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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Main Author: E. S. Gebel
Format: Article
Language:English
Published: Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education 2020-11-01
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.
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publishDate 2020-11-01
publisher Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
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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
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