Title of the article

ON THE MOVEMENT OF A RIGID BODY WITH A RING SUPPORT AREA ALONG A ROUGH PLANE

Authors

Argatov I.I., Institute of Problems of Mechanical Engineering, St. Petersburg, Russia

In the section MECHANICS OF DEFORMED SOLIDS
Year 2008 Issue 1 Pages 49-52
Type of article RAR Index UDK 531.2 Index BBK  
Abstract

Equations of plane-parallel sliding of a rigid body with the ring support under dry friction are derived. For the time of braking of a nonhomogeneous ring, we obtain a two-sided estimate which coincides with the "unimproved" estimate in the limit case of the narrow ring. As an example, the problem of braking of a system of two nearly situated narrow rings is considered.

Keywords

Dry friction, rigid body

   
Bibliography
  • Lur'e A.I. Analiticheskaja mehanika [Analytical mechanics]. Moskow: GIFML, 1961. 824 p.
  • Ishlinskij A.Ju., Sokolov B.N., Chernous'ko F.L. O dvizhenii ploskih tel pri nalichii suhogo trenija [On the motion of flat bodies in the presence of dry friction]. Izv. AN SSSR. Meh. tverd. tela [Bulletin of the Academy of Sciences of the USSR. Mechanics of solid body], 1981, no. 4, pp.17-28.
  • Dmitriev N.N. O dvizhenii ploskih tel po poverhnosti s suhim anizotropnym treniem [On the motion of flat bodies on a surface with dry anisotropic friction]. Dep. v VINITI [Dep. VINITI]. Leningrad, 1988. 22 p.
  • Argatov I.I. Uslovija ravnovesija tverdogo tela na sherohovatoj ploskosti pri osesimmetrichnom raspredelenii normal'nyh davlenij [Solid-state equilibrium conditions on the rough surface with an axially symmetric distribution of normal pressure]. Izv. RAN. Meh. tverd. tela [Bulletin of the Academy of Sciences. Mechanics of solid body], 2005, no. 2, pp. 15-26.
  • Rozenblat G.M. Dinamicheskie sistemy s treniem [Dynamic systems with friction]. Reguljarnaja i haoticheskaja dinamika [Regular and chaotic dynamics]. Moskow; Izhevsk, 2005. 156 p.
  • Gradshtejn I.S., Ryzhik I.M Tablicy integralov, summ, rjadov i proizvedenij [Tables of integrals, sums, series and products]. Moskow: Fiz-matgiz, 1963. 1100 p.
  • Kontensu P. Svjaz' mezhdu treniem skol'zhenija i treniem verchenija i ejo uchet v teorii volchka [The connection between the sliding friction and friction spinning and its accounting in the theory of spinner]. Problemy giroskopii [Gyroscopy problems]. Moskow, Mir, 1967, pp. 60-77.
  • Zhuravlev V.F. O modeli suhogo trenija v zadache kachenija tverdyh tel [On a model of dry friction in the problem of rolling solids]. Prikl. matem. i meh. [Applied mathematics and mechanics], 1998, Vol. 62, Ed. 5, pp. 762-767.
  • Kireenkov A.A. O dvizhenii odnorodnogo vrashhajushhegosja diska po ploskosti v uslovijah kombinirovannogo trenija [On the motion of a homogeneous rotating disk on the plane in a combination of friction]. Izv. RAN. Meh. tverd. tela [Bulletin of the Academy of Sciences. Mechanics of solid body], 2002, no. 1, pp. 60-67.
  • Samsonov V.A. O trenii pri skol'zhenii i verchenii tela [On the friction during sliding and rotation of the body]. Vestn. MGU [Bulletin of MGU]. Ser.1, 1981, no. 2, pp. 76-78.