Skip to main content
Log in

Some general considerations concerning the destabilizing effect in nonconservative systems

  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Zusammenfassung

Es wird ein lineares System mitN Freiheitsgraden untersucht, beansprucht durch eine Gruppe nichtkonservativer Kräfte, welche linear von den verallgemeinerten Koordinaten abhängen. Mehrere Sätze bezüglich die labilisierende Wirkung von kleinen Kräften, die von den verallgemeinerten Geschwindigkeiten abhängen, werden aufgestellt. Diese Kräfte können von der Dämpfung oder von gyroskopischen Einflüssen herrühren.

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.

References

  1. H. Ziegler,Die Stabilitätskriterien der Elastomechanik, Ing.-Arch.20, 49–56 (1952).

    Google Scholar 

  2. V. V. Bolotin,Nonconservative Problems of the Theory of Elastic Stability, Moscow 1961; English translation published by Pergamon Press, Inc., New York, N. Y. 1963.

  3. G. Herrmann andI. C. Jong,On the Destabilizing Effect of Damping in Nonconservative Elastic Systems, J. appl. Mech.32, 592–597 (1965).

    Google Scholar 

  4. G. Herrmann andI. C. Jong,On Nonconservative Stability Problems of Elastic Systems with Slight Damping, J. appl. Mech., in press.

  5. H. Ziegler Linear Elastic Stability, ZAMP4, 89–121, 168–185 (1953).

    Google Scholar 

  6. H. Ziegler,On the Concept of Elastic Stability, Adv. appl. Mech.4, edited byH. L. Dryden andT. von Karman, Academic Press, Inc., New York, N. Y. 1956, pp. 351–403.

    Google Scholar 

  7. N. H. McCoy,Introduction to Modern Algebra, College Mathematics Series, Allyn and Bacon, Inc., 1960.

  8. G. Herrmann andS. Nemat-Nasser,Energy Considerations in the Analysis of Stability of Nonconservative Structural Systems, to be published in the Proceedings of the International Conference on Dynamic Stability of Structures, 1966.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported by the National Aeronautics and Space Administration under Grant NsG 605.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nemat-Nasser, S., Herrmann, G. Some general considerations concerning the destabilizing effect in nonconservative systems. Journal of Applied Mathematics and Physics (ZAMP) 17, 305–313 (1966). https://doi.org/10.1007/BF01601395

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01601395

Keywords

Navigation