1-s2.0-S0094114X22001513-main.pdf (1.23 MB)
Download file

On the stability analysis of gear pairs with tooth profile modification

Download (1.23 MB)
journal contribution
posted on 12.05.2022, 09:59 authored by Amal HajjajAmal Hajjaj, K Corrigan, M Mohammadpour, Stephanos TheodossiadesStephanos Theodossiades

This paper deals with the stability of loaded gear pairs, considering the effects of tooth profile modification. An analytical method to predict the stability of gear pairs has been developed by transforming their equations of motion to a form similar to the Mathieu equation and employing Floquet theory. The variation of (spur gear pair) teeth meshing stiffness due to tooth profile modification has been introduced, for different amounts of transmitted torque. Stability charts are obtained for different gear pairs, as well as undamped and damped conditions. The simulation results have shown that during operation, the examined gear pairs may cross regimes of unstable behaviour, thus contributing to aggressive oscillations of the gearbox. A holistic transmission design must take the above potential effects into consideration when predicting the durability of machine elements, such as gears and bearings.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

Mechanism and Machine Theory

Volume

174

Publisher

Elsevier BV

Version

VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by Elsevier under the Creative Commons Attribution 4.0 International Licence (CC BY). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

18/04/2022

Publication date

2022-05-10

Copyright date

2022

ISSN

0094-114X

Language

en

Depositor

Prof Stephanos Theodossiades. Deposit date: 11 May 2022

Article number

104888