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Title: An alternative formulation of the dynamic transmission error to study the oscillations of automotive hypoid gears
Authors: Theodossiades, Stephanos
Karagiannis, Ioannis
Issue Date: 2013
Publisher: © ASME
Citation: THEODOSSIADES, S. and KARAGIANNIS, S., 2013. An alternative formulation of the dynamic transmission error to study the oscillations of automotive hypoid gears. Journal of Vibration and Acoustics: Transactions of the ASME, 136(1), 011001, 12pp.
Abstract: A new modelling approach on the torsional dynamics of hypoid gear pairs is presented in this work. The current formulation is characterised by an alternative expression of the Dynamic Transmission Error (DTE), accounting for the variation of the effective mesh position. Speed dependent resistive torque is introduced on the gear wheel, enabling the system to reach dynamic equilibrium based on realistic vehicle operating conditions. The above are supplementing past research studies, where simplifications were introduced in the calculation of DTE, while the operating angular velocity was defined a priori. The analysis is accompanied by numerical results, indicating the rich dynamic behavior captured by the new formulation. The dynamic complexity of the system necessitates the identification of the various response regimes. A solution continuation method (software AUTO) is employed to follow the stable/unstable periodic response branches over the operating range of the differential under examination.
Description: This article was accepted for publication in the Journal of Vibration and Acoustics, and the definitive version is available at: http://dx.doi.org/10.1115/1.4025206
Version: Accepted for publication
DOI: 10.1115/1.4025206
URI: https://dspace.lboro.ac.uk/2134/13354
Publisher Link: http://dx.doi.org/10.1115/1.4025206
Appears in Collections:Published Articles (Mechanical, Electrical and Manufacturing Engineering)

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