Applied Mathematics and Mechanics

, Volume 14, Issue 12, pp 1113–1123 | Cite as

On some important problems in analytical dynamics of non-holonomic systems

  • Liang Li-fu
  • Shi Zhi-fei
Article
  • 25 Downloads

Abstract

By using deductive method, Chetaev condition is derived in this paper. We point out that the processes of variation and differentiation are not permutable in non-holonomic dynamics is a misunderstanding. The paper gives two, classical relations of non-holonomic systems and points out integral variational principles can be applied in non-holonomic systems.

Key words

analytical dynamics variational principle non-holonomic systems the deductive metho Chetaev condition constraint force 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Mei Feng-xiang,Analytical Dynamics of Non-Holonomic Systems, Pekjing Science and Technology University Press, Beijing (1985). (in Chinese)Google Scholar
  2. [2]
    Chetaev, N. G., Stability of motion,Papers on Analytical Mechanics, Science Academy Press of U.S.S.R., Moscow (1962), 499. (in Russian).Google Scholar
  3. [3]
    Chetaev, N. G., A revision of Gauss principle,Applied Mathematics and Mechanics, Moscow,5 (1941). (in Russian).Google Scholar
  4. [4]
    Chen Bin,Analytical Dynamics, Pekjing University Press, Beijing (1987). (in Chinese)Google Scholar
  5. [5]
    Rumjantsev, V. V., On variational principles of analytical mechanics,Applied Mechanics, Ed. by Zheng Zhe-min, Pergamon Press, Beijing (1989).Google Scholar
  6. [6]
    Rumjantsev, V. V., On Hamilton principle of non-holonomic systems,Applied Mathematics and Mechanics,42 (1978). (in Russian)Google Scholar
  7. [7]
    Rumjantsev, V. V., On integral variational principles of non-holonomic systems,Applied Mathematics and Mechanics,46 (1982). (in Russian)Google Scholar
  8. [8]
    Chien Wei-zang, Generalized variational principles of elasticity and application in finite element method,Mechanics and Practice, 1–2 (1979). (in Chinese)Google Scholar
  9. [9]
    Chien Wei-zang,Variational Method and the Finite Element Method, Science Press, Beijing (1980). (in Chinese).Google Scholar
  10. [10]
    Hu Hai-chang,Variational Principles and Application in Elasticity, Science Press, Beijing (1981) (in Chinese)Google Scholar
  11. [11]
    Washizu, K.,Variational Method in Elasticity and Plasticity, Third Edition,-Pergamon-Press (1982).Google Scholar
  12. [12]
    Liang Li-fu, Application of Hamilton Principle to non-holonomic systems,The Conference on General Mechanics, Hangzhou (1987). (in Chinese)Google Scholar
  13. [13]
    Liang Li-fu, On a problem of analytical dynamics of non-holonomic systems,Applied Mechanics, Ed. by Zheng Zhe-min, Pergamon Presss, Beijing (1989).Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1993

Authors and Affiliations

  • Liang Li-fu
    • 1
  • Shi Zhi-fei
    • 2
  1. 1.Harbin Shipbuilding Engineering InstituteHarbin
  2. 2.Harbin Institute of TechnologyHarbin

Personalised recommendations