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Research Papers

An Analytical Approach to Tooth Friction Losses in Spur and Helical Gears—Influence of Profile Modifications

[+] Author and Article Information
P. Velex1

LaMCoS, INSA Lyon, Université de Lyon, UMR CNRS 5259, Bâtiment Jean d’Alembert, 20 Avenue Albert Einstein, 69 621 Villeurbanne Cédex, Francephilippe.velex@insa-lyon.fr

F. Ville

LaMCoS, INSA Lyon, Université de Lyon, UMR CNRS 5259, Bâtiment Jean d’Alembert, 20 Avenue Albert Einstein, 69 621 Villeurbanne Cédex, France

1

Corresponding author.

J. Mech. Des 131(10), 101008 (Sep 16, 2009) (10 pages) doi:10.1115/1.3179156 History: Received December 23, 2008; Revised April 29, 2009; Published September 16, 2009

An original displacement-based formulation of tooth friction power losses in spur and helical gears is established, which can account for the influence of tooth profile modifications. Several analytical formulas are derived enabling friction losses to be easily estimated for a wide range of gears at the design stage. Numerous comparisons with both the classic formulas in the literature and the results of numerical simulations are presented, which confirm the accuracy of the proposed approach.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Meshing parameters and mesh elasticity model (for clarity, only one contact line is represented)

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Figure 2

Loss factor versus pitch point position—comparison with some classic formulas

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Figure 3

Comparison between the analytical formula 23, the Niemann–Winter formula 25, and numerical simulations. (a) Spur gear examples, (b) helical gear examples with β=15 deg, (c) helical gear examples with β=20 deg, and (d) helical gear examples with β=30 deg.

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Figure 4

Tooth modification diagram projected on the base plane (MAAG diagram)

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Figure 5

Truncated integration length

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Figure 6

Evolutions of the loss factor with the amplitude and extent of tooth profile modification (f=0.1). (a) Contour plots of Λ versus the normalized tip relief amplitude P and the normalized extent of modification Γ(κ0=0.3) and (b) contour plots of Λ versus the normalized tip relief amplitude P and the normalized extent of modification Γ(κ0=0.49).

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Figure 7

Relative deviations between the authors’ formulas 29,32 and the results of numerical simulations for a range of relief amplitudes and extents of modifications (f=0.1). (a) Relative deviations (in %) between numerical results and formulas 29,32(κ0=0.3). (b) Relative deviations (in %) between numerical results and formulas 29,32(κ0=0.49).

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Figure 8

Relative deviations (in %) between the analytical results 29,32 and the numerical simulations usingthe friction model of Diab (16)

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Figure 9

Base plane parameters

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