Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Stability of Orthotropic Corrugated Cylindrical Shells under Axial Compression

  • Published:
Mechanics of Composite Materials Aims and scope

Abstract

The problem of stability of orthotropic noncircular cylindrical shells whose cross section can be described by a function in the form of superposition of a constant and a multiperiodic cosinusoid is considered. The solution of this problem is based on a rigorous consideration of the shell geometry and on the representation of the resolving functions in terms of trigonometric series in the circumferential coordinate. The determination of the bifurcation load is reduced to finding the minimum eigenvalue of a sequence of infinite systems of homogeneous algebraic equations. The effect of corrugation on the critical load of thin glass- and boron-reinforced shells of arbitrary length is analyzed. The data on the efficiency of corrugated shells, in comparison with circular ones, in relation to the mechanical properties of materials are obtained. The accuracy of the calculation procedure is estimated in the case where the corrugated shell is simulated by an equivalent circular one.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Ya. M. Grigorenko, A. T. Vasilenko, and N. D. Pankratova, Calculation of Noncircular Cylindrical Shells [in Russian], Naukova Dumka, Kiev (1977).

    Google Scholar 

  2. Ya. M. Grigorenko and L. I. Zakhariichenko, “Design of corrugated cylindrical shells under different end condition,” Int. Appl. Mech., 35, No. 9, 897–905 (1999).

    Google Scholar 

  3. Ya. M. Grigorenko, Ya. G. Savula, and I. S. Mukha, “Linear and nonlinear problems of elastic deformation of complex shells and a method of their numerical solution,” Int. Appl. Mech., 36, No. 12, 979–1000 (2000).

    Article  Google Scholar 

  4. V. I. Korolev, Elastoplastic Deformations of Shells [in Russian], Mashinostroenie, Moscow (1970).

    Google Scholar 

  5. V. I. Shalashilin, “Stability and postcritical deformation of corrugated cylindrical shells,” Izv. Akad. Nauk SSSR. Mekh., No. 3, 131–135 (1965).

  6. G. L. Komissarova, “Stability of longitudinally corrugated cylindrical shells with and without reinforcing ribs,” in: Trans. IV All-Union Conf. Theory of Shells and Plates [in Russian], Nauka, Moscow (1963), pp. 567–571.

    Google Scholar 

  7. G. A. Vanin and N. P. Semenyuk, Stability of Shells of Composite Materials with Imperfections [in Russian], Naukova Dumka, Kiev (1987).

    Google Scholar 

  8. Kh. M. Mushtari and K. Z. Galimov, Nonlinear Theory of Elastic Shells [in Russian], Tatizdat, Kazan' (1957).

    Google Scholar 

  9. L. H. Donnell, Beams, Plates, and Shells [Russian translation], Nauka, Moscow (1982).

    Google Scholar 

  10. A. I. Lur'e, Statics of Thin-Walled Elastic Shells [in Russian], Gostekhizdat, Moscow-Leningrad (1947).

    Google Scholar 

  11. L. E. Andreeva, “Calculation of corrugated membranes as anisotropic plates,” Inzh. Sborn., 21, 128–141 (1955).

    Google Scholar 

  12. Chi-Teh Wang, Applied Elasticity, McGrow-Hill, New York-London-Toronto.

  13. R. B. Rikards and G. A. Teters, Stability of Shells of Composite Materials [in Russian], Zinatne, Riga (1974).

    Google Scholar 

  14. W. Flügge, Static und Dynamik der Schalen, Springer-Verlag (1957).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Semenyuk, N.P., Zhukova, N.B. & Neskhodovskaya, N.A. Stability of Orthotropic Corrugated Cylindrical Shells under Axial Compression. Mechanics of Composite Materials 38, 243–250 (2002). https://doi.org/10.1023/A:1016087202041

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1016087202041