ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
Menu

11
Issue
vol 67 / November, 2024
Article

DOI 10.17586/0021-3454-2017-60-8-793-796

UDC 620.179:531.53

BIFURCATION COMPONENT OF SLIDING FRICTION

V. M. Musalimov
Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Saint Petersburg, 199178, Russian Federation; Chief Researcher


Read the full article 

Abstract. The mechanism of dry friction is analyzed on the base of the theory of elastic stability with its successful concept of stability and critical force. Methods of the catastrophe theory are used actively to assess supercritical state of the elements of the microconstrictions with subsequent estimating the possible displacements, and the final computation of coefficients of friction. It is noted that bifurcation component of friction is desirable to be included in the list of core processes of macroscopic friction.
Keywords: sliding friction, elastic stability, упругая устойчивость, supercritical behavior

References:
  1. Czichos H. Tribology. A systems approach to the science and technology of friction, lubrication, Elsevier Science Ltd., 1978, 417 р.
  2. Demkin N.B. Friction and Wear, 2000, no. 2(21), pp. 115–120. (in Russ.)
  3. Kragel'skiy I.V., Dobychin M.N., Kombalov V.S. Osnovy raschetov na trenie i iznos (Fundamentals of Calculations on Friction and Deterioration), Moscow, 1977, 344 p. (in Russ.)
  4. Kragel'skiy I.V. Trenie, iznashivanie i smazka: Spravochnik (Friction, Wear and Lubrication: Handbook), Book 1, Moscow, 1978, 400 р. (in Russ.)
  5. Musalimov V.M., Valetov V.A. Dinamika friktsionnogo vzaimodeystviya (The dynamics of frictional interaction), St. Petersburg, 2006, 130 р. (in Russ.)
  6. Panovko Ya.G. Osnovy prikladnoy teorii kolebaniy i udara (Fundamentals of Applied Theory of Vibrations and Shock), Leningrad, 1976, 320 р. (in Russ.)
  7. Pisarenko G.S., ed., Soprotivlenie materialov (Strength of Materials), Kiev, 1986, 775 р. (in Russ.)
  8.  Gilmore R. Catastrophe Theory for Scientists and Engineers, NY, Dover, 1993.
  9. Thompson J.M.T. Instabilities and Catastrophes in Science and Engineering, NY, Wiley, 1982.
  10. Bezukhov N.I., Luzhin O.V., Kolkunov N.V. Ustoychivost' i dinamika v primerakh i zadachakh (Stability and Dynamics in Examples and Tasks), Moscow, 1987, 264 р. (in Russ.)
  11. Bolotin V.V. Nekonservativnye zadachi teorii uprugoy ustoychivosti (Nonconservative Tasks of the Theory of Elastic Stability), Moscow, 1961, 339 р. (in Russ.)
  12. Musalimov V.M., Epshteyn S.M. Issledovaniya po stroitel'nym konstruktsiyam i stroitel'noy mekhanike (Researches on Building Constructions and Construction Mechanics), Tomsk, 1987, рр. 108–114. (in Russ.)