Strength of Materials

, Volume 48, Issue 2, pp 308–314 | Cite as

Nonlinear Bending Stability of a Long Flexible Cylindrical Shell with Geometrical Imperfections

  • V. A. Bazhenov
  • O. O. Luk’yanchenko
  • O. V. KostinaEmail author
  • O. V. Gerashchenko

The authors put forward a numerical approach to determination of nonlinear bending stability of a long flexible cylindrical shell with geometrical imperfections. The shell wall imperfection in the form of bulging in long half-wave is modeled using a software package for finite-element analysis. Prebuckling and postbuckling behavior of an imperfect shell in bending is studied. The critical normal stress in the shell compression zone is plotted vs. the imperfection amplitude. The bending stability region is determined for a shell with geometrical imperfections.


nonlinear stability flexible cylindrical shell geometrical imperfection finite-element method bending 


  1. 1.
    S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, New York (1959).Google Scholar
  2. 2.
    A. S. Vol’mir, Stability of Elastic Systems [in Russian], Fizmatgiz, Moscow (1963).Google Scholar
  3. 3.
    A. S. Vol’mir, Stability of Deformable Systems [in Russian], Nauka, Moscow (1967).Google Scholar
  4. 4.
    É. L. Aksel’rad, Flexible Shells [in Russian], Nauka, Moscow (1976).Google Scholar
  5. 5.
    V. A. Bazhenov, V. I. Gulyaev, and E. O. Gotsulyak, Stability of Nonlinear Mechanical Systems [in Russian], Vyshcha Shkola, Lvov (1982).Google Scholar
  6. 6.
    V. A. Bazhenov, O. P. Krivenko, and M. O. Solovei, Nonlinear Deformation and Stability of Heterogeneous-Structured Elastic Shells [in Ukrainian], Vipol, Kyiv (2010).Google Scholar
  7. 7.
    G. D. Gavrilenko, “Numerical and analytical approaches to investigation of load-bearing capacity of imperfect shells,” Prikl. Mekh., No. 9, 44–63 (2003).Google Scholar
  8. 8.
    G. D. Gavrilenko, Load-Bearing Capacity of Imperfect Shells [in Ukrainian], Barviks, Dnipropetrovsk (2007).Google Scholar
  9. 9.
    E. A. Gotsulyak, O. A. Luk’yanchenko, and V. V. Shakh, “On stability of cylindrical shells of variable wall thickness with initial imperfections,” Prikl. Mekh., No. 4, 103–108 (2009).Google Scholar
  10. 10.
    E. O. Gotsulyak, I. I. Luk’yanchenko, I. V. Kostina, and I. G. Garan, “Stability of supported cylindrical shell with geometric imperfections under combined loading,” Strength Mater., 44, No. 5, 556–561 (2012).CrossRefGoogle Scholar
  11. 11.
    D. G. Shimkovich, Structural Design Using MSC/NASTRAN for Windows [in Russian], DMK Press, Moscow (2001).Google Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • V. A. Bazhenov
    • 1
  • O. O. Luk’yanchenko
    • 1
  • O. V. Kostina
    • 1
    Email author
  • O. V. Gerashchenko
    • 1
  1. 1.Research Institute for Structural Mechanics of the Kyiv National University of Construction and ArchitectureKyivUkraine

Personalised recommendations