Theoretical study of kinematic pairs «torus with torus» based on geometric kinematics
https://doi.org/10.25206/1813-8225-2024-192-35-43
EDN: ARSNMN
Abstract
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.
About the Authors
A. Kh. Shamutdinov
Omsk Tank-Automotive Engineering Institute
Russian Federation
Russian Federation
SHAMUTDINOV Aydar Kharisovich, Candidate of Technical Sciences, Professor of RAE (Russian Academy of Natural Sciences), Associate Professor of Technical Mechanics Department
Omsk
AuthorID (RSCI): 688427
ResearcherID: HLH-7822-2023
I. Yu. Lesnyak
Omsk State Technical University
Russian Federation
Russian Federation
LESNYAK Ivan Yuryevich, Candidate of Technical Sciences, Head, Associate Professor of Machine Engineering Technology Department
Omsk
ResearcherID: E-6397-2014
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Review
For citations:
Shamutdinov A.Kh., Lesnyak I.Yu. Theoretical study of kinematic pairs «torus with torus» based on geometric kinematics. Omsk Scientific Bulletin. 2024;(4):35-43. (In Russ.) https://doi.org/10.25206/1813-8225-2024-192-35-43. EDN: ARSNMN
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