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Computerized determination of singularities and envelopes to families of contact lines on gear tooth surfaces

✍ Scribed by F.L. Litvin; A.M. Egelja; M. De Donno

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 790 KB
Volume: 158
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(97)00219-3

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✦ Synopsis

A family of tooth surfaces _Y+ represented in parametric form is considered. The contents of the paper covers determination of envelope _& to family ,Z+, singularities on 4 and sufficient conditions of existence of envelopes E, and E, to characteristics on generating and generated tooth surfaces H, and &. Necessary condition of coincidence of E, with the edge of regression on ,X2 is provided.

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Computerized determination of gear tooth

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

✍ F.L. Litvin; I.H. Seol 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 857 KB

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) Devi