This paper proposes a new analytical model for helical gears that characterizes the contact plane dynamics and captures the velocity reversal at the pitch line due to sliding friction. First, the tooth stiffness density function along the contact lines is calculated by using a finite element code. Analytical formulations are then derived for the multidimensional mesh forces and moments. Contact zones for multiple tooth pairs in contact are identified, and the associated integration algorithms are derived. A new 12-degree-of-freedom, linear time-varying model with sliding friction is then developed. It includes rotational and translational motions along the line-of-action, off-line-of-action, and axial directions. The methodology is also illustrated by predicting time and frequency domain results for several values of the coefficient of friction.
Issue Section:
Research Papers
1.
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, and Singh
, R.
, 2003, “Strategies for Modeling Friction in Gear Dynamics
,” ASME J. Mech. Des.
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, pp. 383
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.2.
Vaishya
, M.
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, R.
, 2001, “Analysis of Periodically Varying Gear Mesh Systems With Coulomb Friction Using Floquet Theory
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.3.
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,” Proc. ASME 2000 DET Conf.
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.5.
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, and Sainsot
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.7.
He
, S.
, Gunda
, R.
, and Singh
, R.
, 2005, “Effect of Sliding Friction on the Dynamics of Spur Gear Pair With Realistic Time-Varying Stiffness
,” J. Sound Vib.
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, J.
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, R.
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, C.
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, R.
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, J
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, R.
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, C.
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,” Tech. Report submitted to the Army Research Office, Grant No. DAAD19-02-1-0334.19.
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, 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.
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, R.
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, C.
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, L.
, 2005, “Express Model for Load Sharing and Stress Analysis in Helical Gears
,” ASME J. Mech. Des.
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, M.
, de Vaujany
, J. P.
, and Icard
, Y.
, 2004, “Fast Three-Dimensional Quasi-Static Analysis of Helical Gears Using the Finite Prism Method
,” ASME J. Mech. Des.
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), pp. 1082
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, P.
, Gosselin
, C.
, and Cloutier
, L.
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,” ASME J. Mech. Des.
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), pp. 421
–426
.Copyright © 2007
by American Society of Mechanical Engineers
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