pp 1–15 | Cite as

Nonlinear dynamic analysis of low viscosity fluid-lubricated tilting-pad journal bearing for different design parameters

  • Yingze Jin
  • Fei Chen
  • Jimin Xu
  • Xiaoyang YuanEmail author
Open Access
Research Article


To reveal nonlinear dynamic rules of low viscosity fluid-lubricated tilting-pad journal bearings (TPJBs), the effects of design parameters on journal center orbits and dynamic minimum film thicknesses of water-lubricated TPJBs with and without static loads are investigated. The hydrodynamic bearing force used in the nonlinear dynamic analysis is an approximate analytical solution including the turbulence effect. The results reveal the methods for vibration suppression and load capacity improvement and give an optimal pivot offset and clearance ratio that can maximize the minimum film thickness. The results also show that four-pad TPJBs with loads between pads are preferred due to good dynamic performance and load capacity. This study would provide some guidance for nonlinear design of low viscosity fluid-lubricated TPJBs under dynamic loads.


journal center orbit dynamic minimum film thickness tilting-pad journal bearing bearing design parameter 



This work is supported by National Basic Research Program of China (Grant No. 2015CB057303) and National Natural Science Foundation of China (Grant No. 51775412).


  1. [1]
    Wang Y C, Liu Y, Wang Z C, Wang Y M. Surface roughness characteristics effects on fluid load capability of tilt pad thrust bearings with water lubrication. Friction 5(4): 392–401: (2017)CrossRefGoogle Scholar
  2. [2]
    Fillon M, Wodtke M, Wasilczuk M. Effect of presence of lifting pocket on the THD performance of a large tilting-pad thrust bearing. Friction 3(4): 266–274: (2015)CrossRefGoogle Scholar
  3. [3]
    Kim S, Palazzolo A B. Bifurcation analysis of a rotor supported by five-pad tilting pad journal bearings using numerical continuation. J Tribol 140(2): 021701: (2018)CrossRefGoogle Scholar
  4. [4]
    Bai H Y, Liu X X, Li H G, Zhang W M, Meng G, Li M, Wang X H. Nonlinear dynamic characteristics of a large-scale tilting pad journal bearing-rotor system. J Vibroeng 16(8): 4045–4064: (2014)Google Scholar
  5. [5]
    Li M, Liu X X, Zhu R, Wang X H, Bai H Y, Li F C, Li H G, Meng G. Rotor dynamics behavior of tilting pad bearing supported turbo-expander considering temperature gradient. J Comput Nonlinear Dyn 11(2): 021004: (2016)CrossRefGoogle Scholar
  6. [6]
    Cha M, Glavatskih S. Nonlinear dynamic behaviour of vertical and horizontal rotors in compliant liner tilting pad journal bearings: Some design considerations. Tribol Int 82: 142–152: (2015)CrossRefGoogle Scholar
  7. [7]
    Okabe E P. Analytical model of a tilting pad bearing including turbulence and fluid inertia effects. Tribol Int 114: 245–256: (2017)CrossRefGoogle Scholar
  8. [8]
    Abu-Mahfouz I, Adams M L. Numerical study of some nonlinear dynamics of a rotor supported on a three-pad tilting pad journal bearing (TPJB). J Vib Acoust 127(3): 262–272: (2005)CrossRefGoogle Scholar
  9. [9]
    Ying J Y, Jiao Y H, Chen Z B. Nonlinear dynamics analysis of tilting pad journal bearing-rotor system. Shock Vib 18(1–2): 45–52: (2011)CrossRefGoogle Scholar
  10. [10]
    Lu Y J, Ji L F, Zhang Y F, Wu Y, Liu Y Y, Yu L. Dynamic behaviours of the rotor non-linear system with fixed–tilting-pad journal bearings support. Proc Inst Mech Eng Part J J Eng Tribol 224(10): 1037–1047: (2010)CrossRefGoogle Scholar
