Skip to main content
SpringerLink
Log in

On the improved Kirchhoff equation modelling nonlinear vibrations of beams

  • Published:
Acta Mechanica Aims and scope Submit manuscript

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

References

  • H. Kauderer (1958) Nichtlineare Mechanik Springer Berlin Göttingen Heidelberg Occurrence Handle0096.28801

    MATH  Google Scholar 

  • Kirchhoff, G.: Vorlesungen über Mathematische Physik. Erster Band. Mechanik. Leipzig: B. G. Teubner 1897.

  • A. F. Vakakis L. I. Manevitch Y. V. Mikhlin V. N. Philipchuk A. A. Zevin (1996) Normal modes and localization in nonlinear systems Wiley Interscience New York Occurrence Handle0917.93001

    MATH  Google Scholar 

  • J. Awrejcewicz I. V. Andrianov L. I. Manevitch (1998) Asymptotic approaches in nonlinear dynamics: New trends and applications Springer Berlin Heidelberg New York

    Google Scholar 

  • G. Suweken W. T. Horssen Particlevan (2003) ArticleTitleOn the weakly nonlinear transversal vibrations of a conveyor belt with a low and time-varying velocity Nonlinear Dynamics 31 197–203 Occurrence Handle1030.74022 Occurrence Handle1967549 Occurrence Handle10.1023/A:1022053131286

    Article  MATH  MathSciNet  Google Scholar 

  • K. V. Avramov (2002) ArticleTitleNon-linear beam oscillations excited by lateral force at combined resonance J. Sound Vibr. 257 IssueID2 337–359 Occurrence Handle2015145 Occurrence Handle10.1006/jsvi.2002.5043

    Article  MathSciNet  Google Scholar 

  • V. V. Bolotin (1964) The dynamical stability of elastic systems Holden-Day San Francisco

    Google Scholar 

  • K. V. Avramov (2003) ArticleTitleBifurcations of parametric oscillations of beam with three equilibria Acta Mech. 164 115–138 Occurrence Handle1064.74099 Occurrence Handle10.1007/s00707-003-0022-9

    Article  MATH  Google Scholar 

  • A. L. Gol'denviezer (1961) Theory of elastic thin shells Pergamon Press New York Oxford London Paris

    Google Scholar 

  • Bauer, S. M., Filippov, S. B., Smirnov, A. L., Tovstik, P. E.: Asymptotic methods in mechanics with applications to thin plates and shells. In: Asymptotic Methods in Mechanics (Vaillancourt, R., Smirnov, A. L., eds.). CRMP Proc. & Lect. Notes 3, 3–140 (1994).

  • J. D. Kaplunov L. Y. Kossovich E. V. Nolde (1998) Dynamics of thin walled elastic bodies Academic Press San Diego, CA Occurrence Handle0927.74001

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Allgemeine Mechanik, RWTH Aachen, Templergraben 64, D-52056, Aachen, Germany

    I. V. Andrianov

  2. Department of Automatics and Biomechanics, Technical University of Łódź, 1/15 Stefanowski St, PL-90-924, Łódź, Poland

    J. Awrejcewicz

Authors
  1. I. V. Andrianov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Awrejcewicz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. V. Andrianov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Andrianov, I.V., Awrejcewicz, J. On the improved Kirchhoff equation modelling nonlinear vibrations of beams. Acta Mechanica 186, 135–139 (2006). https://doi.org/10.1007/s00707-006-0350-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-006-0350-7

Keywords

Search

Navigation