Prediction of Mechanical Efficiency of Parallel-Axis Gear Pairs

Journal of Mechanical Design, Transactions Of the ASME - Tập 129 Số 1 - Trang 58-68 - 2007
Haijun Xu1, A. Kahraman1, Neil Anderson2, D. G. Maddock2
1The Ohio State University Department of Mechanical Engineering, , 650 Ackerman Road, Columbus, OH 43202
2General Motors Powertrain Advanced Engineering, , 30240 Oak Creek Drive, Wixom, MI 48393

Tóm tắt

AbstractA computational model is proposed for the prediction of friction-related mechanical efficiency losses of parallel-axis gear pairs. The model incorporates a gear load distribution model, a friction model, and a mechanical efficiency formulation to predict the instantaneous mechanical efficiency of a gear pair under typical operating, surface, and lubrication conditions. The friction model uses a new friction coefficient formula obtained by using a validated non-Newtonian thermal elastohydrodynamic lubrication (EHL) model in conjunction with a multiple linear regression analysis. The load and friction coefficient distribution predictions are used to compute instantaneous torque/power losses and the mechanical efficiency of a gear pair at any given rotational position. Efficiency measurements from gear pairs having various gear designs and surface treatments are compared to model predictions. Mechanical efficiency predictions are shown to be within 0.1% of the measured values, indicating that the proposed efficiency model is accurate. Results of a parametric study are presented at the end to highlight the influence of key basic gear geometric parameters, tooth modifications, operating conditions, surface finish, and lubricant properties on mechanical efficiency losses.

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Tài liệu tham khảo

Reuleaux, Friction in Tooth Gearing, Trans. ASME, VIII, 45

Martin, A Review of Friction Predictions in Gear Teeth, Wear, 49, 201, 10.1016/0043-1648(78)90088-1

Yada, Review of Gear Efficiency Equation and Force Treatment, JSME Int. J., Ser. C, 40, 1, 10.1299/jsmec1993.40.1

Li, Y., and Seireg, A. A., “Predicting the Coefficient of Friction in Sliding-Rolling Contacts,” Tribology Conference, K18.

Denny, C. M. , 1998, “Mesh Friction in Gearing,” AGMA Fall Technical Meeting, 98FTM2.

Pedrero, J. I. , 1999, “Determination of the Efficiency of Cylindrical Gear Sets,” 4th World Congress on Gearing and Power Transmission, Paris, France.

Michlin, Determination of Power Losses in Gear Transmissions with Rolling and Sliding Friction Incorporated, Mech. Mach. Theory, 37, 167, 10.1016/S0094-114X(01)00070-2

Benedict, G. H., and Kelly, B. W., 1960, “Instantaneous Coefficients of Gear Tooth Friction,” Transactions of ASLE, ASLE Lubrication Conference, 57–70.

Kelley, Lubrication of Involute Gearing, Proc. Inst. Mech. Eng., 182, 173

ISO TC 60, DTR 13989.

O’Donoghue, Friction and Temperature in Rolling Sliding Contacts, ASLE Trans., 9, 186, 10.1080/05698196608972134

Drozdov, Y. N., and Gavrikov, Y. A., 1967, “Friction and Scoring Under the Conditions of Simultaneous Rolling and Sliding of Bodies,” Wear0043-1648, pp. 291–302.

Misharin, Influence of the Friction Condition on the Magnitude of the Friction Coefficient in the Case of Rollers With Sliding, 159

Ku, Frictional and Thermal Behaviors of Sliding Rolling Concentrated Contacts, ASME J. Lubr. Technol., 100, 121, 10.1115/1.3453101

Naruse, Studies on Frictional Loss, Temperature Rise and Limiting Load for Scoring of Spur Gear, Bull. JSME, 29, 600, 10.1299/jsme1958.29.600

Sasaki, Fundamental Research in Gears, Bull. JSME, 4, 382, 10.1299/jsme1958.4.382

Barnes, J. P. , 1997, “Non-dimensional Characterization of Gear Geometry, Mesh Loss and Windage,” AGMA 97FTM11.

