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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2021-03-01
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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/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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| Summary: | 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. |
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| ISSN: | 1813-8225 2541-7541 |