Nonlinear dynamics of rotor of an auto-balancing ball device, considering eccentricity and changes in horizontal axes of rotation
This study is devoted to the dynamics of an auto-balancing device (ABD) when the rotor rotates at critical angular speeds. In this article, a model of an auto-balancing device (ABD) is proposed. The rotor is not only eccentric about the symmetry axis but also has a horizontal axis of rotation. A mat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/02/e3sconf_conmechydro2023_04017.pdf |
| _version_ | 1797938467669278720 |
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| author | Mirsaidov M. Sidikov M.N. Turajonov K. M. |
| author_facet | Mirsaidov M. Sidikov M.N. Turajonov K. M. |
| author_sort | Mirsaidov M. |
| collection | DOAJ |
| description | This study is devoted to the dynamics of an auto-balancing device (ABD) when the rotor rotates at critical angular speeds. In this article, a model of an auto-balancing device (ABD) is proposed. The rotor is not only eccentric about the symmetry axis but also has a horizontal axis of rotation. A mathematical model is proposed based on the Lagrange equations; it describes the nonlinear motion of a balancing system (BS) with two running lines with a different number of balls, considering eccentricity, angular error, and changes in the horizontal axis of rotation. The nonlinear dynamics of the rotor motion with two running lines and two balls at a constant rotation speed and in the accelerating mode of the rotor motion is studied by a numerical method, taking into account the change in the horizontal axis of rotation. |
| first_indexed | 2024-04-10T19:00:04Z |
| format | Article |
| id | doaj.art-67391f8f36d94a89af20ae86d202dd8b |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-04-10T19:00:04Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-67391f8f36d94a89af20ae86d202dd8b2023-01-31T09:54:49ZengEDP SciencesE3S Web of Conferences2267-12422023-01-013650401710.1051/e3sconf/202336504017e3sconf_conmechydro2023_04017Nonlinear dynamics of rotor of an auto-balancing ball device, considering eccentricity and changes in horizontal axes of rotationMirsaidov M.0Sidikov M.N.1Turajonov K. M.2“Tashkent Institute of Irrigation and Agricultural Mechanization Engineers”, National Research UniversityAlmalyk branch of the Moscow National Research Technological University (NITU)“Tashkent Institute of Irrigation and Agricultural Mechanization Engineers”, National Research UniversityThis study is devoted to the dynamics of an auto-balancing device (ABD) when the rotor rotates at critical angular speeds. In this article, a model of an auto-balancing device (ABD) is proposed. The rotor is not only eccentric about the symmetry axis but also has a horizontal axis of rotation. A mathematical model is proposed based on the Lagrange equations; it describes the nonlinear motion of a balancing system (BS) with two running lines with a different number of balls, considering eccentricity, angular error, and changes in the horizontal axis of rotation. The nonlinear dynamics of the rotor motion with two running lines and two balls at a constant rotation speed and in the accelerating mode of the rotor motion is studied by a numerical method, taking into account the change in the horizontal axis of rotation.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/02/e3sconf_conmechydro2023_04017.pdf |
| spellingShingle | Mirsaidov M. Sidikov M.N. Turajonov K. M. Nonlinear dynamics of rotor of an auto-balancing ball device, considering eccentricity and changes in horizontal axes of rotation E3S Web of Conferences |
| title | Nonlinear dynamics of rotor of an auto-balancing ball device, considering eccentricity and changes in horizontal axes of rotation |
| title_full | Nonlinear dynamics of rotor of an auto-balancing ball device, considering eccentricity and changes in horizontal axes of rotation |
| title_fullStr | Nonlinear dynamics of rotor of an auto-balancing ball device, considering eccentricity and changes in horizontal axes of rotation |
| title_full_unstemmed | Nonlinear dynamics of rotor of an auto-balancing ball device, considering eccentricity and changes in horizontal axes of rotation |
| title_short | Nonlinear dynamics of rotor of an auto-balancing ball device, considering eccentricity and changes in horizontal axes of rotation |
| title_sort | nonlinear dynamics of rotor of an auto balancing ball device considering eccentricity and changes in horizontal axes of rotation |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/02/e3sconf_conmechydro2023_04017.pdf |
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