An integrated model is proposed for involute gear pair combining the mixed elastodhydrodynamic lubrication (EHL) theory for finite line contact with surface temperature rise equations considering tribo-dynamic loading behaviors. The film stiffness and viscous damping as well as the friction force are taken into account. The surface topography of tooth flank measured by 3D surface profiler is also included to solve the local temperature and pressure distribution in the contact area. The results show that the temperature distributions in different meshing positions along the line of action exhibit dissimilar characteristics due to the varying of dynamic load and the changing slip-to-roll ratio, which denotes the relationship between sliding velocity and rolling velocity on the tooth flank. Besides, the maximum of temperature is likely to appear at different sides of the gear tooth width as the gear pair meshes along the line of action. Moreover, with the increasing surface roughness, the ratio of asperity contacts becomes larger, so more heat generates from the contact area and leads to higher temperature rise.
Issue Section:
Elastohydrodynamic Lubrication
References
1.
Patir
, N.
, and Cheng
, H. S.
, 1978
, “An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication
,” ASME J. Lub. Tech.
, 100
(1
), pp. 12
–17
.10.1115/1.34531032.
Patir
, N.
, and Cheng
, H. S.
, 1979
, “Application of Average Flow Model to Lubrication Between Rough Sliding Surfaces
,” ASME J. Lub. Tech.
, 101
(4
), pp. 220
–229
.10.1115/1.34533293.
Zhu
, D.
, and Cheng
, H. S.
, 1988
, “Effect of Surface Roughness on the Point Contact EHL
,” ASME J. Tribol.
, 110
(1
), pp. 32
–37
.10.1115/1.32615714.
Goglia
, P. R.
, Cusano
, C.
, and Conry
, T. F.
, 1984
, “The Effects of Surface Irregularities on the Elastohydrodynamic Lubrication of Sliding Line Contacts, Part I-Single Irregularities, Part II—Wavy Surfaces
,” ASME J. Tribol.
, 106
(1
), pp. 104
–119
.10.1115/1.32608455.
Lubrecht
, A. A.
, ten Napel
, W. E.
, and Bosma
, R.
, 1988
, “The Influence of Longitudinal and Transverse Roughness on the Elastohydrodynamic Lubrication of Circular Contacts
,” ASME J. Tribol.
, 110
(3
), pp. 421
–426
.10.1115/1.32616456.
Chang
, L.
, Cusano
, C.
, and Conry
, T. F.
, 1989
, “Effects of Lubricant Rheology and Kinematic Condition on Micro-Elastohydrodynamic Lubrication
,” ASME J. Tribol.
, 111
(1
), pp. 344
–351
.10.1115/1.32619207.
Ai
, X.
, and Zhen
, L.
, 1989
, “A General Model for Micro-Elastohydrodynamic Lubrication and Its Full Numerical Solution
,” ASME J. Tribol.
, 111
(4
), pp. 569
–579
.10.1115/1.32619798.
Venner
, C. H.
, and ten Napel
, W. E.
, 1992
, “Surface Roughness Effects in an EHL Line Contact
,” ASME J. Tribol.
, 114
(3
), pp. 616
–622
.10.1115/1.29209269.
Ai
, X.
, Cheng
, H. S.
, and Zheng
, L.
, 1993
, “A Transient Model for Micro-Elastohydrodynamic Lubrication With Three Dimensional Irregularities
,” ASME J. Tribol.
, 115
(1
), pp. 102
–110
.10.1115/1.292096110.
Chang
, L.
, Webster
, M. N.
, and Jackson
, A.
, 1994
, “A Line Contact Micro-EHL Model With Three-Dimensional Surface Topography
,” ASME J. Tribol.
, 116
(1
), pp. 21
–28
.10.1115/1.292704011.
Ai
, X.
, and Cheng
, H. S.
, 1994
, “Transient EHL Analysis for Line Contacts With Measured Surface Roughness Using Multigrid Technique
,” ASME J. Tribol.
, 116
(3
), pp. 549
–558
.10.1115/1.292887912.
Venner
, C. H.
, and Lubrecht
, A. A.
, 1996
, “Numerical Analysis of the Influence of Waviness on the Film Thickness of a Circular EHL Contact
,” ASME J. Tribol.
, 118
(1
), pp. 153
–161
.10.1115/1.283707113.
Xu
, G.
, and Sadeghi
, F.
, 1996
, “Thermal EHL Analysis of Circular Contacts With Measured Surface Roughness
,” ASME J. Tribol.
, 118
(3
), pp. 473
–482
.10.1115/1.283156014.