  11. [11]
    White M F, Torbergsen E, Lumpkin V A. Rotordynamic analysis of a vertical pump with tilting-pad journal bearings. Wear 207(1–2): 128–136: (1997)CrossRefGoogle Scholar
  12. [12]
    Monmousseau P, Fillon M, Frêne J. Transient thermoelastohydrodynamic study of tilting-pad journal bearings under dynamic loading. J Eng Gas Turbines Power 120(2): 405–409: (1998)CrossRefGoogle Scholar
  13. [13]
    Brancati R, Rocca E, Russo R. Non-linear stability analysis of a rigid rotor on tilting pad journal bearings. Tribol Int 29(7): 571–578: (1996)CrossRefGoogle Scholar
  14. [14]
    Gadangi R K, Palazzolo A B. Transient analysis of tilt pad journal bearings including effects of pad flexibility and fluid film temperature. J Tribol 117(2): 302–307: (1995)CrossRefGoogle Scholar
  15. [15]
    Desbordes H, Fillon M, Wai C C H, Frene J. Dynamic analysis of tilting-pad journal bearing—influence of pad deformations. J Tribol 116(3): 621–627: (1994)CrossRefGoogle Scholar
  16. [16]
    Hei D, Lu Y J, Zhang Y F, Lu Z Y, Gupta P, Müller N. Nonlinear dynamic behaviors of a rod fastening rotor supported by fixed–tilting pad journal bearings. Chaos Solitons Fractals 69: 129–150: (2014)CrossRefGoogle Scholar
  17. [17]
    Okabe E P, Cavalca K L. Rotordynamic analysis of systems with a non-linear model of tilting pad bearings including turbulence effects. Nonlinear Dyn 57(4): 481–495: (2009)CrossRefGoogle Scholar
  18. [18]
    Armentrout R W, He M H, Haykin T, Reed A E. Analysis of turbulence and convective inertia in a water-lubricated tilting-pad journal bearing using conventional and CFD approaches. Tribol Trans 60(6): 1129–1147: (2017)CrossRefGoogle Scholar
  19. [19]
    Li Y, Wang D Z, Gu W G. Study on the dynamic characteristics of the water-lubricated tilting-pad radial bearing considering temperature-viscosity effect. In Proceedings of the 2014 22nd International Conference on Nuclear Engineering, Prague, Czech Republic, 2014: 1–6.Google Scholar
  20. [20]
    Jin Y Z, Shi Z Y, Zhang X J, Yuan X Y. Rapid solution for analysis of nonlinear fluid film force and dynamic behavior of a tilting-pad journal bearing-rotor system with turbulent and thermal effects. Friction (2019). doi: (in Press)
  21. [21]
    Taylor C M, Dowson D. Turbulent lubrication theory - application to design. J Lubr Technol 96(1): 36–46: (1974)CrossRefGoogle Scholar
  22. [22]
    Taniguchi S, Makino T, Takeshita K, Ichimura T. A thermohydrodynamic analysis of large tilting-pad journal bearing in laminar and turbulent flow regimes with mixing. J Tribol 112(3): 542–548: (1990)CrossRefGoogle Scholar
  23. [23]
    Bouard L, Fillon M, Frêne J. Comparison between three turbulent models—application to thermohydrodynamic performances of tilting-pad journal bearings. Tribol Int 29(1): 11–18: (1996)CrossRefGoogle Scholar
  24. [24]
    Jin Y Z, Chen F, Zhang F, Yuan X Y. Nonlinear dynamic performance of tilting-pad journal bearing with adjustable elastic pivot design. Tribol Int 136: 533–547: (2019)CrossRefGoogle Scholar

Copyright information

© The author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not in-cluded in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

To view a copy of this licence, visit

Authors and Affiliations

  1. 1.Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing SystemXi’an Jiaotong UniversityXi’anChina
  2. 2.Institute of Tribology, School of Mechanical EngineeringHefei University of TechnologyHefeiChina

Personalised recommendations