Skip to main content
SpringerLink
Log in

One type of integrals for the equations of motion of higher-order nonholonomic systems

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

Abstract

This paper presents one type of integrals and its condition of existence for the equations of motion of higher-order nonholonomic systems, including 1-order integral (generalized energy integral), 2-order integral and p-order integral (p>2).All of these integrals can be constructed by the Lagrangian function of the system. Two examples are given to illustrate the application of the suggested method.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dolaptchiew, B., Sur les systemes mecaniques nonholonomes assujettis à les liaisons arbitraires.C. R. Acad. Sc. Paris.262, 11 (1966), 631–634

    MATH  Google Scholar 

  2. Mei Feng-xiang, On the Chaplygin's equations of the mechanical systems with nonholonomic constraints of arbitrary order,J. of Beijing Institute of Technology,2 (1981), 17–29. (in Chinese)

    Google Scholar 

  3. Liu Zheng-fu, Jin Fu-sheng and Mei Feng-xiang, Nielsen's and Euler's operators of higher order in analytical mechanics,Appl. Math. andMech.,7, 1 (1986), 53–63.

    Article  MathSciNet  Google Scholar 

  4. Zhao Guan-kang and Zhao Yue-yu, Equations of motion of variable mass in higher-order nonholonomic mechanical systems,Appl. Math. andMech.,6, 12 (1985), 1195–1204.

    Google Scholar 

  5. Qiao Yong-fen, Volterra's equation of variable mass in high-order nonholonomic mechanical system,Acta Mechanica Sinica,21, 5 (1989), 631–640. (in Chinese)

    Google Scholar 

  6. Luo, Shao-kai, Relativistic Nielson's equations for higher order nonholonomic systems.J. of. Huanghuai,2 (1989), 9–9. (in Chinese)

    MATH  Google Scholar 

  7. Mei Feng-xiang,Foundations of Mechanics of Nonholonomic Systems, BIT Press (1985). (in Chinese)

  8. Mei Feng-xiang,Researches on Nonholonomic Dynamics, BIT Press (1987). (in Chinese)

Download references

Author information

Authors and Affiliations

  1. Beijing Institute of Technology, Beijing

    Mei Feng-xiang

Authors
  1. Mei Feng-xiang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Chang Ju-ching

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feng-xiang, M. One type of integrals for the equations of motion of higher-order nonholonomic systems. Appl Math Mech 12, 799–806 (1991). https://doi.org/10.1007/BF02458170

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02458170

Key words

Search

Navigation