Accession Number : ADA257176
Title : Minimization of Deviations of Gear Real Tooth Surfaces Determined by Coordinate Measurements
Descriptive Note : Technical memo.
Corporate Author : NATIONAL AERONAUTICS AND SPACE ADMINISTRATION CLEVELAND OH LEWIS RESEARCH CENTER
Personal Author(s) : Litvin, F L ; Kuan, C ; Wang, J C ; Handschuh, R F ; Masseth, J ; Maruyama, N
Report Date : Sep 1992
Pagination or Media Count : 10
Abstract : The deviations of a gear'S real tooth surface from tile 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 deviation. 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.
Descriptors : *GEAR TEETH , MEASUREMENT , MANUFACTURING , MACHINE TOOLS , GRIDS , SURFACES , CARTESIAN COORDINATES , COORDINATES , MACHINES , EQUATIONS , GEARS , TILES
Subject Categories : Machinery and Tools
Distribution Statement : APPROVED FOR PUBLIC RELEASE