Skip to main content
Log in

Stability of longitudinally corrugated cylindrical shells under uniform surface pressure

  • Published:
International Applied Mechanics Aims and scope

Abstract

The buckling problem for longitudinally corrugated cylindrical shells under external pressure is solved. The solution makes practically exact allowance for the geometry and buckling modes of the shell. The inaccuracy of the results is due to the assumption that the subcritical state is momentless. Shells consisting of cylindrical panels of smaller radius and noncircular shells with sinusoidal corrugations are analyzed for stability. The practical applicability of such shells is demonstrated

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.

Similar content being viewed by others

References

  1. L. E. Andreeva, “Design of corrugated membranes as anisotropic plates,” Inzh. Sb., 21, 128–141 (1955).

    Google Scholar 

  2. G. I. Brankov, “Toward a theory of wavy shells,” Int. Appl. Mech., 34, No. 3, 334–339 (1998).

    Google Scholar 

  3. D. V. Vainberg, P. M. Sazonov, and P. I. Semenov, “Design of corrugated shells,” in: A. A. Umanskii (ed.), Design of Space Structures [in Russian], Issue 7, Gosstroiizdat, Moscow (1962), pp. 49–71.

    Google Scholar 

  4. Ya. M. Grigorenko and N. N. Kryukov, Numerical Solution of Static Problems for Flexible Layered Shells with Variable Parameters [in Russian], Naukova Dumka, Kyiv (1988).

    Google Scholar 

  5. V. I. Gulyaev, V. A. Bazhenov, and E. A. Gotsulyak, Stability of Nonlinear Mechanical Systems [in Russian], Vyshcha Shkola, Lviv (1982).

    Google Scholar 

  6. G. L. Komissarova, “Stability of a longitudinally corrugated cylindrical shell with and without stiffening rings,” in: Proc. 4th All-Union Conf. on the Theory of Shells and Plates [in Russian], Nauka, Moscow (1963), pp. 567–571.

    Google Scholar 

  7. A. N. Krylov, Lectures on Approximate Calculations [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

    Google Scholar 

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

    Google Scholar 

  9. V. V. Novozhilov, Theory of Thin Shells [in Russian], Sudpromgiz, Leningrad (1962).

    Google Scholar 

  10. A. A. Podorozhnyi, “Data for design of a shell with a corrugation subjected to compression and shear,” Tr. TsAGI, 520, 48 (1940).

    Google Scholar 

  11. N. P. Semenyuk, “Stability of noncircular cylindrical shells under axial compression,” Int. Appl. Mech., 20, No. 9, 813–821 (1984).

    MATH  Google Scholar 

  12. N. P. Semenyuk, “Stability of axially compressed noncircular cylindrical shells consisting of panels of constant curvature,” Int. Appl. Mech., 39, No. 6, 726–735 (2003).

    Article  MathSciNet  Google Scholar 

  13. W. Flügge, Statics and Dynamics of Shells [in German], Springer, Berlin (1962).

    Google Scholar 

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

  15. Ya. M. Grigorenko and S. N. Yaremchenko, “Refined design of corrugated noncircular cylindrical shells,” Int. Appl. Mech., 41, No. 1, 7–13 (2005).

    Article  Google Scholar 

  16. Ya. M. Grigorenko, A. Ya. Grigorenko, and L. I. Zakhariichenko, “Stress analysis of noncircular cylindrical shells with cross section in the form of connected convex half-corrugations,” Int. Appl. Mech., 42, No. 4, 431–438 (2006).

    Article  Google Scholar 

  17. Ya. M. Grigorenko, A. Ya. Grigorenko, and L. I. Zakhariichenko, “Stress-strain solutions for circumferentially corrugated elliptic shells,” Int. Appl. Mech., 42, No. 9, 1021–1028 (2006).

    Article  Google Scholar 

  18. Ya. M. Grigorenko and I. V. Kharitonova, “Solution of the deformation problem for flexible noncircular cylindrical shell subject to bending moments at the edges,” Int. Appl. Mech., 42, No. 11, 1278–1284 (2006).

    Article  Google Scholar 

  19. N. P. Semenyuk and N. A. Neskhodovskaya, “Stability of orthotropic corrugated cylindrical shells,” Int. Appl. Mech., 37, No. 11, 1447–1457 (2001).

    Article  Google Scholar 

  20. N. P. Semenyuk and N. A. Neskhodovskaya, “Timoshenko-type theory in the stability analysis of corrugated cylindrical shells,” Int. Appl. Mech., 38, No. 6, 723–730 (2002).

    Article  Google Scholar 

  21. N. P. Semenyuk and N. A. Neskhodovskaya, “On design models in stability problems for corrugated cylindrical shells,” Int. Appl. Mech., 38, No. 10, 1245–1252 (2002).

    Article  Google Scholar 

  22. K. P. Soldatos, “Mechanics of cylindrical shells with non-circular cross-section: A survey,” Appl. Mech. Rev., 52, No. 8, 237–273 (1999).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Prikladnaya Mekhanika, Vol. 43, No. 11, pp. 66–79, October 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Semenyuk, N.P., Babich, I.Y. Stability of longitudinally corrugated cylindrical shells under uniform surface pressure. Int Appl Mech 43, 1236–1247 (2007). https://doi.org/10.1007/s10778-007-0127-2

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-007-0127-2

Keywords

Navigation