Skip to main content
Top

2019 | OriginalPaper | Chapter

Differentiating Tooth Root Cracks and Spalls in Planet Gears from Changes in the Transmission Error

Authors : Dikang Peng, Wade A. Smith, Robert B. Randall

Published in: Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper presents the results of transmission error (TE) analysis of spur planetary gearboxes using finite element methods. Two subsystem models were established to study changes in the transmission error caused by planet gear tooth root cracks and spalls. The simulation results reveal that a tooth crack gives changes twice in a planet revolution (crack opening and closing against the sun and ring gears, respectively) while a tooth spall only gives a change once per planet revolution (since the spalled flank only contacts either the sun or the ring). Moreover, the effect of a tooth crack has a duration independent of the size of the crack, and varies with the load. The results of this paper could be used directly as a potential approach to diagnose the type of planet gear fault if the TE can be measured directly, or used in simulations of dynamic responses to develop signal processing methods to extract the information from vibration responses.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Endo, H., Randall, R.B., Gosselin, C.: Differential diagnosis of spall vs. cracks in the gear tooth fillet region: experimental validation. Mech. Syst. Sig. Process. 23(3), 636–651 (2009)CrossRef Endo, H., Randall, R.B., Gosselin, C.: Differential diagnosis of spall vs. cracks in the gear tooth fillet region: experimental validation. Mech. Syst. Sig. Process. 23(3), 636–651 (2009)CrossRef
2.
go back to reference Jia, S., Howard, I.: Comparison of localised spalling and crack damage from dynamic modelling of spur gear vibrations. Mech. Syst. Sig. Process. 20(2), 332–349 (2006)CrossRef Jia, S., Howard, I.: Comparison of localised spalling and crack damage from dynamic modelling of spur gear vibrations. Mech. Syst. Sig. Process. 20(2), 332–349 (2006)CrossRef
3.
go back to reference Ma, R., Chen, Y.: Research on the dynamic mechanism of the gear system with local crack and spalling failure. Eng. Fail. Anal. 26, 12–20 (2012)CrossRef Ma, R., Chen, Y.: Research on the dynamic mechanism of the gear system with local crack and spalling failure. Eng. Fail. Anal. 26, 12–20 (2012)CrossRef
4.
go back to reference McFadden, P.D., Smith, J.D.: An explanation for the asymmetry of the modulation sidebands about the tooth meshing frequency in epicyclic gear vibration. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 199(1), 65–70 (1985)CrossRef McFadden, P.D., Smith, J.D.: An explanation for the asymmetry of the modulation sidebands about the tooth meshing frequency in epicyclic gear vibration. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 199(1), 65–70 (1985)CrossRef
5.
go back to reference Deshpande, L.G., Smith, W.A., Randall, R.B.: Condition monitoring of planetary gearboxes: modelling mesh stiffness in the presence of planet gear tooth root cracks. In: 8th Australasian Congress on Applied Mechanics: ACAM 8, p. 14. Engineers Australia (2014) Deshpande, L.G., Smith, W.A., Randall, R.B.: Condition monitoring of planetary gearboxes: modelling mesh stiffness in the presence of planet gear tooth root cracks. In: 8th Australasian Congress on Applied Mechanics: ACAM 8, p. 14. Engineers Australia (2014)
6.
go back to reference Howard, I., Jia, S., Wang, J.: The dynamic modelling of a spur gear in mesh including friction and a crack. Mech. Syst. Sig. Process. 15(5), 831–853 (2001)CrossRef Howard, I., Jia, S., Wang, J.: The dynamic modelling of a spur gear in mesh including friction and a crack. Mech. Syst. Sig. Process. 15(5), 831–853 (2001)CrossRef
7.
go back to reference Deshpande, L., Randall, R.B., Smith, W.A.: Diagnostics of planet gear faults from the effects of meshing with the ring and sun gears. In: Proceedings of the 21st International Congress on Sound and Vibration, pp. 13–17 (2014) Deshpande, L., Randall, R.B., Smith, W.A.: Diagnostics of planet gear faults from the effects of meshing with the ring and sun gears. In: Proceedings of the 21st International Congress on Sound and Vibration, pp. 13–17 (2014)
8.
go back to reference Peng, D., Smith, W.A., Randall, R.B., Peng, Z.: Development of an indicator to locate faults on planet gears. In: ICEDyn 2017, Portugal (2017) Peng, D., Smith, W.A., Randall, R.B., Peng, Z.: Development of an indicator to locate faults on planet gears. In: ICEDyn 2017, Portugal (2017)
9.
go back to reference Wang, J., Howard, I.: The torsional stiffness of involute spur gears. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 218(1), 131–142 (2004)CrossRef Wang, J., Howard, I.: The torsional stiffness of involute spur gears. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 218(1), 131–142 (2004)CrossRef
10.
go back to reference Liang, X., Zuo, M.J., Pandey, M.: Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set. Mech. Mach. Theory 76, 20–38 (2014)CrossRef Liang, X., Zuo, M.J., Pandey, M.: Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set. Mech. Mach. Theory 76, 20–38 (2014)CrossRef
11.
go back to reference Mark, W.D., Reagor, C.P., McPherson, D.R.: Assessing the role of plastic deformation in gear-health monitoring by precision measurement of failed gears. Mech. Syst. Sig. Process. 21(1), 177–192 (2007)CrossRef Mark, W.D., Reagor, C.P., McPherson, D.R.: Assessing the role of plastic deformation in gear-health monitoring by precision measurement of failed gears. Mech. Syst. Sig. Process. 21(1), 177–192 (2007)CrossRef
12.
go back to reference Mark, W.D., Reagor, C.P.: Static-transmission-error vibratory-excitation contributions from plastically deformed gear teeth caused by tooth bending-fatigue damage. Mech. Syst. Sig. Process. 21(2), 885–905 (2007)CrossRef Mark, W.D., Reagor, C.P.: Static-transmission-error vibratory-excitation contributions from plastically deformed gear teeth caused by tooth bending-fatigue damage. Mech. Syst. Sig. Process. 21(2), 885–905 (2007)CrossRef
13.
go back to reference Boguski, B., Kahraman, A.: An experimental study on the motion transmission error of planetary gear sets. In: ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, p. V010T11A044. American Society of Mechanical Engineers (2015) Boguski, B., Kahraman, A.: An experimental study on the motion transmission error of planetary gear sets. In: ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, p. V010T11A044. American Society of Mechanical Engineers (2015)
14.
go back to reference Inalpolat, M., Kahraman, A.: A theoretical and experimental investigation of modulation sidebands of planetary gear sets. J. Sound Vibr. 323(3–5), 677–696 (2009)CrossRef Inalpolat, M., Kahraman, A.: A theoretical and experimental investigation of modulation sidebands of planetary gear sets. J. Sound Vibr. 323(3–5), 677–696 (2009)CrossRef
15.
go back to reference Peng, D., Smith, W.A., Randall, R.B., Peng, Z.: Use of mesh phasing to locate faulty planet gears. Mech. Syst. Sig. Process. Under Rev. 116, 12–24 (2018)CrossRef Peng, D., Smith, W.A., Randall, R.B., Peng, Z.: Use of mesh phasing to locate faulty planet gears. Mech. Syst. Sig. Process. Under Rev. 116, 12–24 (2018)CrossRef
Metadata
Title
Differentiating Tooth Root Cracks and Spalls in Planet Gears from Changes in the Transmission Error
Authors
Dikang Peng
Wade A. Smith
Robert B. Randall
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-319-99268-6_20

Premium Partners