RUS  ENG
Full version
JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2015 Volume 20, Issue 4, Pages 428–440 (Mi rcd23)

This article is cited in 9 papers

Rotation of the Body with Movable Internal Masses Around the Center of Mass on a Rough Plane

Alexander V. Sakharov

Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudny, 141700, Russia

Abstract: We consider the motion of a system consisting of a rigid body and internal movable masses on a rough surface. The possibility of rotation of the system around its center of mass due to the motion of internal movable masses is investigated. To describe the friction between the body and the reference surface, a local Amontons – Coulomb law is selected. To determine the normal stress distribution in the contact area between the body and the surface, a linear dynamically consistent model is used. As examples we consider two configurations of internal masses: a hard horizontal disk and two material points, which move parallel to the longitudinal axis of the body symmetry in the opposite way. Motions of the system are analyzed for selected configurations.

Keywords: dry friction, combined friction, normal stresses, multibody system, movable masses, slider.

MSC: 70E18, 70E55, 70E60

Received: 06.03.2015

Language: English

DOI: 10.1134/S1560354715040024



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026