Advertisement

Annali di Matematica Pura ed Applicata

, Volume 96, Issue 1, pp 141–148 | Cite as

A note on the disturbed equations of motion in the non-holonomic coordinates

  • Djordje S. Djukić
Article

Summary

The aim of this article is to establish the disturbed equations of motion in the non-holonomic coordinates. The governing differential equations of non disturbed motion are the Hamel-Boltzman equations. The disturbed equations obtained in this article can be used for consideration in holonomic and non-holonomic dynamics systems.

Keywords

Differential Equation Dynamic System Disturbed Motion Disturbed Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. [1]
    J. L. Synge,Geodesics in non-holonomic geometry, Math. Ann.,99 (1928), pp. 738–751.CrossRefzbMATHMathSciNetGoogle Scholar
  2. [2]
    J. L. Synge,On the geometry of dynamics, Phil. Trans. Roy. Soc., A226 (1926), pp. 31–106.zbMATHGoogle Scholar
  3. [3]
    G. Vranceanu,Sopra la stabilità geodetica, Rend. Acc. Lincei,5 (1927), pp. 107–110.zbMATHGoogle Scholar
  4. [4]
    J. A. Schouten, Über nicht-holonome Übertragungen in einer Ln, Math. Zeitschr.,30 (1929), pp. 149–172.CrossRefzbMATHMathSciNetGoogle Scholar
  5. [5]
    G. Vranceanu,Les espaces non-holonomes, Mém. des Sciences Mathém., Fasc. LXXVI (1936).Google Scholar
  6. [6]
    B. Vujanovic,The Hamiltonian Canonical Equations as a Problem in Non-Holonomic Coordinates, Proc. of the West Virginia Acad. of Scie.,41 (1969), pp. 324–328.Google Scholar
  7. [7]
    V. V. Dobronravov,Osnovi mehaniki negolonomnih sistem, Izd., Visa skola, Moskva 1970 (in russian).Google Scholar
  8. [8]
    A. I. Lurje,Analiticeskaja mehanika, Gosu. Iz. F.-M. lit., Moskva, 1961 (in russian).Google Scholar
  9. [9]
    J. I. Neimark -N. A. Fufaev,Dinamika negolonomnih sistem, Izd. Nauka, F.-M. Lit., Moskva, 1967 (in russian).Google Scholar
  10. [10]
    E. T. Whittaker,A treatise on the analytical dynamics of particles and rigid bodies, University Press, Cambridge, 1965.Google Scholar

Copyright information

© Nicola Zanichelli Editore 1973

Authors and Affiliations

  • Djordje S. Djukić
    • 1
  1. 1.Novi SadJugoslavia

Personalised recommendations