Skip to main content
Log in

Noether's theory of mechanical systems with unilateral constraints

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Noether's theory of dynamical systems with unilateral constraints by introducing the generalized quasi-symmetry of the infinitesimal transformation for the transformation group G, is presented and two examples to illustrate the application of the result are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Djukic Dj S, Vujanovic B. Noether's theory in classical nonconservative mechanics[J].Acta Mechanica, 1975,23:17–27.

    Article  MATH  MathSciNet  Google Scholar 

  2. Vujanovic B. A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss[J].Acta Mechanica, 1986,65:63–80.

    Article  MathSciNet  Google Scholar 

  3. Li Ziping.Classical and Quantum Constrained System and Its Symmetric Properties [M]. Beijing: Beijing Industry University Press, 1993. (in Chinese)

    Google Scholar 

  4. Liu Duan. Noether's theorem and its inverse of nonholomic nonconservative dynamical systems [J].Science in China (Series A) 1991,34(4):419–429.

    Google Scholar 

  5. Mei Fengxiang. Noether's theory of Birkhoffian system [J].Science in China (Series A), 1993,36 (7):709–717.

    Google Scholar 

  6. Mei Fengxiang. Spacial problems in analytical mechanics [M]. Beijing: Beijing Institute of Technology Press, 1988. (in Chinese)

    Google Scholar 

  7. Zhuravlev V F. Equations of motion of mechanical systems with ideal unilateral constraints [J].PMM, 1978,42(5):781–788. (in Russian)

    MATH  MathSciNet  Google Scholar 

  8. Ivanov A P. The equations of motion of a nonholonomic system with a non-retaining constraint [J].PMM, 1985,49(5):717–723. (in Russian)

    MATH  Google Scholar 

  9. Lötstedt P. Mechanical systems of rigid bodies subject to unilateral constraints [J].SIAM J Appl Math, 1982,42(2):281–296.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Liu Zengrong

Foundation item: the National Natural Science Foundation of China (19572018); the Doctoral Programme Foundation of Institution of Higher Education of China

Biography: Zhang Yi (1964 ∼)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yi, Z., Fengxiang, M. Noether's theory of mechanical systems with unilateral constraints. Appl Math Mech 21, 59–66 (2000). https://doi.org/10.1007/BF02458540

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02458540

Key words

CLC number

Navigation