The mathematical model of engagement and analytical description of tooth profile of waveform edge kinematic reducer
The problem of creating a waveform edge kinematical reducer with multi-pair gearing brings to the fore a range of issues in the field of geometric-kinematic gearing theory, which are considered in this work. The synthesis of multi-pair gearing for a waveform edge kinematical reducer, which ensu...
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| Format: | Article |
| Language: | English |
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Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2021-03-01
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| Series: | Омский научный вестник |
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| Online Access: | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2021/%20%E2%84%96%201%20(175)%20(%D0%9E%D0%9D%D0%92)/22-31%20%D0%94%D0%B6%D0%B0%D1%81%D0%B5%D0%BC%20%D0%9C.%20%D0%90.,%20%D0%9A%D1%80%D0%B0%D1%83%D0%B8%D0%BD%D1%8B%D1%88%20%D0%9F.%20%D0%AF..pdf |
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| author | M. A. Jasem P. Y. Krauinsh |
| author_facet | M. A. Jasem P. Y. Krauinsh |
| author_sort | M. A. Jasem |
| collection | DOAJ |
| description | The problem of creating a waveform edge kinematical
reducer with multi-pair gearing brings to the fore a range
of issues in the field of geometric-kinematic gearing
theory, which are considered in this work. The synthesis
of multi-pair gearing for a waveform edge kinematical
reducer, which ensures the constancy of their transfer
function, provides for: development of a mathematical
model of gearing taking into account the peculiarities of
the interaction of teeth during special-spherical motion;
description of the profile of the teeth by a system of
equations for a spherical surface and for a normal section
of teeth for internal gearing; identification with the help of
the MathCAD 2010 Professional program of a mathematical
experiment and determination of the area of existence of
100 % multi-pair mating of teeth by comparing the shape
of their profile with the nature of the analytical function of
multi-pair engagement. |
| format | Article |
| id | doaj-art-dbdb49b73dd94473badd8351fb1bbf63 |
| institution | Kabale University |
| issn | 1813-8225 2541-7541 |
| language | English |
| publishDate | 2021-03-01 |
| publisher | Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник |
| spelling | doaj-art-dbdb49b73dd94473badd8351fb1bbf632025-02-02T01:27:55ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412021-03-011 (175)223110.25206/1813-8225-2021-175-22-31The mathematical model of engagement and analytical description of tooth profile of waveform edge kinematic reducerM. A. Jasem0https://orcid.org/0000-0001-7006-6257P. Y. Krauinsh1Tomsk Polytechnic University; Al-Furat UniversityTomsk Polytechnic UniversityThe problem of creating a waveform edge kinematical reducer with multi-pair gearing brings to the fore a range of issues in the field of geometric-kinematic gearing theory, which are considered in this work. The synthesis of multi-pair gearing for a waveform edge kinematical reducer, which ensures the constancy of their transfer function, provides for: development of a mathematical model of gearing taking into account the peculiarities of the interaction of teeth during special-spherical motion; description of the profile of the teeth by a system of equations for a spherical surface and for a normal section of teeth for internal gearing; identification with the help of the MathCAD 2010 Professional program of a mathematical experiment and determination of the area of existence of 100 % multi-pair mating of teeth by comparing the shape of their profile with the nature of the analytical function of multi-pair engagement.https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2021/%20%E2%84%96%201%20(175)%20(%D0%9E%D0%9D%D0%92)/22-31%20%D0%94%D0%B6%D0%B0%D1%81%D0%B5%D0%BC%20%D0%9C.%20%D0%90.,%20%D0%9A%D1%80%D0%B0%D1%83%D0%B8%D0%BD%D1%8B%D1%88%20%D0%9F.%20%D0%AF..pdfmulti-pair gearingspace-spherical motionwaveform edge kinematical reducertooth profilegear ratio |
| spellingShingle | M. A. Jasem P. Y. Krauinsh The mathematical model of engagement and analytical description of tooth profile of waveform edge kinematic reducer Омский научный вестник multi-pair gearing space-spherical motion waveform edge kinematical reducer tooth profile gear ratio |
| title | The mathematical model of engagement and analytical description of tooth profile of waveform edge kinematic reducer |
| title_full | The mathematical model of engagement and analytical description of tooth profile of waveform edge kinematic reducer |
| title_fullStr | The mathematical model of engagement and analytical description of tooth profile of waveform edge kinematic reducer |
| title_full_unstemmed | The mathematical model of engagement and analytical description of tooth profile of waveform edge kinematic reducer |
| title_short | The mathematical model of engagement and analytical description of tooth profile of waveform edge kinematic reducer |
| title_sort | mathematical model of engagement and analytical description of tooth profile of waveform edge kinematic reducer |
| topic | multi-pair gearing space-spherical motion waveform edge kinematical reducer tooth profile gear ratio |
| url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2021/%20%E2%84%96%201%20(175)%20(%D0%9E%D0%9D%D0%92)/22-31%20%D0%94%D0%B6%D0%B0%D1%81%D0%B5%D0%BC%20%D0%9C.%20%D0%90.,%20%D0%9A%D1%80%D0%B0%D1%83%D0%B8%D0%BD%D1%8B%D1%88%20%D0%9F.%20%D0%AF..pdf |
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