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

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1992
Accession Number
ADA257176

Entities

People

  • C. Kuan
  • F. L. Litvin
  • J. C. Wang
  • J. Masseth
  • N. Maruyama
  • R. F. Handschuh

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Army Aviation
  • Cartesian Coordinates
  • Coordinate Systems
  • Corporations
  • Diameters
  • Equations
  • Gears
  • Grids
  • Heat Treatment
  • Illinois
  • Machine Tools
  • Machines
  • Manufacturing
  • Measurement
  • Orientation (Direction)
  • Relative Motion

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Regression Analysis.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).