Skip to main content
SpringerLink
Log in

Vibration and stability of a nonconservative two-degree-of-freedom system

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

Summary

It often results in a problem of eigenvalues of a non-symmetric matrix to solve the vibration and stability of a nonconservative structural system, which would cause many difficulties in numerical calculations. In the present paper, a variational principle with an additional condition for a nonconservative two-degree-of-freedom system is proposed, based on which an iterative procedure is formed. The method is to transform a nonconservative problem into a series of conservative ones. The convergence characters of the method are analysed and numerical results are given.

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. Bolotin, V. V.: Nonconservative problems of the theory of elastic stability. New York: Pergamon Press 1963.

    Google Scholar 

  2. Leipholz, H.: Stability of elastic systems. Sijthoff and Noordhoff 1980.

  3. Huseyin, K.: Vibration and stability of multiple parameter systems. Noordhoff Int. Pub. 1978.

  4. Herrmann, G.: Stability of equilibrium of elastic systems subjected to nonconservative forces. Applied Mechanics Reviews20, 103–108 (1967).

    Google Scholar 

  5. Herrmann, G.: Dynamics and stability of mechanical systems with follower forces. NASA CR-1782, 1971.

  6. Herrmann, G., Bungay, R. W.: On the stability of elastic systems subjected to non-conservative forces. J. Applied Mechanics31, 435–440 (1964).

    Google Scholar 

  7. Xiong, Y., Wang, T. K.: Analysis of the dynamical characters of a nonconservative two-degree-of-freedom system. Scientific Report of Beijing Inst. of Aero. and Astro., BH-B 2662, 1987.

Download references

Author information

Authors and Affiliations

  1. 511 Laboratory Beijing Institute of Aeronautics and Astronautics, Beijing, P. R. China

    Y. Xiong &  T. K. Wang

Authors
  1. Y. Xiong
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. K. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

With 2 Figures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiong, Y., Wang, T.K. Vibration and stability of a nonconservative two-degree-of-freedom system. Acta Mechanica 73, 231–238 (1988). https://doi.org/10.1007/BF01177042

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01177042

Keywords

Search

Navigation