Non-linear dynamical simulation of spur gears with indexing errors and profile modifications

Vasilios Spitas, Christos Spitas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Indexing errors can be a cause of significant vibration and overloads in gear systems and already command much designer attention, especially in high speed gearing applications. Furthermore, the instantaneous tooth elastic deflections also contribute to vibration excitation and tooth profile modifications, usually employed to alleviate the ill effects of these errors, further perplex the modelling procedure. Current gear dynamical simulation models either do not consider indexing errors or do so in a simplified context. To address this problem, in this paper the exact geometry of tooth meshing is used as a starting point for a comprehensive dynamical modelling of gear systems, seamlessly incorporating the effect of pitch errors, tooth separation, DOF coupling, and profile modifications. The resulting model is fundamentally non-linear. A single stage spur gear reducer is then simulated dynamically using various scenarios of error distributions and profile modifications and the dynamical response is extracted. Analysis of the results suggests that there are optimal combinations profile modifications for a given maximum index error, which can reduce lateral force amplitude by 50% and load factor by almost 35%, however with larger modifications the benefit diminishes. It is shown that, when excessive modifications are applied, the dynamical responses of gears with different index error magnitudes converge.

Original languageEnglish
Title of host publicationProceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC
Pages354-359
Number of pages6
Publication statusPublished - 2006
Externally publishedYes
Event25th IASTED International Conference on Modelling, Identification, and Control, MIC 2006 - Lanzarote, Canary Islands, Spain
Duration: Jan 6 2006Jan 8 2006

Other

Other25th IASTED International Conference on Modelling, Identification, and Control, MIC 2006
CountrySpain
CityLanzarote, Canary Islands
Period1/6/061/8/06

Fingerprint

Spur gears
Indexing
Trace
Gears
Simulation
Vibration
Gear teeth
Meshing
Overload
Dynamical Model
Profile
Modeling
Deflection
Instantaneous
Lateral
Simulation Model
High Speed
Excitation
Converge
Scenarios

Keywords

  • DOF coupling
  • Dynamic modelling
  • Indexing errors
  • Pitch errors
  • Simulation
  • Spur gears

ASJC Scopus subject areas

  • Computer Science Applications
  • Software
  • Modelling and Simulation

Cite this

Spitas, V., & Spitas, C. (2006). Non-linear dynamical simulation of spur gears with indexing errors and profile modifications. In Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC (pp. 354-359)

Non-linear dynamical simulation of spur gears with indexing errors and profile modifications. / Spitas, Vasilios; Spitas, Christos.

Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC. 2006. p. 354-359.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Spitas, V & Spitas, C 2006, Non-linear dynamical simulation of spur gears with indexing errors and profile modifications. in Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC. pp. 354-359, 25th IASTED International Conference on Modelling, Identification, and Control, MIC 2006, Lanzarote, Canary Islands, Spain, 1/6/06.
Spitas V, Spitas C. Non-linear dynamical simulation of spur gears with indexing errors and profile modifications. In Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC. 2006. p. 354-359
Spitas, Vasilios ; Spitas, Christos. / Non-linear dynamical simulation of spur gears with indexing errors and profile modifications. Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC. 2006. pp. 354-359
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