Corrugated shells of revolution that may be considered cylindrical when the corrugation amplitude is small are analyzed for stability. The corrugations are transverse to the axis of revolution. Isotropic and orthotropic shells with sine-shaped meridian under uniform external compression are analyzed for stability. It is shown that the stability of corrugated shells can be significantly improved, compared with cylindrical shells, by selecting appropriate number and amplitude of half-waves. A relationship between the buckling modes and the change in the critical loads is established
Similar content being viewed by others
References
S. A. Ambartsumyan, General Theory of Anisotropic Shells [in Russian], Nauka, Moscow (1974).
L. E. Andreeva, “Design of corrugated membranes as anisotropic plates,” Inzh. Sb., 31, 128–141 (1955).
G. L. Vanin, N. P. Semenyuk, and R. F. Emel’yanov, Stability of Shells Made of Reinforced Materials [in Russian], Naukova Dumka, Kyiv (1978).
S. K. Godunov, “Numerical solution of boundary-value problems for systems of linear ordinary differential equations,” Usp. Mat. Nauk, 16, No. 3, 171–174 (1961).
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).
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).
V. M. Gulyaev, V. A. Bazhenov, and P. P. Lizunov, Nonclassical Theory of Shells and Its Application to Engineering Problems [in Russian], Vyshcha Shkola, Lviv (1978).
B. Ya. Kantor, Contact Problems in the Nonlinear Theory of Shells of Revolution [in Russian], Naukova Dumka, Kyiv (1990).
A. V. Karmishin, V. A. Lyaskovets, V. I. Myachenkov, and A. N. Frolov, Statics and Dynamics of Thin-Walled Shell Structures [in Russian], Mashinostroenie, Moscow (1975).
V. M. Muratov and A. T. Tubaivskii, “Experimental stability analysis of corrugated shells,” Khim. Neft. Mashinostr., No. 3, 18–20 (1992).
K. E. Tsiolkovsky, “Dirigible, stratoplane, and spaceship,” Grazhd. Aviats., No. 9, 7–8 (1933).
V. I. Feodos’ev, Elastic Elements in Precision Instrument Making [in Russian], Oborongiz, Moscow (1949).
A. V. Boriseiko, N. P. Semenyuk, and V. M. Trach, “Canonical equations in the geometrically nonlinear theory of thin anisotropic shells,” Int. Appl. Mech., 46, No. 2, 165–174 (2010).
D. Buchnell, “Crippling and buckling of corrugated ring-stiffened cylinders,” AIAA J., 9, No. 5, 357–421 (1972).
N. Daxner, T. Fletscher, and F. G. Rammerstorfer, “Optimum design of corrugated board under buckling constraints,” in: 7th World Congr. on Structural and Multidisciplinary Optimization, Seoul (2007), pp. 349–358.
S. Luo, J. C. Suhling, J. M. Considine, and T. L. Laufenberg, “The bending stiffnesses of corrugated board,” Mech. Cellul. Mater., 36, 15–26 (1992).
C. T. F. Ross, “A redesign of the corrugated tin can,” Thin-Wall. Struct., 26, No. 3, 179–193 (1996).
N. P. Semenyuk and I. Yu. Babich, “Stability of longitudinally corrugated cylindrical shells under uniform surface pressure,” Int. Appl. Mech., 43, No. 11, 1236–1247 (2007).
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).
N. P. Semenyuk, V. M. Trach, and V. V. Ostapchuk, “Nonlinear axisymmetric deformation of anisotropic spherical shells,” Int. Appl. Mech., 45, No. 10, 1101–1111 (2009).
N. P. Semenyuk, N. B. Zhukova, and V. V. Ostapchuk, “Stability of corrugated composite noncircular shells under external pressure,” Int. Appl. Mech., 43, No. 12, 1380–1389 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 46, No. 8, pp. 78–89, August 2010.
Rights and permissions
About this article
Cite this article
Babich, I.Y., Zhukova, N.B., Semenyuk, N.P. et al. Stability of circumferentially corrugated cylindrical shells under external pressure. Int Appl Mech 46, 919–928 (2011). https://doi.org/10.1007/s10778-011-0382-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-011-0382-0