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TECHNICAL PAPERS

Influence of Tooth Profile Modification on Helical Gear Durability

[+] Author and Article Information
Parag Wagaj, Ahmet Kahraman

Center for Gear Research, The University of Toledo, Nitschke Hall 4045, Toledo, OH 43606

J. Mech. Des 124(3), 501-510 (Aug 06, 2002) (10 pages) doi:10.1115/1.1485289 History: Received April 01, 2001; Online August 06, 2002
Copyright © 2002 by ASME
Topics: Gears , Durability , Stress , Torque
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References

Wagaj, P., and Kahraman, A., 2002, “Impact of Tooth Profile Modifications on Transmission Error Excitation of Helical Gear Pairs,” 6th Biennial Conference on Engineering Systems Design and Analysis, ESDA2002/DES-005.
Gregory,  R. W., Harris,  S. L., and Munro,  R. G., 1963, “Dynamic Behaviour of Spur Gears,” Proc. Inst. Mech. Eng., 178, pp. 207–225.
Kahraman,  A., and Singh,  R., 1990, “Nonlinear Dynamics of a Spur Gear Pair,” J. Sound Vib., 142, pp. 49–75.
Blankenship,  G. W., and Kahraman,  A., 1995, “Steady State Forced Response of a Mechanical Oscillator with Combined Parametric Excitation and Clearance Non-linearity,” J. Sound Vib., 185, pp. 743–765.
Kahraman,  A., and Blankenship,  G. W., 1999, “Effect of Involute Tip Relief on Dynamic Response of Spur Gear Pairs,” ASME J. Mech. Des., 121, pp. 313–315.
Umezawa,  K., Wang,  S., Houjoh,  H., and Matsumura,  S., 1998, “Dynamics of Gear Pairs with Bias Modifications,” JSME Transactions, pp. 1414–1420.
Saiki, K., and Watanabe, T., 2000, “Transmission Error Analysis of Helical Gears for Any Load Condition,” Proceedings of Eighth International Power Transmission and Gearing Conference, PTG-14421.
Umeyama,  M., Kato,  M., and Inoue,  K., 1998, “Effects of Gear Dimensions and Tooth Surface Modifications on the Loaded Transmission Error of a Helical Gear Pair,” ASME J. Mech. Des., 120, pp. 119–125.
Umezawa, K., 1999, “Low Vibration Design on a Helical Gear Pair,” AGMA Fall Annual Meeting. Cincinnati
Vijayakar,  S., 1991, “A Combined Surface Integral and Finite Element Solution for a Three-Dimensional Contact Problem,” Int. J. Numer. Methods Eng., 31, pp. 525–545.

Figures

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Definition of (a) 2D and (b) 3D tooth profile modification parameters
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Contact mechanics model of the example helical gear pair
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Maximum gear stresses over one mesh cycle; (a) maximum bending stress, σb,max and (b) maximum contact stress, σc,max
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Maximum bending stress, σb,max, and maximum contact stress, σc,max, of an unmodified gear pair as a function of torque transmitted T
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(a) Normalized bending stress σ̄b and (b) normalized contact stress σ̄c as a function of torque T and at with αt=22.2 deg. and h=2 μm
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Maximum contact stress distribution on a tooth flank at T=150 Nm; (a) at=0 and (b) at=10 μm
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(a) Normalized bending stress σ̄b and (b) normalized contact stress σ̄c as a function of T and αt with at=10 μm and h=2 μm
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(a) Normalized bending stress σ̄b and (b) normalized contact stress σ̄c as a function of T and h with at=10 μm and αt=22.2 deg
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(a) Normalized bending stress σ̄b and (b) normalized contact stress σ̄c as a function of T and b1 with β1=15 deg. and λ1=20 mm
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(a) Normalized bending stress σ̄b and (b) normalized contact stress σ̄c as a function of T and β1 with b1=5 μm and λ1=20 mm
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(a) Normalized bending stress σ̄b and (b) normalized contact stress σ̄c as a function of T and b2 with b1=10 μm,β12=20.8 deg. and λ12=10 mm

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