Free Fluid-Structure Interaction Method for Accurate Nonlinear Dynamic Characteristics of the Plain Gas Journal Bearings

  • Bin Wang
  • Yongtao SunEmail author
  • Qian DingEmail author
Original Paper



Comprehensive and deep understanding of the accurate nonlinear dynamic characteristics of the gas journal bearings plays an important role for reliable design of the rotor-bearing system.


In this paper, the accurate nonlinear dynamics of a flexible rotor supported by two plain gas journal bearings (PGJB) are investigated by the free fluid-structure interaction method (FFSIM). The FFSIM does not make any simplifying assumptions, considers the interactions between the rotor shaft and the bearing sleeve at each transient time and uses the three-dimensional models for calculation. First, accuracy of the FFSIM is verified by the published experimental results. Then, bifurcation analysis, effects of rotating speed and rotor mass on shaft orbits, phase portraits and frequency response curves of the PGJB rotor system are performed, respectively.

Results and Conclusions

Results show that, under the same rotor system and boundary conditions, compared with the simplified two-dimensional analytical methods commonly seen in the open literature, the FFSIM could give more detailed and accurate nonlinear dynamic characteristics of the rotor-bearing system. The research of this paper is expected to further and deeply understand the accurate nonlinear dynamic characteristics of the PGJB rotor system.


Plain gas journal bearings Nonlinear dynamic characteristics Free fluid-structure interaction method Bifurcation analysis 



The research is supported by the National Natural Science of China under Grant no. 51575378 and 11502162, and the Natural Science Foundation of Tianjin under Grant no. 13JCZDJC34900 and 15JCQNJC05100. YS is also supported by the Seed Foundation of Tianjin University (No. 1405), the fund (No. SV2015-KF-02) from State Key Laboratory for Strength and Vibration of Mechanical Structures (Xi’an Jiaotong University), the fund (No. GZ1408) from State Key Laboratory of Structural Analysis for Industrial Equipment (Dalian University of Technology), the fund (No. MSV201611) from State Key Laboratory of Mechanical System and Vibration (Shanghai Jiaotong University).


