Analysis of singularity planar multi-linkage mechanism of fourth order
The planar multi-linkage mechanism of the fourth order, the output rocker of which implements an approximate stopping in one critical position is described in the article. The mechanism consists of three dyads passing through their limit positions in a single duty cycle. That is why the singular...
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Format: | Article |
Language: | English |
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Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2020-11-01
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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/2020/5%20(173)/17-21%20%D0%93%D0%B5%D0%B1%D0%B5%D0%BB%D1%8C%20%D0%95.%20%D0%A1..pdf |
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author | E. S. Gebel |
author_facet | E. S. Gebel |
author_sort | E. S. Gebel |
collection | DOAJ |
description | The planar multi-linkage mechanism of the fourth order, the
output rocker of which implements an approximate stopping in
one critical position is described in the article. The mechanism
consists of three dyads passing through their limit positions
in a single duty cycle. That is why the singularity problem is
relevant for such mechanisms and should be studied to avoid
jamming of links or the appearance of uncontrolled movements.
The mathematical model is based on the theory of screws and
contains the closed-loop equilibrium equations obtained for the
investigated mechanism. Based on the obtained results of the
geometry and singularity analyses, it is shown that there are eight
different positions in which some joints stop momentarily and
then their angular velocity direction changes. |
format | Article |
id | doaj-art-cd68ecf0b8bf47b99bb614fb712c3105 |
institution | Kabale University |
issn | 1813-8225 2541-7541 |
language | English |
publishDate | 2020-11-01 |
publisher | Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education |
record_format | Article |
series | Омский научный вестник |
spelling | doaj-art-cd68ecf0b8bf47b99bb614fb712c31052025-02-02T02:16:08ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412020-11-015 (173)172110.25206/1813-8225-2020-173-17-21Analysis of singularity planar multi-linkage mechanism of fourth orderE. S. Gebel0https://orcid.org/0000-0003-1811-8755Omsk State Technical UniversityThe planar multi-linkage mechanism of the fourth order, the output rocker of which implements an approximate stopping in one critical position is described in the article. The mechanism consists of three dyads passing through their limit positions in a single duty cycle. That is why the singularity problem is relevant for such mechanisms and should be studied to avoid jamming of links or the appearance of uncontrolled movements. The mathematical model is based on the theory of screws and contains the closed-loop equilibrium equations obtained for the investigated mechanism. Based on the obtained results of the geometry and singularity analyses, it is shown that there are eight different positions in which some joints stop momentarily and then their angular velocity direction changes.https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2020/5%20(173)/17-21%20%D0%93%D0%B5%D0%B1%D0%B5%D0%BB%D1%8C%20%D0%95.%20%D0%A1..pdfplanar multi-linkage mechanismsingularity positionsscrew theorygeometric analysisapproximate stoppingclosed loop |
spellingShingle | E. S. Gebel Analysis of singularity planar multi-linkage mechanism of fourth order Омский научный вестник planar multi-linkage mechanism singularity positions screw theory geometric analysis approximate stopping closed loop |
title | Analysis of singularity planar multi-linkage mechanism of fourth order |
title_full | Analysis of singularity planar multi-linkage mechanism of fourth order |
title_fullStr | Analysis of singularity planar multi-linkage mechanism of fourth order |
title_full_unstemmed | Analysis of singularity planar multi-linkage mechanism of fourth order |
title_short | Analysis of singularity planar multi-linkage mechanism of fourth order |
title_sort | analysis of singularity planar multi linkage mechanism of fourth order |
topic | planar multi-linkage mechanism singularity positions screw theory geometric analysis approximate stopping closed loop |
url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2020/5%20(173)/17-21%20%D0%93%D0%B5%D0%B1%D0%B5%D0%BB%D1%8C%20%D0%95.%20%D0%A1..pdf |
work_keys_str_mv | AT esgebel analysisofsingularityplanarmultilinkagemechanismoffourthorder |