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Analysis of the nonlinear behavior of gear pairs considering hydrodynamic lubrication and sliding friction

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Abstract

This paper describes an analysis of the nonlinear behavior of gear pairs according to the direct contact elastic deformation model over a wide range of speeds, considering the hydrodynamic effects and friction force. The inclusion of the hydrodynamic effect facilitates nonlinearity by increasing the overlap range (i.e., multiple solution regimes) and damping, as well as decreasing elastic deformation and tooth reaction forces. The effects of various lubrication parameters, such as viscosity and film width, on the nonlinear dynamic behavior were analyzed. While the viscosity has a strong effect on the behavior of gear pair systems, friction has very little effect on torsional behavior. Although the model of direct contact without friction has overall nonlinear behavior similar to the model including hydrodynamic effects with friction, the time data of these models are different due to the squeeze effect.

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References

  1. M. Vaishya and R. Singh, Analysis of Periodically Varying Gear Mesh Systems with Coulomb Friction Using Floquet Theory, J. of Sound and Vibration, 243(3) (2001) 525–545.

    Article  Google Scholar 

  2. M. Vaishya and R. Singh, Sliding Friction-Induced Non-Linear and Parametric Effects in Gear Dynamics, J. of Sound and Vibration, 248(4) (2001) 671–694.

    Article  Google Scholar 

  3. S. He, R. Gunda and R. Singh, Effect of Sliding Friction on the Dynamics of Spur Gear Pair with Realistic Time-Varying Stiffness, J. of Sound and Vibration, 301 (2007) 927–949.

    Article  Google Scholar 

  4. S. He, S. Cho and R. Singh, Prediction of Dynamic Friction Forces in Spur Gears Using Alternate Sliding Friction Formulations, J. of Sound and Vibration, 309 (2008) 843–851.

    Article  Google Scholar 

  5. I. Howard, S. Jia and J. Wang, The Dynamic Modeling of a Spur Gear in Mesh Including Friction and a Crack, Mechanical System and Signal Processing, 15(5) (2001) 831–853.

    Article  Google Scholar 

  6. P. Velex amd P. Sainsot, An Analytical Study of Tooth Friction Excitations in Errorless Spur and Helical Gears, Mechanism and Machine Theory, 37 (2002) 641–658.

    Article  MATH  Google Scholar 

  7. A. Kahraman and G. W. Blankenship, Effect of Involute Contact Ratio on Spur Gear Dynamics, Transactions of the ASME, J. of Mechanical Design, 121 (1999) 112–118.

    Article  Google Scholar 

  8. R. Larsson, Transient Non-Newtonian Elastohydrodynamic Lubrication Analysis of an Involute Spur Gear, Wear, (1997) 67–73.

  9. Y. Wang, H. Li, J. Tong and P. Yang, Transient Thermoelastohydrodynamic Lubrication Analysis of an Involute Spur Gear, Tribology, 37 (2004) 773–782.

    Article  Google Scholar 

  10. P. Kumar, P. K. Saini and P. Tandon, Transient Elastohydrodynamic Lubrication Analysis of an Involute Spur Gear Using Couple-Stress Fluid, Proc. IMechE Part J: J. Engineering Tribology, 221 (2007) 743–754.

    Article  Google Scholar 

  11. S. Theodossiades, O. Tangasawi and H. Rahnejat, Gear Teeth Impacts in Hydrodynamic Conjunctions Promoting Idle Gear Rattle, J. of Sound and Vibration, 303 (2007) 632–658.

    Article  Google Scholar 

  12. O. Tangasawi, S. Theodosiades and H. Rahnejat, Lightly Loaded Lubricated Impacts: Idle Gear Rattle, J. of Sound and Vibration, 308 (2007) 418–430.

    Article  Google Scholar 

  13. R. Brancati, E. Rocca and R. Russo, A Gear Rattle Model Accounting for Oil Squeeze Between the Meshing Gear Teeth, Proc. IMechE Part D: J. Automobile Engineering, 219 (2005) 1075–1083.

    Article  Google Scholar 

  14. R. Brancati, E. Rocca and R. Russo, An Analysis of the Automotive Driveline Dynamic Behavior Focusing on the Influence of the Oil Squeeze Effect on the Idle Rattle Phenomenon, J. of Sound and Vibration, 303 (2007) 858–872.

    Article  Google Scholar 

  15. G.-J. Cheon, Nonlinear Behavior Analysis of Spur Gear Pairs with a One-Way Clutch, J. of Sound and Vibration, 301 (2007) 760–776.

    Article  Google Scholar 

  16. G.-J. Cheon, Effects of a One-Way Clutch on the Nonlinear Dynamic Behavior of Spur Gear Pairs under Periodic Excitation, J. of Mechanical Science and Technology, 20(7) (2006) 941–949.

    Article  Google Scholar 

  17. R. G. Parker, S. M. Vijayakar and T. Imajo, Non-Linear Dynamic Response of a Spur Gear Pair: Modeling and Experimental Comparisons, J. of Sound and Vibration, 237(3) (2000) 435–455.

    Article  Google Scholar 

  18. D. Dowson and G. R. Higginson, Elasto-Hydrodynamic Lubrication, Pergamon Press, New York, (1977).

    Google Scholar 

  19. W. J. Bartz, Lubrication of Gearing, Mechanical Engineering Publications, London, (1993).

  20. B. R. Hohn, K. Michaelis and F. Kopatsch, Determination of Film Thickness, Pressure and Temperature in Elastohydrodynamic Lubrication in the Past 20 Years in Germany, Proc. IMechE Part J: J. Engineering Tribology, 215 (2001) 235–242.

    Article  Google Scholar 

  21. J. Castro and J. Seabra, Coefficient of Friction in Mixed Film Lubrication: Gears Versus Twin-Discs, Proc. IMechE Part J: J. Engineering Tribology, 221 (2007) 399–411.

    Article  Google Scholar 

  22. J. D. Smith, Gear Noise and Vibration, Marcel Dekker, New York, (1999).

    Google Scholar 

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Correspondence to Cheon Gill-Jeong.

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This paper was recommended for publication in revised form by Associate Editor Eung-Soo Shin

Cheon Gill-Jeong received his B.S. in Mechanical Engineering from Seoul National University (SNU), Korea, in 1981. He then received his M.S. and Ph.D. degrees from SNU in 1983 and 1988, respectively. He served as a senior research engineer at Seoul National University Hospital and Daewoo Heavy Industry for several years. Dr. Cheon is currently a Professor at the Division of Mechanical Engineering at Wonkwang University in Iksan, Korea. His research interests include dynamics, tribology, and design engineering.

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Gill-Jeong, C. Analysis of the nonlinear behavior of gear pairs considering hydrodynamic lubrication and sliding friction. J Mech Sci Technol 23, 2125–2137 (2009). https://doi.org/10.1007/s12206-009-0623-x

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  • DOI: https://doi.org/10.1007/s12206-009-0623-x

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