Analytical model of skip motion taking into account influence of head and balancing ropes
The article describes an analytical model of mine skip dynamics taking into account the presence of the head and balancing ropes and the existing curvilinearity of the guides. Expressions for the forces acting on the skip from the side of the guides have been constructed. It is shown, that the frequ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Belarusian |
| Published: |
Belarusian State University
2021-08-01
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| Series: | Журнал Белорусского государственного университета: Математика, информатика |
| Subjects: | |
| Online Access: | https://journals.bsu.by/index.php/mathematics/article/view/3814 |
| _version_ | 1828942859329339392 |
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| author | Mikhail A. Zhuravkov Vladimir P. Savchuk Michael A. Nikolaitchik |
| author_facet | Mikhail A. Zhuravkov Vladimir P. Savchuk Michael A. Nikolaitchik |
| author_sort | Mikhail A. Zhuravkov |
| collection | DOAJ |
| description | The article describes an analytical model of mine skip dynamics taking into account the presence of the head and balancing ropes and the existing curvilinearity of the guides. Expressions for the forces acting on the skip from the side of the guides have been constructed. It is shown, that the frequencies of natural vibrations of skip depend on the vertical acceleration and the distance traveled during its lifting. A graph (diagram) of skips vertical speed which observance does not lead to the appearance of skips vertical vibrations due to elasticity of the ropes is developed. An algorithm for finding the forces principal vector and the forces principal moment acting on the skip based on the reading of three accelerometers recording horizontal accelerations of skip during its movement is presented. |
| first_indexed | 2024-12-14T04:03:08Z |
| format | Article |
| id | doaj.art-d35f23dc295d458aa33134cb69d6cfb4 |
| institution | Directory Open Access Journal |
| issn | 2520-6508 2617-3956 |
| language | Belarusian |
| last_indexed | 2024-12-14T04:03:08Z |
| publishDate | 2021-08-01 |
| publisher | Belarusian State University |
| record_format | Article |
| series | Журнал Белорусского государственного университета: Математика, информатика |
| spelling | doaj.art-d35f23dc295d458aa33134cb69d6cfb42022-12-21T23:17:53ZbelBelarusian State UniversityЖурнал Белорусского государственного университета: Математика, информатика2520-65082617-39562021-08-01210511310.33581/2520-6508-2021-2-105-1133814Analytical model of skip motion taking into account influence of head and balancing ropesMikhail A. Zhuravkov0https://orcid.org/0000-0002-7420-5821Vladimir P. Savchuk1Michael A. Nikolaitchik2Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, BelarusBelarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, BelarusBelarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, BelarusThe article describes an analytical model of mine skip dynamics taking into account the presence of the head and balancing ropes and the existing curvilinearity of the guides. Expressions for the forces acting on the skip from the side of the guides have been constructed. It is shown, that the frequencies of natural vibrations of skip depend on the vertical acceleration and the distance traveled during its lifting. A graph (diagram) of skips vertical speed which observance does not lead to the appearance of skips vertical vibrations due to elasticity of the ropes is developed. An algorithm for finding the forces principal vector and the forces principal moment acting on the skip based on the reading of three accelerometers recording horizontal accelerations of skip during its movement is presented.https://journals.bsu.by/index.php/mathematics/article/view/3814skipguidesmine skip dynamicsvertical vibrationsforces principal vectorforces principal momenthorizontal accelerations |
| spellingShingle | Mikhail A. Zhuravkov Vladimir P. Savchuk Michael A. Nikolaitchik Analytical model of skip motion taking into account influence of head and balancing ropes Журнал Белорусского государственного университета: Математика, информатика skip guides mine skip dynamics vertical vibrations forces principal vector forces principal moment horizontal accelerations |
| title | Analytical model of skip motion taking into account influence of head and balancing ropes |
| title_full | Analytical model of skip motion taking into account influence of head and balancing ropes |
| title_fullStr | Analytical model of skip motion taking into account influence of head and balancing ropes |
| title_full_unstemmed | Analytical model of skip motion taking into account influence of head and balancing ropes |
| title_short | Analytical model of skip motion taking into account influence of head and balancing ropes |
| title_sort | analytical model of skip motion taking into account influence of head and balancing ropes |
| topic | skip guides mine skip dynamics vertical vibrations forces principal vector forces principal moment horizontal accelerations |
| url | https://journals.bsu.by/index.php/mathematics/article/view/3814 |
| work_keys_str_mv | AT mikhailazhuravkov analyticalmodelofskipmotiontakingintoaccountinfluenceofheadandbalancingropes AT vladimirpsavchuk analyticalmodelofskipmotiontakingintoaccountinfluenceofheadandbalancingropes AT michaelanikolaitchik analyticalmodelofskipmotiontakingintoaccountinfluenceofheadandbalancingropes |