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Enhanced friction model for high-speed right-angle gear dynamics

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Abstract

The modeling of elastohydrodynamic lubrication friction and the analysis of its dynamic effect on right-angle gears, such as hypoid and spiral bevel types are performed in the present study. Unlike the classically applied empirical constant coefficient of friction at the contacting tooth surfaces, the enhanced physics-based gear mesh friction model is both spatial and time-varying. The underlying formulation assumes mixed elastohydrodynamic lubrication (EHL) condition in which the division and load distribution between the full film and asperity contact zones are determined by the film thickness ratio and load sharing coefficient. In the proposed time-varying friction model, the calculation of friction coefficient is performed at each contact grid inside the instantaneous contact area that is being subjected to mineral oil lubrication. The effective friction coefficient and directional parameters synthesized from the net frictional and normal contact forces are then incorporated into a nonlinear time-varying right-angle gear dynamic model. Using this model, the effect of friction on the gear dynamic response due to the transmission error and mesh excitations is analyzed. Also, parametric studies are performed by varying torque, surface roughness and lubrication properties to understand the salient role of tooth sliding friction in gear dynamics. The simulation results are included. But experimental verification is needed.

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Authors and Affiliations

  1. The State Key Laboratory of Mechanical Transmission Chongqing University, Shapingba, Chongqing, 400044, China

    Zhiheng Feng & Shilong Wang

  2. School of Dynamic Systems, Mechanical Engineering University of Cincinnati, P.O. Box 210072, Cincinnati, Ohio, 45221, USA

    Teik C. Lim & Tao Peng

Authors
  1. Zhiheng Feng
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  2. Shilong Wang
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  3. Teik C. Lim
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  4. Tao Peng
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Correspondence to Zhiheng Feng.

Additional information

This paper was recommended for publication in revised form by Editor

Zhiheng Feng received his B.S. and M.S. degrees in college of Automation of Chongqing University, China, in 2003 and 2006, respectively. He is Ph.D Candidate in Mechanical Engineering from Chongqing University, China. Feng currently is a visiting Ph.D candidate at the department of Mechanical Engineering, University of Cincinnati, Cincinnati, Ohio, USA.

Shi-Long Wang received his B.S., M.S. and Ph.D degrees in Mechanical Engineering from Chongqing University, China, in 1988, 1991 and 1995, respectively. Dr. Wang currently is a Professor at the School of Mechanical Engineering, Chongqing University, Chongqing, China. He serves as a director of the Chinese Journal of Mechanical Engineering. Dr. Wang’s research interests include manufacturing automation, computer integrated manufacturing and enterprises informatization.

Teik C. Lim received his Ph.D degree in Mechanical Engineering from Ohio State University, USA. Dr. Lim currently is a Herman Schneider Professor and Department Head in Department of Mechanical Engineering, University of Cincinnati, USA. Lim’s research interests include design and dynamics of precision machine elements and gear noise and vibrations.

Tao Peng received his Ph.D degree in Mechanical Engineering from University of Cincinnati, USA. Dr. Peng currently is a project engineer in ArvinMeritor. Peng—s specialty areas include machine dynamics, vibration and noise, gear design and drivetrain engineering.

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Feng, Z., Wang, S., Lim, T.C. et al. Enhanced friction model for high-speed right-angle gear dynamics. J Mech Sci Technol 25, 2741–2753 (2011). https://doi.org/10.1007/s12206-011-0803-3

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  • DOI: https://doi.org/10.1007/s12206-011-0803-3

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