Abstract
In our previous study, the Matsumoto equation was modified by introducing the directivity of machining marks on the tooth surfaces (directional parameter), and it was adapted to estimate the gear friction coefficient with various finishing processes. However, this new estimation equation has been applied only to gear pairs with the same finishing process and under manual transmission fluid (MTF) lubricated conditions. Thus, this study extends its application to a gear pair with different finishing processes and the case under automatic transmission fluid (ATF) lubricated conditions. Herein, efficiency tests were performed using gears with four different finishing processes (grinding, barreling, honing, and small-angle honing), and friction values obtained experimentally were compared with the values estimated from the unmodified and modified Matsumoto equations. Consequently, the correlations between the experimental and estimated friction values were significantly improved.
References
1.
Misharin
, J. A.
, 1958
, “Influence of the Friction Conditions on the Magnitude of the Friction Coefficient in the Case of Rolling With Sliding
,” Instn. Mech. Engrs., Proceedings of International Gear Conference, 1958
, London, UK
, Sept. 23–25
, p. 159
.2.
Benedict
, G.
, and Kelley
, B.
, 1961
, “Instantaneous Coefficients of Gear Tooth Friction
,” ASLE Trans.
, 4
(1
), pp. 59
–70
. 3.
Kelley
, B.
, and Lemanski
, A.
, 1967
, “Lubrication of Involute Gearing
,” Proceedings of the Institution of Mechanical Engineers, Conference Proceedings
, London, UK
, Sept. 25–29
, pp. 173
–184
.4.
Drozdov
, Y. N.
, and Gavrikov
, Y. A.
, 1968
, “Friction and Scoring Under the Conditions of Simultaneous Rolling and Sliding of Bodies
,” Wear
, 11
(4
), pp. 291
–302
. 5.
Trachman
, E. G.
, 1978
, “A Simplified Technique for Predicting Traction in Elastohydrodynamic Contacts
,” ASLE Trans.
, 21
(1
), pp. 53
–62
. 6.
Martin
, K.
, 1978
, “A Review of Friction Predictions in Gear Teeth
,” Wear
, 49
(2
), pp. 201
–238
. 7.
Radzevich
, S. P.
, and Dudley
, D. W.
, 1994
, Handbook of Practical Gear Design
, CRC press
, Boca Raton
.8.
Buckingham
, E.
, 1988
, Analytical Mechanics of Gears
, Courier Corporation
, North Chelmsford
.9.
Ariura
, Y.
, Ueno
, T.
, SunAGA
, T.
, and Sunamoto
, S.
, 1973
, “The Lubricant Churning Loss in Spur Gear Systems
,” Bull. JSME
, 16
(95
), pp. 881
–892
. 10.
Dawson
, P.
, 1984
, “Windage Loss in Larger High-Speed Gears
,” Proc. Inst. Mech. Eng. Part A: Power Process Eng.
, 198
(1
), pp. 51
–59
. 11.
O’donoghue
, J.
, and Cameron
, A.
, 1966
, “Friction and Temperature in Rolling Sliding Contacts
,” ASLE Trans. Actions
, 9
(2
), pp. 186
–194
. 12.
Schoeder
, W.
, and Leimann
, D.
, 1980
, “Ermittlung der Getriebe Verlustleistung
,” Antriebstechnik
, 19
(11
), pp. 532
–535
.13.
Xu
, H.
, Kahraman
, A.
, Anderson
, N.
, and Maddock
, D.
, 2007
, “Prediction of Mechanical Efficiency of Parallel-Axis Gear Pairs
,” ASME J. Mech. Des.
, 129
(1
), pp. 58
–68
. 14.
Matsumoto
, S.
, and Morikawa
, K.
, 2014
, “The New Estimation Formula of Coefficient of Friction in Rolling-Sliding Contact Surface Under Mixed Lubrication Condition for the Power Loss Reduction of Power Transmission Gears
,” Proceedings of International Gear Conference
, Lyon, France
, Aug. 26–28
, pp. 1078
–1088
.15.
Michaelis
, K.
, Höhn
, B.-R.
, and Doleschel
, A.
, 2009
, “Lubricant Influence on Gear Efficiency
,” Proceedings of ASME 2009 International Design Engineering Technical Conferences, DETC2009
, San Diego, CA
, Aug. 30–Sept. 2
, pp. 71
–80
.16.
Patir
, N.
, and Cheng
, H.
, 1978
, “An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication
,” ASME J. Tribol.
, 100
(1
), pp. 12
–17
. 17.
Patir
, N.
, and Cheng
, H.
, 1979
, “Application of Average Flow Model to Lubrication Between Rough Sliding Surfaces
,” ASME J. Tribol.
, 101
(2
), pp. 220
–230
. 18.
Zhu
, D.
, and Cheng
, H.
, 1988
, “Effect of Surface Roughness on the Point Contact EHL
,” ASME J. Tribol.
, 110
(1
), pp. 32
–37
. 19.
Letalleur
, N.
, Plouraboue
, F.
, and Prat
, M.
