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J. Jellett (2008)
A Treatise on the Theory of Friction
A P Ivanov, AV Sakharov (2012)
Dynamics of Rigid Body, Carrying Moving Masses and Rotor, on a Rough PlaneNelin. Dinam., 8
A. Ivanov, A. Sakharov (2012)
Dynamics of rigid body, carrying moving masses and rotor, on a rough planeNonlinear Dynamics, 8
F. Chernous’ko (2006)
Analysis and optimization of the motion of a body controlled by means of a movable internal massJournal of Applied Mathematics and Mechanics, 70
F. Chernousko, N. Bolotnik, T. Figurina (2013)
Optimal control of vibrationally excited locomotion systemsRegular and Chaotic Dynamics, 18
A. Ivanov (2014)
On the impulsive dynamics of M-blocksRegular and Chaotic Dynamics, 19
LYu Volkova, S F Jatsun (2011)
Control of the Three-Mass Robot Moving in the Liquid EnvironmentNelin. Dinam., 7
A. Ivanov (2009)
A dynamically consistent model of the contact stresses in the plane motion of a rigid bodyJournal of Applied Mathematics and Mechanics, 73
Y. Karavaev, A. Kilin (2015)
The dynamics and control of a spherical robot with an internal omniwheel platformRegular and Chaotic Dynamics, 20
I. Bizyaev, A. Borisov, I. Mamaev (2014)
The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body insideRegular and Chaotic Dynamics, 19
F. Chernous’ko (2008)
The optimal periodic motions of a two-mass system in a resistant mediumJournal of Applied Mathematics and Mechanics, 72
N. Bolotnik, T. Figurina, F. Chernousko (2012)
Optimal control of the rectilinear motion of a two-body system in a resistive mediumJournal of Applied Mathematics and Mechanics, 76
H. Fang, J. Xu (2011)
Dynamic Analysis and Optimization of a Three-phase Control Mode of a Mobile System with an Internal MassJournal of Vibration and Control, 17
A. Sakharov (2015)
Rotation of a body with two movable internal masses on a rough planeJournal of Applied Mathematics and Mechanics, 79
L. Vorochaeva, S. Jatsun (2011)
Control of the three-mass robot moving in the liquid environmentNonlinear Dynamics, 7
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.
Regular and Chaotic Dynamics – Springer Journals
Published: Aug 5, 2015
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