Stability of corrugated composite noncircular cylindrical shells under external pressure

  • N. P. Semenyuk
  • N. B. Zhukova
  • V. V. Ostapchuk


Cylindrical shells consisting of cylindrical panels of smaller radius and subjected to uniform external pressure are analyzed for stability. The geometrical parameters of the shells are approximated by Fourier series on a discrete set of points. The Timoshenko theory of shells is used. The solution is represented in the form of trigonometric series. It is shown that short-and medium-length shells with cylindrical panels are advantageous over circular shells. By selecting appropriate parameters of the panels, keeping the mass of the shell constant, it is possible to achieve a significant gain in critical loads. The shells under consideration are less effective than isotropic shells. Shells with sinusoidal corrugation under external pressure are of no practical interest


stability shells panels composite materials external pressure buckling load buckling mode 


  1. 1.
    L. E. Andreeva, “Design of corrugated membranes as anisotropic plates,” Inzh. Sborn., 21, 128–141 (1955).Google Scholar
  2. 2.
    G. I. Brankov, “Toward a theory of wavy shells,” Int. Appl. Mech., 34, No. 4, 334–339 (1998).Google Scholar
  3. 3.
    G. A. Vanin and N. P. Semenyuk, Stability of Composite Shells with Imperfections [in Russian], Naukova Dumka, Kyiv (1987).Google Scholar
  4. 4.
    L. H. Donnell, Beams, Plates and Shells, McGraw Hill, New York (1976).zbMATHGoogle Scholar
  5. 5.
    Kh. M. Mushtari and K. Z. Galimov, Nonlinear Theory of Elastic Shells [in Russian], Tatknigaizdat, Kazan (1957).Google Scholar
  6. 6.
    V. V. Novozhilov, Theory of Thin Shells [in Russian], Sudpromgiz, Leningrad (1962).Google Scholar
  7. 7.
    N. P. Semenyuk, “Stability of noncircular cylindrical shells under axial compression,” Int. Appl. Mech., 20, No. 9, 813–821 (1984).zbMATHGoogle Scholar
  8. 8.
    N. P. Semenyuk, “Stability of axially compressed noncircular cylindrical shells consisting of panels of constant curvature,” Int. Appl. Mech., 39, No. 6, 726–735 (2003).CrossRefMathSciNetGoogle Scholar
  9. 9.
    V. I. Shalashilin, “Stability and postcritical deformation of corrugated cylindrical shells,” Izv. AN SSSR, Mekh., No. 3, 131–135 (1965).Google Scholar
  10. 10.
    Ya. M. Grigorenko and S. N. Yaremchenko, “Refined design of corrugated noncircular cylindrical shells,” Int. Appl. Mech., 41, No. 1, 7–13 (2005).CrossRefGoogle Scholar
  11. 11.
    Ya. M. Grigorenko, A. Ya. Grigorenko, and L. I. Zakhariichenko, “Stress analysis of noncircular cylindrical shells with cross section in the form of connected convex half-corrugations,” Int. Appl. Mech., 42, No. 4, 431–438 (2006).CrossRefGoogle Scholar
  12. 12.
    Ya. M. Grigorenko, A. Ya. Grigorenko, and L. I. Zakhariichenko, “Stress-strain solutions for circumferentially corrugated elliptic cylindrical shells,” Int. Appl. Mech., 42, No. 9, 1021–1028 (2006).CrossRefGoogle Scholar
  13. 13.
    Ya. M. Grigorenko and L. V. Kharitonova, “Solution of the deformation problem for flexible noncircular cylindrical shells subject to bending moments at the edges,” Int. Appl. Mech., 42, No. 11, 1278–1284 (2006).CrossRefGoogle Scholar
  14. 14.
    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).CrossRefGoogle Scholar
  15. 15.
    N. P. Semenyuk and N. A. Neskhodovskaya, “Timoshenko-type theory in the stability analysis of corrugated cylindrical shells,” Int. Appl. Mech., 38, No. 6, 723–730 (2002).CrossRefGoogle Scholar
  16. 16.
    N. P. Semenyuk and N. A. Neskhodovskaya, “On design models in stability problems for corrugated cylindrical shells,” Int. Appl. Mech., 38, No. 10, 1245–1252 (2002).CrossRefGoogle Scholar
  17. 17.
    K. P. Soldalos, “Mechanics of cylindrical shells with non-circular cross-section: A survey,” Appl. Mech. Rev., 52, No. 8, 237–273 (1999).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • N. P. Semenyuk
    • 1
  • N. B. Zhukova
    • 1
  • V. V. Ostapchuk
    • 1
  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine

Personalised recommendations