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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| Format: | Article |
| Language: | English |
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Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2024-11-01
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| 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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| _version_ | 1832542980592893952 |
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| author | A. Kh. Shamutdinov I. Yu. Lesnyak |
| author_facet | A. Kh. Shamutdinov I. Yu. Lesnyak |
| author_sort | A. Kh. Shamutdinov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d4109d33129d46499f7c4c06b7548d1e |
| institution | Kabale University |
| issn | 1813-8225 2541-7541 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник |
| spelling | doaj-art-d4109d33129d46499f7c4c06b7548d1e2025-02-03T12:02:39ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412024-11-014 (192)354310.25206/1813-8225-2024-192-35-43Theoretical study of kinematic pairs «torus with torus» based on geometric kinematicsA. Kh. Shamutdinov0https://orcid.org/0000-0001-5896-7247I. Yu. Lesnyak1https://orcid.org/0000-0002-9481-5985Omsk Tank-Automotive Engineering InstituteOmsk State Technical UniversityThe 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.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..pdfkinematic pairrolling pairtorusmobilitymobility matrixslidingrollingspinning |
| spellingShingle | A. Kh. Shamutdinov I. Yu. Lesnyak Theoretical study of kinematic pairs «torus with torus» based on geometric kinematics Омский научный вестник kinematic pair rolling pair torus mobility mobility matrix sliding rolling spinning |
| title | Theoretical study of kinematic pairs «torus with torus» based on geometric kinematics |
| title_full | Theoretical study of kinematic pairs «torus with torus» based on geometric kinematics |
| title_fullStr | Theoretical study of kinematic pairs «torus with torus» based on geometric kinematics |
| title_full_unstemmed | Theoretical study of kinematic pairs «torus with torus» based on geometric kinematics |
| title_short | Theoretical study of kinematic pairs «torus with torus» based on geometric kinematics |
| title_sort | theoretical study of kinematic pairs torus with torus based on geometric kinematics |
| topic | kinematic pair rolling pair torus mobility mobility matrix sliding rolling spinning |
| url | 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 |
| work_keys_str_mv | AT akhshamutdinov theoreticalstudyofkinematicpairstoruswithtorusbasedongeometrickinematics AT iyulesnyak theoreticalstudyofkinematicpairstoruswithtorusbasedongeometrickinematics |