  1. 1.
    Tandon N, Choudhury A (1999) A review of vibration and acoustic measurement methods for the detection of defects in rolling element bearings. Tribol Int 32(8):469–480CrossRefGoogle Scholar
  2. 2.
    Samanta B, Al-Balushi KR (2003) Artificial neural network based fault diagnostics of rolling element bearings using time-domain features. Mech Syst Signal Process 17(2):317–328CrossRefGoogle Scholar
  3. 3.
    Qiu H, Lee J, Lin J, Yu G (2006) Wavelet filter-based weak signature detection method and its application on rolling element bearing prognostics. J Sound Vib 289(4–5):1066–1090CrossRefGoogle Scholar
  4. 4.
    Yan X, Jia M (2019) Application of CSA-VMD and optimal scale morphological slice bispectrum in enhancing outer race fault detection of rolling element bearings. Mech Syst Signal Process 122:56–86CrossRefGoogle Scholar
  5. 5.
    Popescu TD, Aiordachioaie D (2019) Fault detection of rolling element bearings using optimal segmentation of vibrating signals. Mech Syst Signal Process 116:370–391CrossRefGoogle Scholar
  6. 6.
    Xiao L, Zhang X, Lu S, Xia T, Xi L (2019) A novel weak-fault detection technique for rolling element bearing based on vibrational resonance. J Sound Vib 438:490–505CrossRefGoogle Scholar
  7. 7.
    Sharma RB, Parey A (2019) Modelling of acoustic emission generated in rolling element bearing. Appl Acoust 144:96–112CrossRefGoogle Scholar
  8. 8.
    Theodossiades S, Natsiavas S (2001) On geared rotordynamic systems with oil journal bearings. J Sound Vib 243(4):721–745CrossRefGoogle Scholar
  9. 9.
    Li J, Liu Y, Lian LX, Yang XJ (2012) Mechanical properties and oil content of CNT reinforced porous CuSn oil bearings. Compos B Eng 43:1681–1686CrossRefGoogle Scholar
  10. 10.
    Chatterton S, Pennacchi P, Vania A, De Luca A, Dang PV (2019) Tribo-design of lubricants for power loss reduction in the oil-film bearings of a process industry machine: modelling and experimental tests. Tribol Int 130:133–145CrossRefGoogle Scholar
  11. 11.
    da Silva HAP, Nicoletti R (2019) Design of tilting-pad journal bearings considering bearing clearance uncertainty and reliability analysis. J Tribol 141(1):011703CrossRefGoogle Scholar
  12. 12.
    Summer F, Grün F, Offenbecher M, Taylor S (2019) Challenges of friction reduction of engine plain bearings-tackling the problem with novel bearing materials. Tribol Int 131:238–250CrossRefGoogle Scholar
  13. 13.
    Alves DS, Wu MF, Cavalca KL (2019) Application of gain-scheduled vibration control to nonlinear journal-bearing supported rotor. J Sound Vib 442:714–737CrossRefGoogle Scholar
  14. 14.
    Wang CC (2001) Bifurcation analysis of self-acting gas journal bearings. J Tribol 123:755–767CrossRefGoogle Scholar
  15. 15.
    Zhang WM, Meng G, Huang H, Zhou JB, Chen JY, Chen D (2008) Characteristics analysis and dynamic responses of micro-gas-lubricated journal bearings with a new slip model. J Phys D Appl Phys 41(15):155305CrossRefGoogle Scholar
  16. 16.
    Piekos E S (2000) Numerical simulation of gas-lubricated journal bearings for microfabricated machines. PhD thesis, Department of Aeronautics and Astronautics, MITGoogle Scholar
  17. 17.
    Gad AM, Nemat-Alla MM, Khalil AA, Nasr AM (2006) On the optimum groove geometry for herringbone grooved journal bearings. J Tribol 128(3):585–593CrossRefGoogle Scholar
  18. 18.
    Schiffmann J, Favrat D (2010) The effect of real gas on the properties of herringbone grooved journal bearings. Tribol Int 43(9):1602–1614CrossRefGoogle Scholar
  19. 19.
    Wang B, Sun YT, Ding Q (2016) Dynamic characteristics of the herringbone groove gas journal bearings: numerical simulations. Shock Vib 2016:1–13Google Scholar
  20. 20.
    Guenat E, Schiffmann J (2018) Effects of humid air on aerodynamic journal bearings. Tribol Int 127:333–340CrossRefGoogle Scholar
  21. 21.
    Dmochowski W (2007) Dynamic properties of tilting-pad journal bearings: experimental and theoretical investigation of frequency effects due to pivot flexibility. J Eng Gas Turbines Power 129(3):865–869CrossRefGoogle Scholar
  22. 22.
    Feng K, Liu W, Zhao X, Li W (2017) Nonlinear numerical prediction of a rotor-bearing system using damped flexure pivot tilting pad gas bearings. Tribol Trans 60(3):448–459CrossRefGoogle Scholar
  23. 23.
    Feng K, Liu W, Zhang Z, Zhang T (2016) Theoretical model of flexure pivot tilting pad gas bearings with metal mesh dampers in parallel. Trib Int 94:26–38CrossRefGoogle Scholar
  24. 24.
    Zhao Z, Ji F, Guan Y, Yuan X (2018) Vibration and critical characteristics of the tilting pads journal bearing-rotor system. Ind Lubric Tribol 71(2):295–300CrossRefGoogle Scholar
  25. 25.
    Larsen JS, Hansen AJ, Santos IF (2015) Experimental and theoretical analysis of a rigid rotor supported by air foil bearings. Mech Ind 16(1):106CrossRefGoogle Scholar
  26. 26.
    Li Y, Lei G, Sun Y, Wang L (2017) Effect of environmental pressure enhanced by a booster on the load capacity of the aerodynamic gas bearing of a turbo expander. Tribol Int 105:77–84CrossRefGoogle Scholar
  27. 27.
    Lai T, Guo Y, Zhao Q, Wang Y, Zhang X, Hou Y (2018) Numerical and experimental studies on stability of cryogenic turbo-expander with protuberant foil gas bearings. Cryogenics 96:62–74CrossRefGoogle Scholar
  28. 28.
