The assembly sequences modeling using graph incidence matrix

The article discusses the problem solution of computer aided determination of the precision axisymmetric products assembly sequence. The aim of this work is to consider the possibility of using a directed assembly graph, in particular, an adjacency matrix and an incidence matrix in the theoretic...

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Main Authors: I. A. Volkov, D. D. Primak, V. B. Masyagin, R. L. Artykh
Format: Article
Language:English
Published: Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education 2020-06-01
Series:Омский научный вестник
Subjects:
Online Access:https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2020/3%20(171)/26-31%20%D0%92%D0%BE%D0%BB%D0%BA%D0%BE%D0%B2%20%D0%98.%20%D0%90.,%20%D0%9F%D1%80%D0%B8%D0%BC%D0%B0%D0%BA%20%D0%94.%20%D0%94.,%20%D0%9C%D0%B0%D1%81%D1%8F%D0%B3%D0%B8%D0%BD%20%D0%92.%20%D0%91.,%20%D0%90%D1%80%D1%82%D1%8E%D1%85%20%D0%A0.%20%D0%9B..pdf
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author I. A. Volkov
D. D. Primak
V. B. Masyagin
R. L. Artykh
author_facet I. A. Volkov
D. D. Primak
V. B. Masyagin
R. L. Artykh
author_sort I. A. Volkov
collection DOAJ
description The article discusses the problem solution of computer aided determination of the precision axisymmetric products assembly sequence. The aim of this work is to consider the possibility of using a directed assembly graph, in particular, an adjacency matrix and an incidence matrix in the theoretical description of the construction and design of the assembly technology. This approach corresponds to solving the problem in mathematical form. The analysis of the features of mathematical modeling of the construction and the assembly process is performed. The method for constructing a graph that displays the relationships between parts and the assembly process is proposed. Implementation the task of automated formation the assembly process is performed using algorithms and a computer program based on the matrix representation of graphs. A comparative analysis of the results obtained theoretically and using computer in the framework of assembly processes design is performed. The obtained results makes it possible to quickly enter the necessary changes in assembly sequence, thereby possibility emerges of monitoring data and decisions when designing assembly processes.
format Article
id doaj-art-d264ace116784e8cbf9e7c4441061fdf
institution Kabale University
issn 1813-8225
2541-7541
language English
publishDate 2020-06-01
publisher Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
record_format Article
series Омский научный вестник
spelling doaj-art-d264ace116784e8cbf9e7c4441061fdf2025-02-02T13:04:53ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412020-06-013 (171)263110.25206/1813-8225-2020-171-26-31The assembly sequences modeling using graph incidence matrixI. A. Volkov0D. D. Primak1V. B. Masyagin2https://orcid.org/0000-0001-8649-5830 R. L. Artykh3Omsk State Technical UniversityOmsk State Technical UniversityOmsk State Technical UniversityOmsk State Technical UniversityThe article discusses the problem solution of computer aided determination of the precision axisymmetric products assembly sequence. The aim of this work is to consider the possibility of using a directed assembly graph, in particular, an adjacency matrix and an incidence matrix in the theoretical description of the construction and design of the assembly technology. This approach corresponds to solving the problem in mathematical form. The analysis of the features of mathematical modeling of the construction and the assembly process is performed. The method for constructing a graph that displays the relationships between parts and the assembly process is proposed. Implementation the task of automated formation the assembly process is performed using algorithms and a computer program based on the matrix representation of graphs. A comparative analysis of the results obtained theoretically and using computer in the framework of assembly processes design is performed. The obtained results makes it possible to quickly enter the necessary changes in assembly sequence, thereby possibility emerges of monitoring data and decisions when designing assembly processes.https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2020/3%20(171)/26-31%20%D0%92%D0%BE%D0%BB%D0%BA%D0%BE%D0%B2%20%D0%98.%20%D0%90.,%20%D0%9F%D1%80%D0%B8%D0%BC%D0%B0%D0%BA%20%D0%94.%20%D0%94.,%20%D0%9C%D0%B0%D1%81%D1%8F%D0%B3%D0%B8%D0%BD%20%D0%92.%20%D0%91.,%20%D0%90%D1%80%D1%82%D1%8E%D1%85%20%D0%A0.%20%D0%9B..pdfassembly simulationassembly unit graphgraph tree linksalgorithmadjacency matrixincidence matrix
spellingShingle I. A. Volkov
D. D. Primak
V. B. Masyagin
R. L. Artykh
The assembly sequences modeling using graph incidence matrix
Омский научный вестник
assembly simulation
assembly unit graph
graph tree links
algorithm
adjacency matrix
incidence matrix
title The assembly sequences modeling using graph incidence matrix
title_full The assembly sequences modeling using graph incidence matrix
title_fullStr The assembly sequences modeling using graph incidence matrix
title_full_unstemmed The assembly sequences modeling using graph incidence matrix
title_short The assembly sequences modeling using graph incidence matrix
title_sort assembly sequences modeling using graph incidence matrix
topic assembly simulation
assembly unit graph
graph tree links
algorithm
adjacency matrix
incidence matrix
url https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2020/3%20(171)/26-31%20%D0%92%D0%BE%D0%BB%D0%BA%D0%BE%D0%B2%20%D0%98.%20%D0%90.,%20%D0%9F%D1%80%D0%B8%D0%BC%D0%B0%D0%BA%20%D0%94.%20%D0%94.,%20%D0%9C%D0%B0%D1%81%D1%8F%D0%B3%D0%B8%D0%BD%20%D0%92.%20%D0%91.,%20%D0%90%D1%80%D1%82%D1%8E%D1%85%20%D0%A0.%20%D0%9B..pdf
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