Zhu
, D.
, and Ai
, X.
, 1997
, “Point Contact EHL Based on Optically Measured Three-Dimensional Rough Surfaces
,” ASME J. Tribol.
, 119
(3
), pp. 375
–384
.10.1115/1.283349815.
Hu
, Y. Z.
, and Zhu
, D.
, 2000
, “Full Numerical Solution to the Mixed Lubrication in Point Contacts
,” ASME J. Tribol.
, 122
(1
), pp. 1
–9
.10.1115/1.55532216.
Zhu
, D.
, Wang
, J. X.
, Ren
, N.
, and Wang
, Q.
, 2012
, “Mixed Elastohydrodynamic Lubrication in Finite Roller Contacts Involving Realistic Geometry and Surface Roughness
,” ASME J. Tribol.
, 134
(1
), p. 011501
.10.1115/1.400595217.
Holmes
, M. J. A.
, Evans
, H. P.
, and Snidle
, R. W.
, 2005
, “Analysis of Mixed Lubrication Effects in Simulated Gear Tooth Contacts
,” ASME J. Tribol.
, 127
(1
), pp. 61
–69
.10.1115/1.182845218.
Li
, S.
, and Kahraman
, A.
, 2010
, “A Transient Mixed Elastohydrodynamic Lubrication Model for Spur Gear Pairs
,” ASME J. Tribol.
, 132
(1
), p. 011501
.10.1115/1.400027019.
Evans
, H. P.
, Snidle
, R. W.
, and Sharif
, K. J.
, 2013
, “Analysis of Micro-Elastohydrodynamic lubrication and Prediction of Surface Fatigue Damage in Micropitting Tests on Helical Gears
,” ASME J. Tribol.
, 135
(1
), p. 011501
.10.1115/1.400769320.
Wang
, K. L.
, and Cheng
, H. S.
, 1981
, “A Numerical Solution to the Dynamic Load, Film Thickness and Surface Temperatures in Spur Gears, Part I: Analysis
,” ASME J. Mech. Des.
, 103
(1
), pp. 177
–187
.10.1115/1.325485921.
Wang
, K. L.
, and Cheng
, H. S.
, 1981
, “A Numerical Solution to the Dynamic Load, Film Thickness and Surface Temperatures in Spur Gears, Part II: Results
,” ASME J. Mech. Des.
, 103
(1
), pp. 188
–194
.10.1115/1.325486022.
Brancati
, R.
, Rocca
, E.
, and Russo
, R.
, 2007
, “An Analysis of the Automotive Driveline Dynamic Behavior Focusing on the Influence of the Oil Squeeze Effect on the Idle Rattle Phenomenon
,” J. Sound Vib.
, 303
, pp. 858
–872
.10.1016/j.jsv.2007.02.00823.
Li
, S.
, and Kahraman
, A.
, 2011
, “Influence of Dynamic Behavior on Elastohydrodynamic Lubrication of Spur Gear
,” J. Eng. Trib.
, 225
, pp. 740
–753
.10.1177/135065011140951724.
Li
, S.
, and Kahraman
, A.
, 2011
, “A Spur Gear Mesh Interface Damping Model Based on Elastohydrodynamic Contact Behavior
,” Int. J. Powertrains
, 1
, pp. 4
–21
.10.1504/IJPT.2011.04190725.
Li
, S.
, and Kahraman
, A.
, 2013
, “A Tribo-Dynamic Model of a Spur Gear Pair
,” J. Sound Vib.
, 332
, pp. 4963
–4978
.10.1016/j.jsv.2013.04.02226.
Kim
, K. H.
, and Sadeghi
, F.
, 1992
, “Three-Dimensional Temperature Distribution in EHD Lubrication, Part I: Circular Contact
,” ASME J. Tribol.
, 114
(1
), pp. 32
–41
.10.1115/1.292086427.
Kim
, K. H.
, and Sadeghi
, F.
, 1993
, “Three-Dimensional Temperature Distribution in EHD Lubrication, Part II: Point Contact and Numerical Formulation
,” ASME J. Tribol.
, 115
(1
), pp. 36
–45
.10.1115/1.292098428.
Lee
, R. T.
, and Hsu
, C. H.
, 1993
, “A Fast Method for the Analysis of Thermal-Elastohydrodynamic Lubrication of Rolling/Sliding Line Contacts
,” Wear
, 166
, pp. 107
–177
.10.1016/0043-1648(93)90285-T29.
Lee
, R. T.
, and Hsu
, C. H.
