Steady motions of nonhomogeneous ellipsoid on horizontal plane
- DOI
- 10.2991/aime-17.2017.81How to use a DOI?
- Keywords
- stability; steady motions; viscous friction
- Abstract
The dynamics of a heavy nonhomogeneous ellipsoid of rotation on a horizontal fixed plane with friction is analysed. It is assumed that the mass centre of the spheroid coincides with its geometric center and that the geometric axis of symmetry is the axis of dynamic symmetry. The frictional force is proportional to the velocity of the point of contact with the plane; the frictional moment is equal to zero. The steady motions of the ellipsoid are investigated. The conditions of stability are obtained. The results are compared with the corresponding results in the case of an absolutely smooth and absolutely rough surface. The unsteady motions of the spheroid are investigated numerically. The similar results for the special case of homogeneous ellipsoid have been given earlier
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - M.A. Munitsyna AU - A.I. Munitsyn PY - 2017/07 DA - 2017/07 TI - Steady motions of nonhomogeneous ellipsoid on horizontal plane BT - Proceedings of the International Conference "Actual Issues of Mechanical Engineering" 2017 (AIME 2017) PB - Atlantis Press SP - 500 EP - 505 SN - 2352-5401 UR - https://doi.org/10.2991/aime-17.2017.81 DO - 10.2991/aime-17.2017.81 ID - Munitsyna2017/07 ER -