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Research Papers: Applications

A Helical Gear Pair Pocketing Power Loss Model

[+] Author and Article Information
David Talbot

Department of Mechanical
and Aerospace Engineering,
The Ohio State University,
Columbus, OH 43210
e-mail: talbot.11@osu.edu

Ahmet Kahraman, Satya Seetharaman

Department of Mechanical
and Aerospace Engineering,
The Ohio State University,
Columbus, OH 43210

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received August 3, 2013; final manuscript received January 8, 2014; published online February 24, 2014. Assoc. Editor: Xiaolan Ai.

J. Tribol 136(2), 021105 (Feb 24, 2014) (11 pages) Paper No: TRIB-13-1154; doi: 10.1115/1.4026502 History: Received August 03, 2013; Revised January 08, 2014

A new fluid dynamics model is proposed to predict the power losses due to pocketing of air, oil, or an air-oil mixture in the helical gear meshes. The proposed computational procedure treats a helical gear pair as a combination of a number of narrow face width spur gear segments staggered according to the helix angle and forms a discrete fluid dynamics model of the medium being pocketed in the gear mesh. Continuity and conservation of momentum equations are applied to each coupled control volume filled with a compressible fluid mixture to predict fluid pressure and velocity distributions from which the instantaneous pocketing power loss is calculated. The proposed model is exercised in order to investigate the fluid pressure and velocity distributions in time along with the pocketing power loss as a function of the speed, helix angle, and oil-to-air ratio.

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References

Petry-Johnson, T., Kahraman, A., Anderson, N. E., and Chase, D. R., 2008, “An Experimental Investigation of Spur Gear Efficiency,” ASME J. Mech. Des., 130, p. 062601. [CrossRef]
Yada, T., 1972, “The Measurement of Gear Mesh Friction Losses,” ASME Paper No. 72-PTG-35, pp. 8–12.
Naruse, C., Haizuka, S., Nemoto, R., and Kurokawa, K., 1986, “Studies on Frictional Loss, Temperature Rise and Limiting Load for Scoring of Spur Gear,” Bull. JSME, 29(248), pp. 600–608. [CrossRef]
Naruse, C., Haizuka, S., Nemoto, R., and Takahashi, H., 1991, “Influences of Tooth Profile on Frictional Loss and Scoring Strength in the Case of Spur Gears,” Proceedings of MPT’'91, JSME International Conference on Motion and Power Transmissions, Hiroshima, Japan.
Mizutani, H. and Isikawa, Y., 1996, “Power Loss of Long Addendum Spur Gears,” International Conference on Gears, Dresden, Germany, April 22–24,1996, VDI BERICHTE,1230, pp. 83–95.
Xu, H., Kahraman, A., Anderson, N. E., and Maddock, D., 2007, “Prediction of Mechanical Efficiency of Parallel-Axis Gear Pairs,” ASME J. Mech. Des., 129(1), pp. 58–68. [CrossRef]
Li, S. and Kahraman, A., 2010, “Prediction of Spur Gear Mechanical Power Losses Using a Transient Elastohydrodynamic Lubrication Model,” Tribol. Trans., 53, pp. 554–563. [CrossRef]
Li, S. and Kahraman, A., 2010, “A Transient Mixed Elastohydrodynamic Lubrication Model for Spur Gear Pairs,” ASME J. Tribol., 132(1), p. 011501. [CrossRef]
Li, S., Vaidyanathan, A., Harianto, J., and Kahraman, A., 2009, “Influence of Design Parameters on Mechanical Power Losses of Helical Gear Pairs,” JSME J. Adv. Mech. Des. Syst. Manuf., 3(2), pp. 146–158. [CrossRef]
Seetharaman, S. and Kahraman, A., 2009, “Load-Independent Power Losses of a Spur Gear Pair: Model Formulation,” ASME J. Tribol., 131(2), p. 022201 [CrossRef]
Changenet, C. and Velex, P., 2007, “A Model for the Prediction of Churning Losses in Geared Transmissions—Preliminary Results,” ASME J. Mech. Des., 129, pp. 128–133. [CrossRef]
Daily, J. and Nece, R., 1960, “Chamber Dimension Effects of Induced Flow and Frictional Resistance of Enclosed Rotating Disks,” ASME J. Basic Eng., 82, pp. 217–232. [CrossRef]
Mann, R. and Marston, C., 1961, “Friction Drag on Bladed Disks in Housings as a Function of Reynolds Number, Axial and Radial Clearance, and Blade Aspect Ratio and Solidity,” ASME J. Basic Eng., 83, pp. 719–723. [CrossRef]
Boness, R. J., 1989, “Churning Losses of Discs and Gear Running Partially Submerged in Oil,” Proceedings of the ASME International Power Transmission and Gearing Conference, Chicago, IL, pp. 355–359.
Luke, P. and Olver, A. V., 1999, “A Study of Churning Losses in Dip-Lubricated Spur Gears,” Proc. Inst. Mech. Eng., Part G, 213, pp. 337–346. [CrossRef]
Terekhov, A. S., 1991, “Basic Problems of Heat Calculation of Gear Reducers,” Proceedings of the JSME International Conference on Motion and Power Transmissions, pp. 490–495.
Ariura, Y., Ueno, T., and Sunaga, T., 1973, “The Lubricant Churning Loss in Spur Gear Systems,” Bull. JSME, 16, pp. 881–890. [CrossRef]
Akin, L. S. and Mross, J. J., 1975, “Theory for the Effect of Windage on the Lubricant Flow in the Tooth Spaces of Spur Gears,” ASME J. Eng. Ind., 97, pp. 1266–1273. [CrossRef]
Akin, L. S., Townsend, J. P., and Mross, J. J., 1975, “Study of Lubricant Jet Flow Phenomenon in Spur Gears,” ASME J. Lubr. Technol., 97, pp. 288–295. [CrossRef]
Dawson, P. H., 1984, “Windage Loss in Larger High-Speed Gears,” Proc. Inst. Mech. Eng., Part A, 198(1), p. 51–59. [CrossRef]
Diab, Y., Ville, F., and Velex, P., 2006, “Investigations on Power Losses in High Speed Gears,” Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 220, pp. 191–298. [CrossRef]
Wild, P. M., Dijlali, N., and Vickers, G. W., 1996, “Experimental and Computational Assessment of Windage Losses in Rotating Machinery,” ASME Trans. J. Fluids Eng., 118, pp. 116–122. [CrossRef]
Al-Shibl, K., Simmons, K., and Eastwick, C. N., 2007, “Modeling Gear Windage Power Loss From Enclosed Spur Gears,” Proc. Inst. Mech. Eng., Part A, 221(3), pp. 331–341. [CrossRef]
Eastwick, C. N. and Johnson, G., 2008, “Gear Windage: A Review,” ASME J. Mech. Des., 130(3), p. 034001. [CrossRef]
Pechersky, M. J. and Wittbrodt, M. J., 1989, “An Analysis of Fluid Flow Between Meshing Spur Gear Teeth,” Proceedings of the ASME Fifth International Power Transmission and Gearing Conference, Chicago, IL, pp. 335–342.
Houjoh, H., Ohshima, S., Miyata, S., Takimoto, T., and Maenami, K., 2000, “Dynamic Behavior of Atmosphere in a Tooth Space of a Spur Gear During Mesh Process From the Viewpoint of Efficient Lubrication,” Proceedings of the ASME, Design Engineering Technical Conference, Baltimore, MD, Paper No. PTG-14372.
Houjoh, H., Ohshima, S., Matsumura, S., Yumia, Y., and Itoh, K., 2003, “Pressure Measurement of Ambient Air in the Root Space of Helical Gears for the Purpose of Understanding Fluid Flow to Improve Lubrication Efficiency,” Proceedings of the ASME, Design Engineering Technical Conference, Chicago, IL, Paper No. PTG-48117.
Diab, Y., Ville, F., Houjoh, H., Sainsot, P., and Velex, P., 2005, “Experimental and Numerical Investigations on the Air-Pumping Phenomenon in High-Speed Spur and Helical Gears,” Proc. Inst. Mech. Eng., Part C, 219, pp. 785–800. [CrossRef]
Seetharaman, S. and Kahraman, A., 2010, “A Windage Power Loss Model for Spur Gear Pairs,” Tribol. Trans., 53(4), pp. 473–484. [CrossRef]
Seetharaman, S., Kahraman, A., Moorhead, M, and Petry-Johnson, T., 2009, “Oil Churning Power Losses of a Gear Pair: Experiments and Model Validation,” ASME J. Tribol., 131, p. 022202. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Transverse pocket geometry at different mesh positions

