| Issue |
E3S Web of Conf.
Volume 365, 2023
IV International Scientific Conference “Construction Mechanics, Hydraulics and Water Resources Engineering” (CONMECHYDRO - 2022)
|
|
|---|---|---|
| Article Number | 04017 | |
| Number of page(s) | 12 | |
| Section | Mechanization, Electrification of Agriculture and Renewable Energy Sources | |
| DOI | https://doi.org/10.1051/e3sconf/202336504017 | |
| Published online | 30 January 2023 | |
Nonlinear dynamics of rotor of an auto-balancing ball device, considering eccentricity and changes in horizontal axes of rotation
1 “Tashkent Institute of Irrigation and Agricultural Mechanization Engineers”, National Research University, Tashkent, 100000, Uzbekistan
2 Institute of Mechanics and Seismic Stability of Structures of the Academy of Sciences of the Republic of Uzbekistan, 100125, Tashkent, Uzbekistan
3 Almalyk branch of the Moscow National Research Technological University (NITU), Tashkent, Uzbekistan
* Corresponding author: q.turajonov@gmail.com
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.
© The Authors, published by EDP Sciences, 2023
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