Skip to main content
Log in

On the inverse Lagrangian problem

  • Notes
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

An ad-hoc assumption regarding the form of the Lagrangian for a dynamic system with one degree of freedom is made. It is shown that this assumption leads to some useful conclusions. Several interesting examples are provided.

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. Whittaker, E. T.: A treatise on the analytical dynamics of particles and rigid bodies. 4th Ed. Cambridge University Press 1965.

  2. Havas, P.: The range of application of the Lagrangian formalism. Nuovo Cimento5, 363–388 (1957).

    Google Scholar 

  3. Leitmann, G.: Some remarks on Hamilton's principle. J. Appl. Mech.85, 623–625 (1963).

    Google Scholar 

  4. Kamke, E.; Differentialgleichungen, Lösungsmethoden und Lösungen. 3rd ed. Chelsea, New York 1959.

    Google Scholar 

  5. Gettys, W. E., Ray, J. R., Breitenberger, E.: Bohlin's and other integrals for the damped harmonic oscillator. Am. J. Phys.49, 162–164 (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jones, S.E., Vujanovic, B. On the inverse Lagrangian problem. Acta Mechanica 73, 245–251 (1988). https://doi.org/10.1007/BF01177044

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01177044

Keywords

Navigation