Theoretical study of kinematic pairs «torus with torus» based on geometric kinematics

The article presents a theoretical study of kinematic pairs known as «rolling pairs» used in many areas of mechanical engineering, in particular, mechanisms. The research concerns such bodies (links) as geometric tori, which are well-known bodies of rotation. From the geometric kinematics, new re...

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Bibliographic Details
Main Authors: A. Kh. Shamutdinov, I. Yu. Lesnyak
Format: Article
Language:English
Published: Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education 2024-11-01
Series:Омский научный вестник
Subjects:
Online Access:https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2024/%E2%84%964%20(192)%20(%D0%9E%D0%9D%D0%92)/35-43%20%D0%A8%D0%B0%D0%BC%D1%83%D1%82%D0%B4%D0%B8%D0%BD%D0%BE%D0%B2%20%D0%90.%20%D0%A5.,%20%D0%9B%D0%B5%D1%81%D0%BD%D1%8F%D0%BA%20%D0%98.%20%D0%AE..pdf
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Summary:The article presents a theoretical study of kinematic pairs known as «rolling pairs» used in many areas of mechanical engineering, in particular, mechanisms. The research concerns such bodies (links) as geometric tori, which are well-known bodies of rotation. From the geometric kinematics, new representations of the mechanical motions of a torus in a «torus-torus» connection are described without the reasons that cause this motion. Two options for connecting two tori are analyzed: the axes of the tori are parallel and perpendicular. By analogy, the analysis of kinematic pairs of this type expands the elements of kinematic pairs theory and allows developing their new variants in many mechanisms used in various fields of mechanical engineering.
ISSN:1813-8225
2541-7541