, 2002
, “Average Flow Model of Rough Surface Lubrication: Flow Factors for Sinusoidal Surfaces
,” ASME J. Tribol.
, 124
(3
), pp. 539
–546
. 20.
Masjedi
, M.
, and Khonsari
, M.
, 2014
, “Mixed Elastohydrodynamic Lubrication Line-Contact Formulas with Different Surface Patterns
,” Proc. Inst. Mech. Eng. Part J J. Eng. Tribol.
, 228
(8
), pp. 849
–859
. 21.
Epstein
, D.
, Yu
, T.
, Wang
, Q. J.
, Keer
, L. M.
, Cheng
, H. S.
, Liu
, S.
, Harris
, S. J.
, and Gangopadhyay
, A.
, 2003
, “An Efficient Method of Analyzing the Effect of Roughness on Fatigue Life in Mixed-EHL Contact
,” Tribol. Trans.
, 46
(2
), pp. 273
–281
. 22.
Wang
, Q. J.
, Zhu
, D.
, Cheng
, H. S.
, Yu
, T.
, Jiang
, X.
, and Liu
, S.
, 2004
, “Mixed Lubrication Analyses by a Macro-Micro Approach and a Full-Scale Mixed EHL Model
,” ASME J. Tribol.
, 126
(1
), pp. 81
–91
. 23.
Ogawa
, H.
, Sasaki
, S.
, Korenaga
, A.
, Miyake
, K.
, Nakano
, M.
, and Murakami
, T.
, 2010
, “Effects of Sur-Face Texture Size on the Tribological Properties of Slideways
,” Proc. Inst. Mech. Eng. Part J J. Eng. Tribol.
, 224
(9
), pp. 885
–890
. 24.
Ito
, S.
, Takahashi
, K.
, and Sasaki
, S.
, 2020
, “Generation Mechanism of Friction Anisotropy by Surface Texturing Under Boundary Lubrication
,” Tribol. Int.
, 149
, p. 105598
. 25.
Wu
, S.
, and Cheng
, H.
, 1991
, “A Friction Model of Partial-EHL Contacts and Its Application to Power Loss in Spur Gears
,” Tribol. Trans.
, 34
(3
), pp. 398
–407
. 26.
Hongu
, J.
, Horita
, R.
, and Koide
, T.
, 2022
, “Estimation of Gear Friction Coefficient Using Directional Parameter of Tooth Surface
,” ASME J. Tribol.
, 144
(1
), p. 011603
. 27.
ISO
, 2012
, ISO 25178: Geometric Product Specifications (GPS). Surface Texture: Areal.28.
Petry-Johnson
, T. T.
, Kahraman
, A.
, Anderson
, N.
, and Chase
, D.
, 2008
, “An Experimental Investigation of Spur Gear Efficiency
,” ASME J. Mech. Des.
, 130
(6
), p. 062601
. 29.
Diab
, Y.
, Ville
, F.
, Velex
, P.
, and Changenet
, C.
, 2004
, “Windage Losses in High Speed Gears—Preliminary Experimental and Theoretical Results
,” ASME J. Mech. Des.
, 126
(5
), pp. 903
–908
. 30.
Kubo
, A.
, 1978
, “Stress Condition, Vibrational Ex-Citing Force, and Contact Pattern of Helical Gears With Manufacturing and Alignment Error
,” ASME J. Mech. Des.
, 100
(1
), pp. 77
–84
. 31.
ISO
, 2007
, ISO 21771: Gears—Cylindrical Involute Gears and Gear Pairs—Concepts and Geometry.32.
Bergseth
, E.
, Sjöberg
, S.
, and Björklund
, S.
, 2012
, “Influence of Real Surface Topography on the Contact Area Ratio in Differently Manufactured Spur Gears
,” Tribol. Int.
, 56
, pp. 72
–80
. 33.
ISO
, 1997
, “ISO 4287: Geometrical Product Specification (GPS). Surface Texture. Profile Method. Terms, Definitions and Surface Texture Parameters.34.
Dowson
, D.
, 1967
, “Paper 10: Elastohydrodynamics
,” Proceedings of the Institution of Mechanical Engineers, Conference Proceedings
, London, UK
, Sept. 25–29
, pp. 151
–167
.35.
Wu
, C.
, Klaus
, E.
, and Duda
, J.
, 1989
, “Development of a Method for the Prediction of Pressure-Viscosity Coefficients of Lubricating Oils Based on Free-Volume Theory
,” ASME J. Tribol.
, 111
(1
), pp. 121
–128
. 36.
ASTM
, 1992
, ASTM D2160: Standard Test Method for Thermal Stability of Hydraulic Fluids (Withdrawn 1997).37.
Hongu
, J.
, Hattori
, S.
, Kato
, J.
, and Koide
, T.
, 2023
, “Gear Friction Coefficient Estimation Using Directional Parameter Under ATF Lubricated Condition
,” Proceedings of International Gear Conference
, Garching, Germany
, Sept. 13–15
, pp. 753
–762
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