A Basis for Solid Modeling of Gear Teeth with Application in Design and Manufacture

Abstract

This paper discusses a new approach to modeling gear tooth surfaces. A computer graphics solid modeling procedure is used to simulate the tooth fabrication processes. This procedure is based on the principles of differential geometry that pertain to envelopes of curves and surfaces. The procedure is illustrated with the modeling of spur, helical, bevel, spiral bevel, and hypoid gear teeth. Applications in design and manufacturing are discussed. Extensions to nonstandard tooth forms, to cams, and to rolling element bearings are proposed.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1992
Accession Number
ADA250302

Entities

People

  • Dimitrios Mavriplis
  • Fred B. Oswald
  • Ronald L. Hutson
  • Yung S. Liu

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Army Aviation
  • Computer Graphics
  • Computers
  • Coordinate Systems
  • Cutting Tools
  • Demographic Cohorts
  • Differential Geometry
  • Equations
  • Fabrication
  • Families (Human)
  • Gear Teeth
  • Gears
  • Geometry
  • Graphics
  • Manufacturing
  • Simulations
  • Spiral Bevel Gears

Readers

  • Computational Modeling and Simulation
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).