, 1995
, “Multilevel Solution for Thermal Elastohydrodynamic Lubrication of Rolling/Sliding Circular Contacts
,” Tribol. Int.
, 28
(8
), pp.541
–552
.10.1016/0301-679X(96)85542-330.
Hsu
, R. T.
, and Hsu
, C. H.
, 1994
, “Advanced Multilevel Solution for Thermal Elastohydrodynamic Lubrication of Simple Sliding Line Contacts
,” Wear
, 171
, pp. 227
–237
.10.1016/0043-1648(94)90366-231.
Hsu
, C. H.
, and Lee
, R. T.
, 1994
, “An Efficient Algorithm for Thermal Elastohydrodynamic Lubrication Under Rolling/Sliding Line Contacts
,” ASME J. Tribol.
, 116
(4
), pp. 762
–769
.10.1115/1.292733032.
Gao
, J.
, Lee
, S. C.
, Ai
, X.
, and Nixon
, H.
, 2000
, “An FFT-Based Transient Flash Temperature Model of General Three-Dimensional Rough Surface Contacts
,” ASME J. Tribol.
, 122
(3
), pp. 519
–523
.10.1115/1.55539533.
Liu
, S. B.
, and Wang
, Q.
, 2001
, “A Three-Dimensional Thermomechanical Model of Contact Between Non-Conforming Rough Surfaces
,” ASME J. Tribol.
, 123
(1
), pp. 17
–26
.10.1115/1.132758534.
Wang
, W. Z.
, Wang
, H.
, Liu
, Y. C.
, Hu
, Y. Z.
, and Zhu
, D.
, 2003
, “A Comparative Study of the Methods for Calculation of Surface Elastic Deformation
,” J. Eng. Tribol.
, 217
(2
), pp. 145
–153
.10.1243/1350650036060357035.
Wang
, W. Z.
, Liu
, Y. C.
, Wang
, H.
, and Hu
, Y. Z.
, 2004
, “A Computer Thermal Model of Mixed Lubrication in Point Contacts
,” ASME J. Tribol.
, 126
(1
), pp. 162
–170
.10.1115/1.163101236.
Yuan.
S. H.
, Dong
, H. L.
, and Li
, X. Y.
, 2012
, “Analysis of Lubricating Performance for Involute Gear Based on Dynamic Loading Theory
,” ASME, J. Mech. Des.
, 134
(12
), p. 124004
.10.1115/1.400784237.
Yang
, P.
, and Yang
, P. R.
, 2006
, “Theory of Thermal Elastohydrodynamic Lubrication for Helical Gears
,” J. Mech. Eng.
, 42
(10
), pp. 43
–48
(in Chinese)10.3901/JME.2006.10.04338.
Carslaw
, H. S.
, and Jaeger
, J. C.
, 1959
, Conduction of Heat in Solids
, Second ed., Oxford Press
, New York.39.
Liou
, J. J.
, 2010
, “A Theoretical Experimental Investigation of Roller and Gear Scuffing
,” Ph.D. thesis, The Ohio State University, Columbus, OH.40.
Umezawa
, K.
, Suzuki
, T.
, and Sato
, T.
, 1986
, “Vibration of Power Transmission Helical Gears (Approximate Equation of Tooth Stiffness)
,” Bull. JSME
, 29
(251
), pp. 1605
–1611
.10.1299/jsme1958.29.160541.
Johnson
, K. L.
, Greenwood
, J. A.
, and Poon
, S. Y.
, 1972
, “A Simple Theory of Asperity Contact in Elastohydrodynamic Lubrication
,” Wear
, 19
, pp. 91
–108
.10.1016/0043-1648(72)90445-042.
Akbarzadeh
, S.
, and Khonsari
, M. M.
, 2008
, “Thermoelastohydrodynamic Analysis of Spur Gears With Consideration of Surface Roughness
,” Tribol. Lett.
, 32
, pp. 129
–141
.10.1007/s11249-008-9370-x43.
Fatih
, K.
, Stephen
, E. O.
, and Kadir
, C.
, 2008
, “Dynamic Analysis of Involute Spur Gears With Asymmetric Teeth
,” Int. J. Mech. Sci.
, 50
, pp. 1598
–1610
.10.1016/j.ijmecsci.2008.10.00444.
Pedrero
, J. I.
, Pleguezuelos
, M.
, and Artoes
, M.
, 2010
, “Load Distribution Model Along the Line of Contact for Involute External Gears
,” Mech. Mach. Theory
, 45
, pp. 780
–794
.10.1016/j.mechmachtheory.2009.12.009Copyright © 2014 by ASME
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