  Google Scholar 

  6. Chen Y S, Chiu C C, Cheng Y D. Influences of operational conditions and geometric parameters on the stiffness of aerostatic journal bearings. Precision Eng, 2010, 34: 722–73.

    Article  Google Scholar 

  7. Belforte G, Colombo F, Raparelli T, et al. Comparison between grooved and plane aerostatic thrust bearings: Static performance. Meccanica, 2011, 46: 547–55.

    Article  MATH  Google Scholar 

  8. Du J, Zhang G, Liu T, et al. Improvement on load performance of externally pressurized gas journal bearings by opening pressureequalizing grooves. Tribol Int, 2014, 73: 156–16.

    Article  Google Scholar 

  9. Wang X, Xu Q, Wang B, et al. Effect of surface waviness on the static performance of aerostatic journal bearings. Tribol Int, 2016, 103: 394.405

    Article  Google Scholar 

  10. Su J C T, Lie K N. Rotation effects on hybrid air journal bearings. Tribol Int, 2003, 36: 717–72.

    Article  Google Scholar 

  11. Liu Z S, Zhang G H, Xu H J. Performance analysis of rotating externally pressurized air bearings. Proc Inst Mech Eng Part J-J Eng Tribol, 2009, 223: 653–66.

    Article  Google Scholar 

  12. Gao S, Cheng K, Chen S, et al. Computational design and analysis of aerostatic journal bearings with application to ultra-high speed spindles. Proc Inst Mech Eng Part C-J Mech Eng Sci, 2017, 231: 1205. 1220

    Article  Google Scholar 

  13. Wang X, Xu Q, Wang B, et al. Numerical calculation of rotation effects on hybrid air journal bearings. Tribol Trans, 2017, 60: 195–20.

    Article  Google Scholar 

  14. Chen D, Huo C, Cui X, et al. Investigation the gas film in micro scale induced error on the performance of the aerostatic spindle in ultraprecision machining. Mech Syst Signal Process, 2018, 105: 488–50.

    Article  Google Scholar 

  15. Chen D, Zhou S, Han J, et al. Characteristics evaluation of gas film in the aerostatic thrust bearing within rarefied effect. Proc Inst Mech Eng Part J-J Eng Tribol, 2017, 231: 149–15.

    Article  Google Scholar 

  16. Su J C T, Lie K N. Rotor dynamic instability analysis on hybrid air journal bearings. Tribol Int, 2006, 39: 238–24.

    Article  Google Scholar 

  17. Wang C C. Application of a hybrid method to the nonlinear dynamic analysis of a flexible rotor supported by a spherical gas-lubricated bearing system. Nonlinear Anal-Theor Methods Appl, 2009, 70: 2035–205.

    Article  MathSciNet  MATH  Google Scholar 

  18. Yang D W, Chen C H, Kang Y, et al. Influence of orifices on stability of rotor-aerostatic bearing system. Tribol Int, 2009, 42: 1206–121.

    Article  Google Scholar 

  19. Chen C H, Tsai T H, Yang D W, et al. The comparison in stability of rotor-aerostatic bearing system compensated by orifices and inherences. Tribol Int, 2010, 43: 1360–137.

    Article  Google Scholar 

  20. Otsu Y, Somaya K, Yoshimoto S. High-speed stability of a rigid rotor supported by aerostatic journal bearings with compound restrictors. Tribol Int, 2011, 44: 9–1.

    Article  Google Scholar 

  21. Fisher A. Oil Flow in Ring Lubricated Bearings. London: Machinery Publishing, 1922

    Google Scholar 

  22. McKee S A, McKee T R. Pressure distribution in oil films of journal bearings. Trans ASME, 1932, 5: 149–16.

    Google Scholar 

  23. Dubois G B, Mabie H H, Ocvirk F W. Experimental investigation of oil film pressure distribution for misaligned plain bearings. J Exp Zool, 1951, 191: 9–2.

    Google Scholar 

  24. Dubois G B, Ocvirk F W, Wehe R L. Properties of misaligned journal bearings. ASME J Basic Eng, 1957, 79: 1205–121.

    Google Scholar 

  25. Singh D V, Sinhasan R, Singh H N. Analysis of hydrodynamic journal bearing with axes skew. J Mech Eng Sci, 1973, 15: 123–13.

    Article  Google Scholar 

  26. Bou-Saïd B, Nicolas D. Effects of misalignment on static and dynamic characteristics of hybrid bearings. Tribol Trans, 1992, 35: 325–33.

    Article  Google Scholar 

  27. San Andres L A. Analysis of hydrostatic journal bearings with end seals. J Tribol, 1992, 114: 802–81.

    Article  Google Scholar 

  28. San Andres L. The effect of journal misalignment on the operation of a turbulent flow hydrostatic bearing. J Tribol, 1993, 115: 355–36.

    Article  Google Scholar 

  29. Arumugam P, Swarnamani S, Prabhu B S. An experimental investigation on the static and dynamic characteristics of journal bearings under the influence of twisting misalignment. J Tribol, 1997, 119: 188–19.

    Article  Google Scholar 

  30. Sharma S C, Phalle V M, Jain S C. Combined influence of wear and misalignment of journal on the performance analysis of three-lobe three-pocket hybrid journal bearing compensated with capillary restrictor. J Tribol, 2012, 134: 01170.

    Article  Google Scholar 

  31. Jiang S, Lin S, Xu C. Static and dynamic characteristics of externally pressurized porous gas journal bearing with four degrees-of-freedom. J Tribol, 2018, 140: 01170.

    Article  Google Scholar 

  32. Jiang S, Yang S, Yin Z, et al. Static and dynamic characteristics of externally pressurized annular porous gas thrust bearings. Proc Inst Mech Eng Part J-J Eng Tribol, 2016, 230: 1221–123.

    Article  Google Scholar 

  33. Rajput A K, Sharma S C. Combined influence of geometric imperfections and misalignment of journal on the performance of four pocket hybrid journal bearing. Tribol Int, 2016, 97: 59–7.

    Article  Google Scholar 

  34. Xu C, Jiang S. Dynamic analysis of a motorized spindle with externally pressurized air bearings. J Vib Acoust, 2015, 137: 04100.

    Article  Google Scholar 

  35. Dal A, Karaçay T. Effects of angular misalignment on the performance of rotor-bearing systems supported by externally pressurized air bearing. Tribol Int, 2017, 111: 276–28.

    Article  Google Scholar 

  36. Liu D, Liu Y H, Chen S J. Aerostatic Lubrication (in Chinese). Harbin: Harbin Institute of Technology Press, 1990

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to HongRui Cao.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11772244 & 51421004), the Natural Science Foundation of Shaanxi Province (Grant No. 2017JM5120), and the Fundamental Research Funds for the Central University.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shi, J., Cao, H. & Chen, X. Effect of angular misalignment on the static characteristics of rotating externally pressurized air journal bearing. Sci. China Technol. Sci. 62, 1520–1533 (2019). https://doi.org/10.1007/s11431-018-9429-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-018-9429-4

Keywords

Navigation