Email this article Peculiarities of Statics and Dynamics of the Heavy Ellipsoid on the Rough Inclined Plane
- Authors: Rozenblat G.M.1
-
Affiliations:
- Moscow Automobile and Road Construction State Technical University (MADI)
- Issue: Vol 87, No 4 (2023)
- Pages: 557-570
- Section: Articles
- URL: https://cardiosomatics.ru/0032-8235/article/view/675108
- DOI: https://doi.org/10.31857/S0032823523040124
- EDN: https://elibrary.ru/ZXRDBV
- ID: 675108
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Abstract
The problems of equilibria and steady rotations of the heavy body-ellipsoid on the rough inclined plane are considered in this paper. The body makes point contact with this plane without slippage (nonholonomic constraint). All positions of equilibria of the ellipsoid are found. In this paper is shown that all these positions are not stable in the spatial case when perturbations of the body can occur with spinning. Besides, as is shown in this paper, steady rotations of the heavy body-ellipsoid on the rough inclined plane cannot be realized.
About the authors
G. M. Rozenblat
Moscow Automobile and Road Construction State Technical University (MADI)
Author for correspondence.
Email: gr51@mail.ru
Russia, Moscow
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