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.
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January 2007
Research Papers
Inclusion of Sliding Friction in Contact Dynamics Model for Helical Gears
Song He,
Song He
Acoustics and Dynamics Laboratory, Department of Mechanical Engineering,
e-mail: he.81@osu.edu
The Ohio State University
, Columbus, OH 43210
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Rajendra Singh
Rajendra Singh
ASME Fellow
Acoustics and Dynamics Laboratory, Department of Mechanical Engineering and The Center for Automotive Research,
e-mail: singh.3@osu.edu
The Ohio State University
, Columbus, OH 43210
Search for other works by this author on:
Song He
Acoustics and Dynamics Laboratory, Department of Mechanical Engineering,
The Ohio State University
, Columbus, OH 43210e-mail: he.81@osu.edu
Rajendra Gunda
Rajendra Singh
ASME Fellow
Acoustics and Dynamics Laboratory, Department of Mechanical Engineering and The Center for Automotive Research,
The Ohio State University
, Columbus, OH 43210e-mail: singh.3@osu.edu
J. Mech. Des. Jan 2007, 129(1): 48-57 (10 pages)
Published Online: April 29, 2006
Article history
Received:
December 26, 2005
Revised:
April 29, 2006
Citation
He, S., Gunda, R., and Singh, R. (April 29, 2006). "Inclusion of Sliding Friction in Contact Dynamics Model for Helical Gears." ASME. J. Mech. Des. January 2007; 129(1): 48–57. https://doi.org/10.1115/1.2359474
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