Hohn, B. R., and Steingrover, K., 1998, “Local Coefficients of Friction in Worm Gear Contacts,” AGMA 98FTM10.

Heingartner, Determining Power Losses in The Helical Gear Mesh; Case Study, 10.1115/DETC2003/PTG-48118

Anderson, Efficiency of Nonstandard and High Contact Ratio Involute Spur Gears, ASME J. Mech., Transm., Autom. Des., 108, 119, 10.1115/1.3260774

Anderson, Design of Spur Gears for Improved Efficiency, ASME J. Mech. Des., 104, 767

Anderson, Effect of Geometry and Operating Conditions on Spur Gear System Power Loss, ASME J. Mech. Des., 103, 151

Vaishya, M., and Houser, D. R., 1999, “Modeling and Measurement of Sliding Friction for Gear Analysis,” AGMA 99FTMS1, Lakewood, CO.

Martin, The Efficiency of Involute Spur Gears, ASME J. Mech. Des., 103, 160

Dowson, A Theory of Involute Gear Lubrication, Proceeding of a Symposium Organized by the Mechanical Tests of Lubricants Panel of the Institute, 8

Simon, V. , 1981, “Load Capacity and Efficiency of Spur Ears in Regard to Thermo-End Lubrication,” International Symposium on Gearing and Power Transmissions, Tokyo, Japan.

Wu, A Friction Model of Partial-EHL Contacts and its Application to Power Loss in Spur Gears, Tribol. Trans., 34, 398, 10.1080/10402009108982050

Mihalidis, A., Bakolas, V., Panagiotidis, K., and Drivakos, N., 2002, “Prediction of the Friction Coefficient of Spur Gear Pairs,” VDI-Berichte, NR. 1665, pp. 705–719.

Akin, EHD Lubricant Film Thickness Formulae for Power Transmission Gears, ASME J. Lubr. Technol., 96, 426, 10.1115/1.3451989

Wellauer, Application of EHD Oil Film Theory to Industrial Gear Drives, ASME J. Eng. Ind., 98, 626, 10.1115/1.3438951

Chittenden, A Theoretical Analysis of The Isothermal Elastohydrodynamic Lubricant of Concentrated Contacts, Proc. R. Soc. London, Ser. A, 397, 271

Simon, Thermo-EHD Analysis of Lubrication of Helical Gears, ASME J. Mech. Des., 110, 330

Haizuka, Study of Influence of Helix Angle on Friction Characteristics of Helical Gears, Tribol. Trans., 42, 570, 10.1080/10402009908982256

Khonsari, Applied Tribology, Bearing Design and Lubrication, 10.1002/9781118700280

Conry, A Mathematical Programming Technique for the Evaluation of Load Distribution and Optimal Modifications for Gear Systems, ASME J. Eng. Ind., 95, 1115, 10.1115/1.3438259

LDP, Gear Load Distribution Program, 2003, Gear Dynamics and Gear Noise Research Laboratory, The Ohio State University, Columbus, Ohio, USA.

Dudley, Handbook of Practical Gear Design

Colbourne, The Geometry of Involute Gears

Litvin, Gear Geometry and Applied Theory, 10.1017/CBO9780511547126

Xu, H. , 2005, “Development of a Generalized Mechanical Efficiency Prediction Methodology for Gear Pairs,” Ph.D. Dissertation, Ohio State University, Columbus, Ohio.

Cioc, A Deterministic Elastohydrodynamic Lubrication Model of High-Speed Rotorcraft Transmission Components, Tribol. Trans., 45, 556, 10.1080/10402000208982587

Dowson, Elasto-hydrodynamic Lubrication, ed.

Chase, D. , 2005, “The Development of an Efficiency Test Methodology for High-Speed Gearbox,” MS thesis, The Ohio State University, Columbus, Ohio.

Johnson, Shear Behavior of Elastohydrodynamic Oil Films at High Rolling Contact Pressures, Proc. Inst. Mech. Eng., 182, 307