Peculiarities of Statics and Dynamics of the Heavy Ellipsoid on the Rough Inclined Plane-Reference-Cited by-同舟云学术

Peculiarities of Statics and Dynamics of the Heavy Ellipsoid on the Rough Inclined Plane

Published:2023-07-01 Issue:4 Volume:87 Page:557-570
ISSN:0032-8235
Container-title:Прикладная математика и механика
language:
Short-container-title:Prikladnaâ matematika i mehanika

Author:

Rozenblat G. M.¹

Affiliation:

1. Moscow Automobile and Road Construction State Technical University (MADI)

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.

Publisher

The Russian Academy of Sciences

Reference11 articles.

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