Abstract
The paper presents an analytical solution describing the stability and postbuckling behavior of a cylindrical shell made of an anisotropic material with one plane of symmetry and subjected to torques at the ends. The solution is found using Koiter's buckling theory and the Donnell-Mushtari-Vlasov theory of anisotropic shells. The force and deflection functions are approximated by trigonometric series that satisfy hinged boundary conditions. The system of algebraic equations to which the problem is reduced at the main stage of solution is analyzed. Specific results on stability and sensitivity to imperfections of boron-plastic shells consisting of layers with different reinforcement directions are obtained
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References
S. A. Ambartsumyan, General Theory of Anisotropic Shells [in Russian], Nauka, Moscow (1974).
G. A. Vanin and N. P. Semenyuk, Stability of Shells Made of Composite Materials with Imperfections [in Russian], Naukova Dumka, Kyiv (1987).
N. Yamaki, “Postbuckling and imperfection sensitivity of circular cylindrical shells under compression,” in: W. T. Koiter (ed.), Proc. 14th IUTAM Congr. on Theoretical and Applied Mechanics (Delft, the Netherlands, August 30–September 4, 1976), North-Holland Publ. Comp., Amsterdam-New York-Oxford (1977).
J. Arbosz, “The effect of imperfect boundary conditions on the collapse behavior of anisotropic shells,” Int. J. Solids Struct., 40, No. 46, 47, 6891–6915 (2003).
S. B. Batdorf, M. Stein, and M. Schildcrout, “Critical stress of thin walled cylinders in torsion,” NASA Techn. Note, No. 1344 (1947).
C. Bisagni and P. Cordisco, “Postbuckling collapse experiments of stiffened composite cylindrical shells subjected to axial loading and torque,” Comp. Struct., No. 2, 138–149 (2006).
B. Budiansky, “Post-buckling behavior of cylinders in torsion,” in: E. J. Niordson (ed.), Proc. 2nd IUTAM Symp. on Theory of Thin Shells, Springer-Verlag, Berlin (1969), pp. 212–233.
B. Budiansky, “Theory of buckling and post-buckling behavior of elastic structures,” Adv. Appl. Mech., 14, 2–65 (1974).
J. W. Hutchinson and J. C. Amazigo, “Imperfection sensitivity of eccentrically stiffened cylindrical shells,” AIAA J., 5, 392–401 (1967).
W. T. Koiter, “Elastic stability and postbuckling behavior,” in: R. E. Langee (ed.), Proc. Symp. on Nonlinear Problems, Univ. Press, Madison (1963), pp. 257–275.
R. Mao and C.-H. Lu, “Buckling analysis of a lamination cylindrical shells under torsion subjected to mixed boundary conditions,” Int. J. Solids Struct., 36, No. 25, 3821–3835 (1999).
H.-K. Meyer-Piening, M. Farshad, B. Geier, and R. Zimmermann, “Buckling loads of CFRP composite cylinders under combined axial and torsion loading—experiments and computations,” Comp. Struct., No. 4, 427–435 (2001).
M. P. Nemeth, “Nondimensional parameters and equations for buckling of anisotropic shallow shells,” J. Appl. Mech., 61, No. 3, 664–669 (1994).
D. Shaw and G. J. Simitses, “Imperfect laminate cylindrical shells in torsion and axial compression,” Acta Astronautica, 10, No. 5–6, 395–400 (1982).
N. P. Semenyuk, Yu. Ya. Dushek, and V. M. Trach, “Stability of cylindrical composite shells under torsion,” Int. Appl. Mech., 41, No. 10, 1170–1176 (2005).
N. P. Semenyuk and V. M. Trach, “Stability of axially compressed cylindrical shells made of reinforced materials with specific fiber orientation within each layer,” Int. Appl. Mech., 42, No. 3, 318–324 (2006).
N. P. Semeyuk and V. M. Trach, “Stability and postbuckling behavior of anisotropic cylindrical shells under external pressure,” Int. Appl. Mech., 43, No. 3, 314–328 (2007).
A. Tabici and G. J. Simitses, “Buckling of moderately thick, laminated cylindrical shells under torsion,” AIAA J., 32, No. 3, 639 (1994).
V. M. Trach, “Stability of cylindrical shells with one plane of elastic symmetry under axial compression and torsion,” Int. Appl. Mech., 42, No. 8, 943–947 (2006).
V. M. Trach, “Stability of conical shells made of composites with one plane of elastic symmetry,” Int. Appl. Mech., 43, No. 6, 662–669 (2007).
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 1, pp. 48–73, January 2008.
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Semenyuk, N.P., Trach, V.M. & Zhukova, N.B. Stability and initial postbuckling behavior of anisotropic cylindrical shells subject to torsion. Int Appl Mech 44, 41–60 (2008). https://doi.org/10.1007/s10778-008-0015-4
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DOI: https://doi.org/10.1007/s10778-008-0015-4