Skip to main content

Comparison of Lubricant Force Models for Rattle Analysis on Gear Transmissions

  • Conference paper
  • First Online:
  • 1444 Accesses

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 62))

Abstract

In conventional automotive gearboxes, all gears are engaged, but not all of them are involved in transmitting power to the wheels. These unloaded gear pairs are, nevertheless, subjected to light forces due to slight torque and speed variations and also to the interaction between the tooth surfaces and the lubricant. Under certain circumstances, these conditions can lead to repeated impacts among teeth flanks and counter flanks. As a consequence, undesirable vibrations and noises are produced, which are commonly denominated as rattle phenomena, that result in premature fails and damage of other elements coupled to the transmission, as well as in a lack of passengers comfort. Within this framework, in this study, a survey of the available formulations, which simulate the forces behavior in lubricant environment under rattle conditions, has been performed. In a previous work, the authors assessed different formulations for this purpose, observing significant differences among them and also concluding that two effects should be considered in order to properly model rattle conditions. One is linked with the pressure variation due to the fluid entrance in the tooth conjunction, whilst the other is related to the lubricant squeeze when teeth profiles are approaching. Having this in mind, in this paper, the dynamic behavior of gear transmissions under low-torque conditions were assessed with different hydrodynamic formulations, which consider both squeeze and fluid entrance effects. With this purpose, these nonlinear forces derived from each formulation were obtained and compared for a sample transmission, simulating several working conditions of torque, speed and lubricant viscosity. The results are shown by means of the dynamic transmission error as well as the forces present in the conjunction.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Ankouni, M., Lubrecht, A.A., Velex, P.: Modelling of damping in lubricated line contacts – applications to spur gear dynamic simulations. Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci. 230(7–8), 1222–1232 (2015)

    Google Scholar 

  2. Brancati, R., Rocca, E., Russo, R.: An analysis of the automotive driveline dynamic behaviour focusing on the influence of the oil squeeze effect on the idle rattle phenomenon. J. Sound Vib. 303(3–5), 858–872 (2007)

    Article  Google Scholar 

  3. De la Cruz, M., Theodossiades, S., Rahnejat, H., Kelly, P.: Analysis of non-linear impact dynamics in automotive transmissions: gear rattle. In: Proceedings of the 7th International Conference on Engineering Computational Technology (2010)

    Google Scholar 

  4. Gill-Jeong, C.: Analysis of the nonlinear behavior of gear pairs considering hydrodynamic lubrication and sliding friction. J. Mech. Sci. Technol. 23(8), 2125–2137 (2009)

    Article  Google Scholar 

  5. Guilbault, R., Lalonde, S., Thomas, M.: Nonlinear damping calculation in cylindrical gear dynamic modeling. J. Sound Vib. 331(9), 2110–2128 (2012)

    Article  Google Scholar 

  6. Liu, F.H., Theodossiades, S., Bergman, L.A., Vakakis, A.F., McFarland, D.M.: Analytical characterization of damping in gear teeth dynamics under hydrodynamic conditions. Mech. Mach. Theory 94, 141–147 (2015)

    Article  Google Scholar 

  7. Russo, R., Brancati, R., Rocca, E.: Experimental investigations about the influence of oil lubricant between teeth on the gear rattle phenomenon. J. Sound Vib. 321(3–5), 647–661 (2009)

    Article  Google Scholar 

  8. Rahnejat, H., Gohar, R.: The vibrations of radial ball bearings. Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci. 199(3), 181–193 (1985)

    Article  Google Scholar 

  9. Wiegert, B., Hetzler, H., Seemann, W.: A comparison between elastohydrodynamic and dry hertzian line contacts with regard to their nonlinear vibration behaviour. Proc. Appl. Math. Mech. 11, 335–336 (2011)

    Article  Google Scholar 

  10. Wiegert, B., Hetzler, H., Seemann, W.: An analytical expression of the normal force of hydrodynamic line contacts under transient conditions. Tribol. Int. 61, 32–39 (2013)

    Article  Google Scholar 

  11. Ottewill, J.R., Neild, S.A., Wilson, R.E.: An investigation into the effect of tooth profile errors on gear rattle. J. Sound Vib. 329(17), 3495–3506 (2010)

    Article  Google Scholar 

  12. Fernandez-Del-Rincon, A., Diez-Ibarbia, A., Theodossiades, S.: Gear transmission rattle: assessment of meshing forces under hydrodynamic lubrication. Appl. Acoust. (2017). In press

    Google Scholar 

  13. Diez-Ibarbia, A., del Rincon, A.F., Iglesias, M., de Juan, A., Garcia, P., Viadero, F.: Efficiency analysis of spur gears with a shifting profile. Meccanica 51(3), 707–723 (2016)

    Article  Google Scholar 

  14. Fernández-del Rincón, A., Iglesias, M., de Juan, A., Diez-Ibarbia, A., García, P., Viadero, F.: Gear transmission dynamics: effects of index and run out errors. Appl. Acoust. 108, 63–83 (2016)

    Article  Google Scholar 

  15. Fernández Del Rincón, A., Viadero, F., Iglesias, M., García, P., De-Juan, A., Sancibrian, R.: A model for the study of meshing stiffness in spur gear transmissions. Mech. Mach. Theory 61, 30–58 (2013)

    Article  Google Scholar 

  16. Evans, C.R.: Measurement and Mapping of the Rheological Properties of Elastohydrodynamic Lubricants. University of Cambridge, Cambridge (1983)

    Google Scholar 

Download references

Acknowledgments

This work has been supported by project DPI2017-85390-P funded by the Spanish Ministry of Science and Technology, EUIN2017-88667 funded by the Spanish Ministry of Economy, Industry and Competitiveness and PRX14/00451 project funded by the Spanish Ministry of Education, Culture and Sports.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Fernandez-del-Rincon .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Fernandez-del-Rincon, A., Diez-Ibarbia, A., Iglesias, M., Garcia, P., De-Juan, A., Viadero, F. (2019). Comparison of Lubricant Force Models for Rattle Analysis on Gear Transmissions. In: Cavalca, K., Weber, H. (eds) Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM . IFToMM 2018. Mechanisms and Machine Science, vol 62. Springer, Cham. https://doi.org/10.1007/978-3-319-99270-9_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-99270-9_35

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-99269-3

  • Online ISBN: 978-3-319-99270-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics