Nonlinear methodology for assessing vibrational dynamics of a single gear pair under different tribological conditions

  • Renato Brancati
  • Raffaele Capasso
  • Vincenzo NiolaEmail author
  • Giuseppe Quaremba
  • Ernesto Rocca
  • Sergio Savino
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


In the paper an experimental technique for diagnosing anomalous gear operations, focused on the tribological conditions, is described and tested. The method evaluates vibrational data to find the teeth engagement discontinuity during the transmission due to different lubrication conditions. Lubrication in gears is of great importance because it reduces dissipative actions and temperature. In particular the study considers a “boundary” lubrication regime, i.e. a poor lubrication typical of gear tooth contacts without oil external feeding. The qualitative indexes adopted in the paper, based on a non-linear signal analysis, show a good sensitivity to different behaviors in the various operative conditions.


gears rattle vibrations lubrication diagnostic system 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.



The authors thank Gennaro Stingo and Giuseppe Iovino (Department of Industrial Engineering), Mario Minocchi and Davide Marcone (IT Laboratory) at the University of Naples Federico II, for their fundamental technical support during the tuning stages of the test rig.


  1. 1.
    E. Zwicker, H. Fastl, Psycho-acoustics: Facts and Models. Springer-Verlag Berlin Heidelberg, 2007.Google Scholar
  2. 2.
    P. Marques, R. Martins, J. Seabra, Power loss and load distribution models including frictional effects for spur and helical gears, Mech. Mach. Theory 96 (2016) 1–25, doi: 10.1016/j.mechmachtheory.2015.09.005.Google Scholar
  3. 3.
    A. Diez-Ibarbia, A. Fernandez-Del-Rincon, P. Garcia, A. De-Juan, M. Iglesias, F. Viadero, Assessment of load dependent friction coefficients and their influence on spur gears efficiency Meccanica 53 (2018) 425-445.Google Scholar
  4. 4.
    A . Diez-Ibarbia, A . Fernandez-del Rincon, A . de Juan, M. Iglesias, P. Garcia, F. Viadero, Frictional power losses on spur gears with tip reliefs. The friction coefficient role, Mechanism and Machine Theory 121 (2018) 15-27, doi: 10.1016/j.mechmachtheory.2017.10.003Google Scholar
  5. 5.
    Lorea A., Morra G., Ruspa G. Advanced Statistical Methods for the Correlation Between Noise and Transmission Error in Gears. Fiat Research Center. (SAE Technical Paper 865144).Google Scholar
  6. 6.
    Drago R. J. How to Design Quiet Transmissions. Machine Design, Dec. 1980.Google Scholar
  7. 7.
    R. Brancati, E. Rocca, S. Savino - A gear rattle metric based on the wavelet multi-resolution analysis: Experimental investigation. Mechanical Systems and Signal Processing, Vol. 50-51, pp. 161 – 173, 2015.Google Scholar
  8. 8.
    R. Brancati, E. Rocca, S. Savino, F. Farroni. Analysis of gear rattle by means of a wavelet-based signal processing procedure. Meccanica, vol. 48-6, pp. 1399-1413, 2013.Google Scholar
  9. 9.
    V. Niola, G. Quaremba. The Gear Whine Noise: The influence of manufacturing process on vibro-acoustic emission of gear-box. 10th WSEAS International Conference on EHAC’11 and ISPRA’11, 3rd WSEAS Int. Conf. on Nanotechnology, Nanotechnology’11, 6th WSEAS Int. Conf. on ICOAA’11, 2nd WSEAS Int.Conf. on IPLAFUN’11, pp. 175-179, 2011.Google Scholar
  10. 10.
    V. Niola, V. Avagliano, G. Quaremba. The gear whine noise. Recent Researches in Geog-raphy, Geology, Energy, Environment and Biomedicine - Proc. of the 4th WSEAS Int. Conf. on EMESEG’11, 2nd Int. Conf. on WORLD-GEO’11, 5th Int. Conf. on EDEB’11, pp. 445-450, 2011.Google Scholar
  11. 11.
    V. Niola, G. Quaremba, A. Forcelli. The detection of gear noise computed by integrating the Fourier and Wavelet methods. WSEAS Transactions on Signal Processing, 4(3), pp. 60-67, 2008.Google Scholar
  12. 12.
    R. Brancati, U. Montanaro, E. Rocca, S. Santini, F. Timpone. Analysis of Bifurcations, Rattle and Chaos in a Gear Transmission System. International Review of Mechanical Engineering (IREME), Vol. 7 N. 4 pp. 583-591, 2013.Google Scholar
  13. 13.
    Takens F. Detecting strange attractors in turbulence, Lecture Notes in Mathematics 98, Berlin: Springer, 366-381, 1981.Google Scholar
  14. 14.
    Gottwald G.A., I. Melbourne, A new test for chaos in deterministic systems, Proc. R. Soc. London, A 460, (2004), 603-611.Google Scholar
  15. 15.
    Gottwald, Georg A., and Ian Melbourne. Testing for Chaos in Deterministic Systems with Noise. Physica D: Nonlinear Phenomena 212.1–2 (2005): 100–110.Google Scholar
  16. 16.
    Eckmann, J. P. et al. Liapunov Exponents from Time Series. Physical Review A 34.6 (1986): 4971–4979.Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Industrial EngineeringUniversity of Naples “Federico II”NaplesItaly

Personalised recommendations