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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, New York (1959).
A. S. Vol’mir, Stability of Elastic Systems [in Russian], Fizmatgiz, Moscow (1963).
A. S. Vol’mir, Stability of Deformable Systems [in Russian], Nauka, Moscow (1967).
É. L. Aksel’rad, Flexible Shells [in Russian], Nauka, Moscow (1976).
V. A. Bazhenov, V. I. Gulyaev, and E. O. Gotsulyak, Stability of Nonlinear Mechanical Systems [in Russian], Vyshcha Shkola, Lvov (1982).
V. A. Bazhenov, O. P. Krivenko, and M. O. Solovei, Nonlinear Deformation and Stability of Heterogeneous-Structured Elastic Shells [in Ukrainian], Vipol, Kyiv (2010).
G. D. Gavrilenko, “Numerical and analytical approaches to investigation of load-bearing capacity of imperfect shells,” Prikl. Mekh., No. 9, 44–63 (2003).
G. D. Gavrilenko, Load-Bearing Capacity of Imperfect Shells [in Ukrainian], Barviks, Dnipropetrovsk (2007).
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).
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).
D. G. Shimkovich, Structural Design Using MSC/NASTRAN for Windows [in Russian], DMK Press, Moscow (2001).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Problemy Prochnosti, No. 2, pp. 140 – 147, March – April, 2016.
Rights and permissions
About this article
Cite this article
Bazhenov, V.A., Luk’yanchenko, O.O., Kostina, O.V. et al. Nonlinear Bending Stability of a Long Flexible Cylindrical Shell with Geometrical Imperfections. Strength Mater 48, 308–314 (2016). https://doi.org/10.1007/s11223-016-9766-z
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11223-016-9766-z