The models of normal and tangential oil film damping are established by modeling the viscous-elastic fluid as massless damping elements. The central pressure and film thickness distributions, friction coefficient, and maximum temperature rise with or without considering thermal effect indicate the proposed damping models and the solutions to the damping are valid. Thereafter, the thermal effect on oil film damping is discussed and the effects of contact force, rotation speed, and tooth number of spur gears in line contact non-Newtonian transient thermal elastohydrodynamic lubrication (EHL) on the oil film damping are investigated. The results imply that the larger damping in the normal direction is beneficial to meshing impact resistance and vibration reduction, whereas the smaller damping in the tangential direction is very helpful for fluidity enhancement and friction heat inhibition.
Issue Section:
Design Innovation Paper
References
1.
Chen
, S.
, Tang
, J.
, and Wu
, L.
, 2014
, “Dynamics Analysis of a Crowned Gear Transmission System With Impact Damping: Based on Experimental Transmission Error
,” Mech. Mach. Theory
, 74
(6
), pp. 354
–369
.2.
Liu
, F. H.
, Theodossiades
, S.
, Bergman
, L. A.
, Vakakisd
, A. F.
, and McFarland
, D. M.
, 2015
, “Analytical Characterization of Damping in Gear Teeth Dynamics Under Hydrodynamic Conditions
,” Mech. Mach. Theory
, 94
, pp. 141
–147
.3.
Gill-Jeong
, C.
, 2009
, “Analysis of the Nonlinear Behavior of Gear Pairs Considering Hydrodynamic Lubrication and Sliding Friction
,” J. Mech. Sci. Technol.
, 23
(8
), pp. 2125
–2137
.4.
Barbieri
, M.
, Lubrecht
, A. A.
, and Pellicano
, F.
, 2013
, “Behavior of Lubricant Fluid Film in Gears Under Dynamic Conditions
,” Tribol. Int.
, 62
, pp. 37
–48
.5.
Dowson
, D.
, and Higginson
, G. R.
, 1959
, “A Numerical Solution to the Elasto-Hydrodynamic Problem
,” Proc. Inst. Mech. Eng., Part C
, 1
(1
), pp. 6
–15
.6.
Hua
, D. Y.
, and Khonsari
, M. M.
, 1995
, “Application of Transient Elastohydrodynamic Lubrication Analysis for Gear Transmissions
,” Tribol. Trans.
, 38
(4
), pp. 905
–913
.7.
Larsson
, R.
, 1997
, “Transient Non-Newtonian Elastohydrodynamic Lubrication Analysis of an Involute Spur Gear
,” Wear
, 207
(1
), pp. 67
–73
.8.
Wang
, Y.
, Li
, H.
, Tong
, J.
, and Yang
, P.
, 2004
, “Transient Thermoelastohydrodynamic Lubrication Analysis of an Involute Spur Gear
,” Tribol. Int.
, 37
(10
), pp. 773
–782
.9.
Khonsari
, M. M.
, and Hua
, D. Y.
, 1994
, “Thermal Elastohydrodynamic Analysis Using a Generalized Non-Newtonian Formulation With Application to Bair-Winer Constitutive Equation
,” ASME J. Tribol.
, 116
(1
), pp. 37
–46
.10.
Kumar
, P.
, and Khonsari
, M. M.
, 2009
, “On the Role of Lubricant Rheology and Piezo-Viscous Properties in Line and Point Contact EHL
,” Tribol. Int.
, 42
(11–12
), pp. 1522
–1530
.11.
Zhang
, X.
, Kanapathipillai
, S.
, Wu
, T.
, and Yang
, P.
, 2017
, “Frictional Behaviour and Friction Mechanisms of Rolling-Sliding Contact in Mixed EHL
,” Tribol. Int.
, 114
, pp. 201
–207
.12.
Krupka
, I.
, Sperka
, P.
, and Hartl
, M.
, 2016
, “Effect of Surface Roughness on Lubricant Film Breakdown and Transition From EHL to Mixed Lubrication
,” Tribol. Int.
, 100
, pp. 116
–125
.13.
Liu
, H.
, Zhu
, C.
, Zhang
, Y.
, Wang
, Z.
