Mathematical modelling of an arch tooth surface as an envelope

Mathematical modelling of an arch tooth surface as an envelope

We consider a gear with parallel rotation axes of an input and output part (spur gear), the input part having so-called arch teeth. We found the equation of the surfaces family for the arch tooth, the envelope of which is the tooth surface of the output part. We obtained an analytical solution of th...

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Bibliographic Details
Published in:Applied mechanics and materials Vol. 756. P. 442-446
Main Author: Shcherbakov, N. R.
Corporate Authors: Томский государственный университет Механико-математический факультет Кафедра геометрии, Томский государственный университет НИИ прикладной математики и механики Научные подразделения НИИ ПММ
Other Authors: Bubenchikov, Alexey M., Kazakavitschyus, S. M.
Format: Article
Language:English
Subjects:
арочные зубья
математическое моделирование
семейства поверхностей
статьи в журналах
Online Access:http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000528713
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Description
Summary:We consider a gear with parallel rotation axes of an input and output part (spur gear), the input part having so-called arch teeth. We found the equation of the surfaces family for the arch tooth, the envelope of which is the tooth surface of the output part. We obtained an analytical solution of the equation that results from the condition of enveloping, which allowed to record parametric equations of the envelope determining the tooth surfaces of the output part.
ISSN:1660-9336

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