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Fig. 2

(a) Discretization of the helical gear interface into narrow gear slices, and (b) a discretized instantaneous helical gear pocket across the face width

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Fig. 3

(a) A coarse discretization of a transverse slice of the mesh pocket, and (b) a single quadrilateral for area analysis

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Fig. 4

An example variation of (a) the end area, (b) the backlash-side area, and (c) the contact-side area of the control volume j of a pocket i with the mesh position ϑ for β = 0

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Fig. 5

Multi-degree-of-freedom fluid dynamics model governing the helical gear pocketing problem

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Fig. 6

(a) Pressure, (b) end velocity, (c) contact-side velocity, and (d) backlash-side velocity time histories for the example spur gear pair (β = 0 deg) at Ω = 3000 rpm and ξ = 0.05

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Fig. 7

Side views of the spur gear pair of Fig. 6 at representative mesh positions. The pocket i of interest is marked with ⊗.

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Fig. 8

Pressure and exit velocity time histories of the example spur gear pair at Ω = 4000 rpm for (a) ξ = 0.01 and (b) ξ = 0.05

Grahic Jump Location
Fig. 9

End exit velocity time histories of gear pairs with helix angles of (a) β = 0 deg, (b) β = 5 deg, (c) β = 15 deg, and (d) β = 30 deg at Ω = 3000 rpm and ξ = 0.05

Grahic Jump Location
Fig. 10

Pressure time histories of gear pairs with helix angles of (a) β = 0 deg, (b) β = 5 deg, (c) β = 15 deg, and (d) β = 30 deg at Ω = 3000 rpm and ξ = 0.05

Grahic Jump Location
Fig. 11

End exit velocity distributions of gear pairs with helix angles of (a) β = 0 deg, (b) β = 5 deg, (c) β = 15 deg, and (d) β = 30 deg at Ω = 3000 rpm and ξ = 0.05

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Fig. 12

Variation of pocketing power loss with the (a) helix angle at ξ = 0.05, and (b) oil-to-air ratio at β = 30 deg

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