    Wilkes JC, Wade J, Rimpel A, Moore J, Swanson E, Grieco J, Brady J (2018) Impact of bearing clearance on measured stiffness and damping coefficients and thermal performance of a high-stiffness generation 3 foil journal bearing. J Eng Gas Turbines Power 140(7):072503CrossRefGoogle Scholar
  29. 29.
    Hoffmann R, Liebich R (2018) Characterisation and calculation of nonlinear vibrations in gas foil bearing systems—an experimental and numerical investigation. J Sound Vib 412:389–409CrossRefGoogle Scholar
  30. 30.
    Guo Z, Feng K, Liu T, Lyu P, Zhang T (2018) Nonlinear dynamic analysis of rigid rotor supported by gas foil bearings: effects of gas film and foil structure on subsynchronous vibrations. Mech Syst Signal Process 107:549–566CrossRefGoogle Scholar
  31. 31.
    Feng K, Zhang M, Li WJ, Jin P, Wang XG (2018) Theoretical design, manufacturing, and numerical prediction of a novel multileaf foil journal gas bearing for PowerMEMs. Proceedings of the institution of mechanical engineers, part J. J Eng Tribol 232(7):823–836Google Scholar
  32. 32.
    Li C, Du J, Zhu J, Yao Y (2019) Effects of structural parameters on the load carrying capacity of the multi-leaf gas foil journal bearing based on contact mechanics. Tribol Int 131:318–331CrossRefGoogle Scholar
  33. 33.
    Weaver BK, Dimond TW, Kaplan JA, Untaroiu A, Clarens AF (2015) Gas-expanded lubricant performance and effects on rotor stability in turbomachinery. J Eng Gas Turbines Power 137(7):072601CrossRefGoogle Scholar
  34. 34.
    Weaver BK, Kaplan JA, Clarens AF, Untaroiu A (2016) Transient analysis of gas-expanded lubrication and rotordynamic performance in a centrifugal compressor. J Eng Gas Turbines Power 138(4):042504CrossRefGoogle Scholar
  35. 35.
    Teo CJ, Liu LX, Li HQ, Ho LC, Jacobson SA, Ehrich FF (2009) High-speed operation of a gas-bearing supported MEMS-air turbine. J Tribol 131(3):032001CrossRefGoogle Scholar
  36. 36.
    Zhang WM, Zhou JB, Meng G (2011) Performance and stability analysis of gas-lubricated journal bearings in MEMS. Tribol Int 44(7–8):887–897CrossRefGoogle Scholar
  37. 37.
    Zhang XQ, Wang XL, Liu R (2012) Effects of microfabrication defects on the performance of gas bearings with High aspect ratio in microengine. Tribol Int 48:207–215CrossRefGoogle Scholar
  38. 38.
    Zhang XQ, Wang XL, Zhang YY (2013) Non-linear dynamic analysis of the ultra-short micro gas journal bearing-rotor systems considering viscous friction effects. Nonlinear Dyn 73(1–2):751–765Google Scholar
  39. 39.
    Zhang X, Chen Q, Liu J (2017) Steady characteristics of high-speed micro-gas journal bearings with different gaseous lubricants and extreme temperature difference. J Tribol 139(2):021703CrossRefGoogle Scholar
  40. 40.
    Zhang J, Kang W, Liu Y (2009) Numerical method and bifurcation analysis of jeffcott rotor system supported in gas journal bearings. J Comput Nonlin Dyn 4(1):011007CrossRefGoogle Scholar
  41. 41.
    Wang JS, Wang CC (2005) Nonlinear dynamic and bifurcation analysis of short aerodynamic journal bearings. Tribol Int 38(8):740–748CrossRefGoogle Scholar
  42. 42.
    Yang P, Zhu KQ, Wang XL (2009) On the non-linear stability of self-acting gas journal bearings. Tribol Int 42(1):71–76CrossRefGoogle Scholar
  43. 43.
    Chen JH, Wang CC (2015) Chaotic and dynamic analysis of a flexible rotor supported by ultra short aero-lubricated bearing system. J Appl Res Technol 13(2):328–341CrossRefGoogle Scholar
  44. 44.
    Abdurrahim D, Tuncay K (2017) Effects of angular misalignment on the performance of rotor-bearing systems supported by externally pressurized air bearing. Tribol Int 111:276–288CrossRefGoogle Scholar
  45. 45.
    Hassini MA, Arghir M (2012) A simplified nonlinear transient analysis method for gas bearings. J Tribol 134(1):011704CrossRefGoogle Scholar
  46. 46.
    Hassini MA, Arghir M (2014) A New Approach for the stability analysis of rotors supported by gas bearings. J Eng Gas Turbines Power 136(2):022504CrossRefGoogle Scholar
  47. 47.
    Hassini MA, Arghir M (2015) A simplified and consistent nonlinear transient analysis method for gas bearing: extension to flexible rotors. J Eng Gas Turbines Power 137(9):092502CrossRefGoogle Scholar
  48. 48.
    Zhang J, Zou D, Ta N, Rao Z, Ding B (2018) A numerical method for solution of the discharge coefficients in externally pressurized gas bearings with inherent orifice restrictors. Tribol Int 125:156–168CrossRefGoogle Scholar
  49. 49.
    Tu J, Yeoh GH, Liu C (2008) Computational fluid dynamics: a practical approach. Butterworth-Heinemann, Amsterdam, BostonzbMATHGoogle Scholar
  50. 50.
    Wu M, Yang S, Han D, Yu D, Yang J (2016) Analytical model for nonlinear vibration of flexible rotor system. J Vibroeng 18(8):4980–4981CrossRefGoogle Scholar
  51. 51.
    Han D, Yang J, Chen C, Tang C (2014) Experimental research on the dynamic characteristics of gas-hybrid bearing-flexible rotor system. J Vibroeng 16(5):2363–2374Google Scholar

Copyright information

© KrishteleMaging Solutions Private Limited 2019

Authors and Affiliations

  1. 1.Department of MechanicsTianjin UniversityTianjinChina
  2. 2.Tianjin Key Laboratory of Nonlinear Dynamics and ControlTianjin UniversityTianjinChina
  3. 3.State Key Laboratory of Mechanical System and VibrationShanghai Jiao Tong UniversityShanghaiChina
  4. 4.State Key Laboratory for Strength and Vibration of Mechanical StructuresXi’an Jiaotong UniversityXi’anChina

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