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Computerized determination of gear tooth surface as envelope to two parameter family of surfaces

✍ Scribed by F.L. Litvin; I.H. Seol

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 857 KB
Volume: 138
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(96)01064-x

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✦ Synopsis

The contents of this paper covers: (1) Necessary and sufficient conditions of the envelope to a two-parameter family of surfaces.

(2) Applications to the generation of the gear tooth surface by a tool surface.

(3) Avoidance of singularities and undercutting of the generated tooth surface. (4) Deviations of the real gear tooth surface from the envelope to the family of two-parameter family of tool surfaces. The developed theory is applied and illustrated for the case of generation of a helical gear by a grinding involute worm that is performing motion with two independent parameters.

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