Skip to main content
SpringerLink
Log in

Calculation of shells with large rectangular holes in the presence of finite bending deflections

  • Published:
International Applied Mechanics Aims and scope

Abstract

The stability of shells perforated by large holes has been investigated previously [1–6]. The results published in the cited papers lead to the conclusion that the problem of the stability of shells with large holes is in a stage of vigorous development. The application of standard numerical methods in these problems is impeded by the fact that they are incapable of refining the stress concentration and local stability in the vicinity of corners of the holes and give an approximate smoothed distribution pattern of the forces and torques. Methods of approximation of the solutions in terms of regular functions [2] are complicated by the poor convergence of the corresponding series near the edges of a hole.

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. Yu. A. Ashmfrin and A. N. Guz', "Stability of shells weakened by holes (review)," Prikl. Mekh.,9, No. 4, 3–15 (1973).

    Google Scholar 

  2. I. N. Preobrazhenskii, Stability and Vibrations of Plates and Shells with Holes [in Russian], Mashinostroenie, Moscow (1981).

    Google Scholar 

  3. A. N. Guz', Cylindrical Shells Weakened by Holes [in Russian], Naukova Dumka, Kiev (1974).

    Google Scholar 

  4. A. N. Guz', I. S. Chernyshenko, Val. N. Chekhov, et al., "Theory of thin shells with holes (review)," Prikl. Mekh.,15, No. 11, 3–37 (1979).

    Google Scholar 

  5. G. D. Gavrilenko, Stability of Cylindrical Rubber Shells in a Nonuniform Stress — Strain State [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  6. M. I. Dlugach and N. V. Koval'chuk, "Finite-element analysis of the stressed state of cylindrical rubber shells with rectangular holes," Prikl. Mekh.,10, No. 10, 22–30 (1974).

    Google Scholar 

  7. V. V. Petrov, Method of Successive Loading in the Nonlinear Theory of Plates and Shells [in Russian], Izd. SGU, Saratov (1975).

    Google Scholar 

  8. V. Z. Vlasov, General Theory of Shells [in Russian], Gostekhizdat, Moscow (1949).

    Google Scholar 

  9. B. K. Mikhailov, Plates and Shells with Discontinuous Parameters [in Russian], Izd. LGU, Leningrad (1980).

    Google Scholar 

Download references

Authors
  1. F. F. Gayanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Structural Engineering Institute, St. Petersburg. Translated from Prikladnaya Mekhanika, Vol. 30, No. 2, pp. 41–48, February, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gayanov, F.F. Calculation of shells with large rectangular holes in the presence of finite bending deflections. Int Appl Mech 30, 117–123 (1994). https://doi.org/10.1007/BF00848509

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00848509

Keywords

Search

Navigation