Formation by branches of envelope to parametric families of surfaces and curves
| Autor: | Daniele Vecchiato, Alberto Demenego, Faydor L. Litvin |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Surface (mathematics)
Engineering Worm drive Engineering drawing business.product_category business.industry Mechanical Engineering Computational Mechanics General Physics and Astronomy Geometry Computer Science Applications Planar Mechanics of Materials Cycloid Astrophysics::Solar and Stellar Astrophysics business Envelope (waves) Parametric statistics |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering. 190:4587-4608 |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/s0045-7825(00)00334-0 |
| Popis: | The existence of envelope to family of surfaces (curves in planar gearing) is usually discussed as existence of envelope formed by one branch of a regular surface (curve in planar gearing). The authors consider cases of formation of envelopes formed by several branches. Existence of such envelopes is represented for the cases of cycloidal pumps and conventional worm gear drives. The formation of envelope by several branches is represented analytically, rules for discovery of different envelope branches are proposed, and the existence of branches is illustrated graphically. The obtained results are important for computerized design of generation of surfaces and curves and enable to separate real and false branches of envelope. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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