Minimization of Deviations of Gear Real Tooth Surfaces Determined by Coordinate Measurements

[+] Author and Article Information
F. L. Litvin, C. Kuan, J. C. Wang

Dept. of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL 60680

R. F. Handschuh

NASA Lewis Research Center, Cleveland, OH 44135

J. Masseth

The Dana Corporation, Fort Wayne, IN 46801

N. Maruyama

Nissan Motor Co., Yokosuka, Kanajava 237 Japan

J. Mech. Des 115(4), 995-1001 (Dec 01, 1993) (7 pages) doi:10.1115/1.2919298 History: Received July 01, 1992; Online June 02, 2008


The deviations of a gear’s real tooth surface from the theoretical surface are determined by coordinate measurements at the grid of the surface. A method has been developed to transform the deviations from Cartesian coordinates to those along the normal at the measurement locations. Equations are derived that relate the first order deviations with the adjustment to the manufacturing machine tool settings. The deviations of the entire surface are minimized. The minimization is achieved by application of the least-square method for an overdetermined system of linear equations. The proposed method is illustrated with a numerical example for hypoid gear and pinion.

Copyright © 1993 by The American Society of Mechanical Engineers
Topics: Measurement , Gears
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