International Applied Mechanics

, Volume 42, Issue 3, pp 318–324 | Cite as

Stability of axially compressed cylindrical shells made of reinforced materials with specific fiber orientation within each layer

  • N. P. Semenyuk
  • V. M. Trach


A technique for stability analysis of anisotropic cylindrical shells is developed. It permits us to examine the cases of reinforcement where the elastic axes of layers do not coincide with the coordinate axes of the shell. The solution is obtained using the mixed equations of the Donnell-Mushtari-Vlasov theory of shells. The deflection and force functions are approximated by trigonometric series. Single-layer and multilayer cylindrical shells with fiber orientation of two types are analyzed for stability. It is revealed that when layers are few, failure to incorporate the direction of fibers in layers into the design model results in highly inaccurate values of critical loads


stability of anisotropic cylindrical shells Donnell-Mushtari-Vlasov theory of shells axial compression fiber orientation within layers two types of fiber orientation deflection and force functions critical load 


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  1. 1.
    S. A. Ambartsumyan, General Theory of Anisotropic Shells [in Russian], Nauka, Moscow (1974).Google Scholar
  2. 2.
    G. A. Vanin and N. P. Semenyuk, Stability of Composite Shells with Imperfections [in Russian], Naukova Dumka, Kiev (1987).Google Scholar
  3. 3.
    V. I. Korolev, Laminated Anisotropic Plates and Shells Made of Reinforced Plastics [in Russian], Mashgiz, Moscow (1965).Google Scholar
  4. 4.
    R. M. Christensen, Mechanics of Composite Materials, New York, Wiley (1979).Google Scholar
  5. 5.
    V. I. Mikisheva, “Optimal winding of glassfiber-reinforced plastic shells subjected to external pressure or axial compression,” Mekh. Polim., No. 5, 864–875 (1968).Google Scholar
  6. 6.
    R. B. Rikards and G. A. Teters, Stability of Composite Shells [in Russian], Zinatne, Riga (1974).Google Scholar
  7. 7.
    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).CrossRefGoogle Scholar
  8. 8.
    N. P. Semenyuk, V. M. Trach, and A. V. Podvornyi, “Analytical solutions of nonlinear static problems for threads of finite stiffness under active loading,” Int. Appl. Mech., 41, No. 6, 682–688 (2005).CrossRefGoogle Scholar
  9. 9.
    V. M. Trach and A. V. Podvornyi, “Stability of laminated shells made of materials with one plane of elastic symmetry,” Int. Appl. Mech., 40, No. 5, 573–579 (2004).zbMATHCrossRefGoogle Scholar
  10. 10.
    N. P. Semenyuk and V. M. Trach, “Allowing for rotations about the normal in nonlinear theories of shells,” Int. Appl. Mech., 40, No. 6, 694–701 (2004).zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • N. P. Semenyuk
    • 1
  • V. M. Trach
    • 1
  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKiev

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