, and Song
, C.
, 2016
, “Tribological Evaluation of a Coated Spur Gear Pair
,” Tribol. Int.
, 99
, pp. 117
–126
.14.
Venner
, C. H.
, Wang
, J.
, and Lubrecht
, A. A.
, 2016
, “Central Film Thickness in EHL Point Contacts Under Pure Impact Revisited
,” Tribol. Int.
, 100
, pp. 1
–6
.15.
Li
, S.
, and Kahraman
, A.
, 2010
, “A Transient Mixed Elastohydrodynamic Lubrication Model for Spur Gear Pairs
,” ASME J. Tribol.
, 132
(1
), p. 011501
.16.
Li
, S.
, and Kahraman
, A. A.
, 2011
, “Spur Gear Mesh Interface Damping Model Based on Elastohydrodynamic Contact Behavior
,” Int. J. Power
, 1
(1
), pp. 4
–21
.17.
Li
, S.
, and Kahraman
, A.
, 2013
, “A Tribo-Dynamic Model of a Spur Gear Pair
,” J. Sound Vib.
, 332
(20
), pp. 4963
–4978
.18.
Guilbault
, R.
, Lalonde
, S.
, and Thomas
, M.
, 2012
, “Nonlinear Damping Calculation in Cylindrical Gear Dynamic Modeling
,” J. Sound Vib.
, 331
(9
), pp. 2110
–2128
.19.
Ankouni
, M.
, Lubrecht
, A. A.
, and Velex
, P.
, 2014
, “Numerical Simulation of Damping in EHL Line Contacts
,” International Gear Conference
, Lyon, France, Aug. 26–28, pp. 1020
–1028
.20.
Ankouni
, M.
, Lubrecht
, A. A.
, and Velex
, P.
, 2016
, “Modelling of Damping in Lubricated Line Contacts—Applications to Spur Gear Dynamic Simulations
,” Proc. Inst. Mech. Eng., Part C
, 230
(7–8
), pp. 1222
–1232
.21.
Zhang
, Y.
, Liu
, H.
, Zhu
, C.
, Liu
, M.
, and Song
, C.
, 2016
, “Oil Film Stiffness and Damping in an Elastohydrodynamic Lubrication Line Contact-Vibration
,” J. Mech. Sci. Technol.
, 30
(7
), pp. 3031
–3039
.22.
Arreaza
, C.
, Behdinan
, K.
, and Zu
, J. W.
, 2016
, “Linear Stability Analysis and Dynamic Response of Shimmy Dampers for Main Landing Gears
,” ASME J. Appl. Mech.
, 83
(8
), p. 081002
.23.
Yang
, P.
, and Wen
, S.
, 1990
, “A Generalized Reynolds Equation for Non-Newtonian Thermal Elastohydrodynamic Lubrication
,” ASME J. Tribol.
, 112
(4
), pp. 631
–636
.24.
Roelands
, C. J. A.
, Vlugter
, J. C.
, and Waterman
, H. I.
, 1963
, “The Viscosity-Temperature-Pressure Relationship of Lubricating Oils and Its Correlation With Chemical Constitution
,” ASME J. Basic Eng.
, 85
(4
), pp. 601
–607
.25.
Dowson
, D.
, and Higginson
, G. R.
, 1966
, Elastohydrodynamic Lubrication: The Fundamentals of Roller and Gear Lubrication
, Pergamon Press
, Oxford, UK.26.
Venner
, C. H.
, ten Napel
, W. E.
, and Bosma
, R.
, 1990
, “Advanced Multilevel Solution of the EHL Line Contact Problem
,” ASME J. Tribol.
, 112
(3
), pp. 426
–431
.27.
Yang
, P.
, and Rodkiewicz
, C. M.
, 1997
, “On the Numerical Analysis to the Thermoelastohydrodynamic Lubrication of a Tilting Pad Inclusive of Side Leakage
,” Tribol. Trans.
, 40
(2
), pp. 259
–266
.28.
Liu
, H.
, Zhu
, C.
, Sun
, Z.
, and Song
, C.
, 2016
, “Starved Lubrication of a Spur Gear Pair
,” Tribol. Int.
, 94
, pp. 52
–60
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