Skip to main content
Log in

Stability and Postcritical Behavior of Corrugated Cylindrical Panels Under External Pressure

  • Published:
International Applied Mechanics Aims and scope

The problem of the deformation of longitudinally corrugated long open cylindrical shells under external pressure is considered. It is solved using the third-order Timoshenko–Mindlin theory of shells. It is shown that the refined equations should be used to analyze the postcritical behavior of shells

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. V. A. Bazhenov, M. P. Semenyuk, and V. M. Trach, Nonlinear Deformation, Stability, and Postcritical Behavior of Anisotropic Shells [in Ukrainian], Karavela, Kyiv (2010).

    Google Scholar 

  2. G. L. Vanin, N. P. Semenyuk, and R. F. Emel’yanov, Stability of Shells Made of Reinforced Materials [in Russian], Naukova Dumka, Kyiv (1978).

    Google Scholar 

  3. E. I. Grigolyuk and V. I. Shalashilin, Problems of Nonlinear Deformation: Parameter Continuation Method in Nonlinear Problems of Solid Mechanics [in Russian], Nauka, Moscow (1988).

    Google Scholar 

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

    Google Scholar 

  5. V. V. Novozhilov, Foundations of the Nonlinear Theory of Elasticity, Dover, New York (1999).

    Google Scholar 

  6. V. V. Novozhilov, Thin Shell Theory, Noordhoff, Groningen (1964).

    Book  Google Scholar 

  7. N. P. Semenyuk, “ Refined variant of a nonlinear theory of shells of the Timoshenko type and its use for calculating the initial post-critical behavior of long cylindrical shells,” Int. Appl. Mech., 26, No. 8, 754–760 (1990).

    ADS  MATH  Google Scholar 

  8. 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  ADS  MathSciNet  Google Scholar 

  9. N. P. Semenyuk, “Stability of corrugated arches under external pressure,” Int. Appl. Mech., 49, No. 2, 211–219 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  10. N. P. Semenyuk and N. B. Zhukova, “Accuracy of nonlinear relations of Timoshenko-type shell theory when transverse contraction is ignored,” Int. Appl. Mech., 26, No. 10, 942–948 (1990).

    ADS  MATH  Google Scholar 

  11. N. P. Semenyuk, N. B. Zhukova, and N.A. Neskhodovskaya, “Stability of orthotropic corrugated cylindrical shells under axial compression,” Mech. Comp. Mater., 38, No. 3, 243–250 (2002).

    Article  Google Scholar 

  12. N. P. Semenyuk, N. B. Zhukova, and V. V. Ostapchuk, ”Stability of corrugated composite noncircular cylindrical shells under external pressure,” Int. Appl. Mech., 43, No. 12, 1380–1389 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  13. 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  ADS  Google Scholar 

  14. N. P. Semenyuk, V. M. Trach, and N. B. Zhukova, ”Incremental analysis of the nonlinear behavior of thin shells,” Int. Appl. Mech., 44, No. 9, 1025–1031 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  15. Y. M. Tarnopolskiy and A. V. Roze, Characteristics for Calculating Parts Made of Reinforced Plastics, NASA-TM-75915 (1981).

  16. S. P. Timoshenko, Theory of Elastic Stability, McGraw-Hill, New York (1936).

    Google Scholar 

  17. I. Yu. Babich, N. B. Zhukova, N. P. Semenyuk, and V. M. Trach, “Stability of circumferentialy corrugated cylindrical shells under external pressure,” Int. Appl. Mech., 46, No. 8, 919–928 (2010).

    Article  MathSciNet  Google Scholar 

  18. I. Yu. Babich, N. B. Zhukova, N. P. Semenyuk, and V. M. Trach, “Stability of circumferentialy corrugated shells under hydrostatic pressure,” Int. Appl. Mech., 46, No. 9, 1001–1038 (2010).

    Article  MathSciNet  Google Scholar 

  19. B. Budiansky, “Theory of buckling and post-buckling behavior of elastic structures,” Adv. Appl. Mech., 14, 2–65 (1974).

    Google Scholar 

  20. E. Hurlbrink, “Festigkeits-berechnung von rohrenartigen Korpern, die unter ausserem Drucke stehen,” Schiffbau, 9, No. 14, 517–523 (1907/1908).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. P. Semenyuk.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 49, No. 6, pp. 86–99, November–December 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Semenyuk, N.P., Zhukova, N.B. Stability and Postcritical Behavior of Corrugated Cylindrical Panels Under External Pressure. Int Appl Mech 49, 702–714 (2013). https://doi.org/10.1007/s10778-013-0604-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-013-0604-8

Keywords

Navigation