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

This article is cited in 5 scientific papers (total in 5 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

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-00432
Ministry of Education and Science of the Russian Federation 2014/120
This work was supported by the basic part of the state assignment in the field of scientific activity No. 2014/120 “Investigation of the regularities in the dynamics of systems with friction and the development of mobile robots without external drivers” (research No. 2583) and the Russian Foundation for Basic Research (No. 14-01-00432).


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MSC: 70E18, 70E55, 70E60
Received: 06.03.2015

Citation: Alexander V. Sakharov, “Rotation of the Body with Movable Internal Masses Around the Center of Mass on a Rough Plane”, Regul. Chaotic Dyn., 20:4 (2015), 428–440

Citation in format AMSBIB
\by Alexander V. Sakharov
\paper Rotation of the Body with Movable Internal Masses Around the Center of Mass on a Rough Plane
\jour Regul. Chaotic Dyn.
\yr 2015
\vol 20
\issue 4
\pages 428--440

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    This publication is cited in the following articles:
    1. E. V. Vetchanin, A. A. Kilin, “Controlled motion of a rigid body with internal mechanisms in an ideal incompressible fluid”, Proc. Steklov Inst. Math., 295 (2016), 302–332  mathnet  crossref  crossref  mathscinet  isi  elib
    2. A. P. Ivanov, N. N. Erdakova, “On a mechanical lens”, Int. J. Non-Linear Mech., 79 (2016), 115–121  crossref  isi  scopus
    3. S. V. Semendyaev, “Coupled dynamics of solid system with slider-crank mechanisms as internal movers on rough surface with friction”, Coupled Problems in Science and Engineering VII (Coupled Problems 2017), ed. M. Papadrakakis, E. Onate, B. Schrefler, Int. Center Numerical Methods Engineering, 2017, 185–196  isi
    4. S. V. Semendyaev, “Solid system with two massive eccentrics on a rough plane: rotational case”, IFAC-PapersOnLine, 51:2 (2018), 884–889  crossref  isi  scopus
    5. B. S. Bardin, A. S. Panev, “On the motion of a rigid body with an internal moving point mass on a horizontal plane”, Eighth Polyakhov's Reading, AIP Conf. Proc., 1959, eds. E. Kustova, G. Leonov, N. Morosov, M. Yushkov, M. Mekhonoshina, Amer. Inst. Phys., 2018, 030002  crossref  isi  scopus
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