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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2012, Number 4(20), Pages 50–55
(Mi vtgu278)
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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
Geometrical simulation of the driving gear detail surface as an envelope
N. R. Shcherbakova, N. V. Zakharkinb a Tomsk State University
b CJSC "Technology Market", Tomsk
Abstract:
The mathematical model of the hipoid driving gear on the basis of ec-gearing is under consideration. Equations are obtained for the in-coming detail surface motion that generates a family of surfaces for which one can find an exact equation of the envelope, i.e., of the out-coming detail surface. It is proved that this way of obtaining an exact equation of the out-coming detail surface can be applied for any in-coming detail surface under the condition that the family belongs to the $C^2$ class.
Keywords:
hypoid gearing, ec-gearing, envelope of surfaces.
Received: 25.10.2012
Citation:
N. R. Shcherbakov, N. V. Zakharkin, “Geometrical simulation of the driving gear detail surface as an envelope”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 4(20), 50–55
Linking options:
https://www.mathnet.ru/eng/vtgu278 https://www.mathnet.ru/eng/vtgu/y2012/i4/p50
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Abstract page: | 235 | Full-text PDF : | 103 | References: | 39 | First page: | 1 |
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