Determining the locations and orientation of potential instantaneous contact lines between two contacting tooth surfaces of gears is one major step in the prediction of unloaded and loaded gear tooth contacts. This study defines and utilizes new general concept based on the construction of a surface of roll angle to simplify the task of locating instantaneous contact lines of any type of gearing. The position and normal vectors of points on one of the mating surfaces and axes of both gears are used in conjunction with the equation of meshing to define the surface of action and the surface of roll angle. With the surface of roll angle defined, instantaneous contact lines are determined by a novel approach based on an analogy to parallel-axes gears. At the end, the proposed method is applied to various parallel- and cross-axis gear pairs to demonstrate its effectiveness.
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e-mail: kolivand.1@osu.edu
e-mail: kahraman.1@osu.edu
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January 2011
Technical Briefs
A General Approach to Locate Instantaneous Contact Lines of Gears Using Surface of Roll Angle
M. Kolivand,
M. Kolivand
Department of Mechanical Engineering,
e-mail: kolivand.1@osu.edu
Ohio State University
, 201 West 19th Avenue, Columbus, OH 43210
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A. Kahraman
A. Kahraman
Department of Mechanical Engineering,
e-mail: kahraman.1@osu.edu
Ohio State University
, 201 West 19th Avenue, Columbus, OH 43210
Search for other works by this author on:
M. Kolivand
Department of Mechanical Engineering,
Ohio State University
, 201 West 19th Avenue, Columbus, OH 43210e-mail: kolivand.1@osu.edu
A. Kahraman
Department of Mechanical Engineering,
Ohio State University
, 201 West 19th Avenue, Columbus, OH 43210e-mail: kahraman.1@osu.edu
J. Mech. Des. Jan 2011, 133(1): 014503 (6 pages)
Published Online: January 10, 2011
Article history
Received:
May 2, 2010
Revised:
November 10, 2010
Online:
January 10, 2011
Published:
January 10, 2011
Citation
Kolivand, M., and Kahraman, A. (January 10, 2011). "A General Approach to Locate Instantaneous Contact Lines of Gears Using Surface of Roll Angle." ASME. J. Mech. Des. January 2011; 133(1): 014503. https://doi.org/10.1115/1.4003142
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