Skip to main content
SpringerLink
Log in

The torsional stability of a cylinder subject to finite perturbations

  • Published:
International Applied Mechanics Aims and scope

Abstract

The problem of torsional stability of a circular cylinder made from a compressible nonlinearly elastic material is solved for finite perturbations. In contrast to the classical theory of bifurcation, an infinite sequence of steady states that bounds the domain of allowed initial perturbations is constructed. The applicability of the classical three-dimensional linear theory of stability is evaluated.

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. A. E. Green and J. E. Adkins,Large Elastic Deformations and Nonlinear Continuum Mechanics [Russian translation], Mir, Moscow (1965).

    Google Scholar 

  2. A. N. Guz',Stability of Elastic Bodies Subjects to Finite Deformations [in Russian], Naukova Dumka, Kiev (1973).

    Google Scholar 

  3. A. N. Guz' F. G. Makhort, O. M. Gushcha, and V. K. Lebedev,Fundamentals of the Ultrasonic Nondestructive Method of Stress Analysis of Solids [in Russian], Naukova Dumka, Kiev (1974).

    Google Scholar 

  4. D. R. Merkin,Introduction to the Theory of Motion Stability [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  5. A. N. Sporykin and A. I. Sumin, “The stability of a nonlinearly elastic strip subject to finite initial deformations,”Prikl. Mekh.,17, No. 6, 135–137 (1981).

    Google Scholar 

  6. A. N. Sporykhin and A. I. Sumin, “New phenomena in the theory of stability of nonlinear media subject to finite perturbations,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 8, 46–49 (1982).

    Google Scholar 

  7. A. N. SporykhinThe Perturbation Method in Problems of Stability of Complex Media [in Russian], Voronezh (1997).

  8. A. E. Green and A. Y. Spenser, “The stability of a circular cylinder under finite extension and torsion”, {jtJ. Math. Phys.}, 34 (1959).

Download references

Authors
  1. A. N. Sporykhin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Sumin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Voronezh University, Russia. Translated from Prikladnaya Mekhanika, Vol. 36, No. 3, pp. 133–136, March, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sporykhin, A.N., Sumin, V.A. The torsional stability of a cylinder subject to finite perturbations. Int Appl Mech 36, 410–413 (2000). https://doi.org/10.1007/BF02681925

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02681925

Keywords

Search

Navigation