Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Numerical solution of problems on the deformation of open flexible noncircular cylindrical shells of variable stiffness

  • 14 Accesses

  • 2 Citations

This is a preview of subscription content, log in to check access.

Literature Cited

  1. 1.

    L. V. Andreev, N. I. Obodan, and A. G. Lebedev, “Nonlinear deformation and stability of cylindrical panels in transverse loading,” in: Stability of Three-Dimensional Structures [in Russian], KISI (Kiev Construction Engineering Institute), Kiev (1978), pp. 19–23.

  2. 2.

    R. Bellman and R. Kalaba, Quasilinearization and Nonlinear Boundary-Value Problems [Russian translation], Mir, Moscow (1968).

  3. 3.

    V. Z. Vlasov, Collected Works [in Russian], Vol. 1 of 2 Vols., Izd. Akad. Nauk SSSR, Moscow (1962).

  4. 4.

    A. S. Vol'mir, Flexible Plates and Shells, Gostekhizdat, Moscow (1956).

  5. 5.

    Ya. M. Grigorenko, Isotropic and Anisotropic Shells of Revolution of Variable Stiffness [in Russian], Naukova Dumka, Kiev (1973).

  6. 6.

    Ya. M. Grigorenko, “Solution of a problem on the deformation of a long flexible cylindrical shell with variable parameters,” Dokl. Akad. Nauk Ukr. RSR, Ser. A, No. 5, 418–422 (1977).

  7. 7.

    Ya. M. Grigorenko and N. N. Kryukov, “One approach to the numerical solution of static boundary-value problems for flexible shells,” Dokl. Akad. Nauk Ukr. RSR, Ser. A, No. 4, 21–24 (1982).

  8. 8.

    L. V. Kantorovich and I. V. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow (1962).

  9. 9.

    M. S. Kornishin and F. S. Isanbaeva, Flexible Plates and Panels [in Russian], Nauka, Moscow (1968).

  10. 10.

    V. A. Krys'ko, Nonlinear Statics and Dynamics of Nonuniform Shells [in Russian], Izd. Sarat. Un-ta, Saratov (1976).

  11. 11.

    V. V. Novozhilov, Principles of the Nonlinear Theory of Elasticity, Gostekhizdat, Moscow (1948).

  12. 12.

    P. M. Ogibalov and M. A. Koltunov, Shells and Plates [in Russian], Izd. MGU, Moscow (1969).

  13. 13.

    V. V. Petrov, Method of Successive Loadings in the Nonlinear Theory of Plates and Shells [in Russian], Izd. Sarat. Un-ta, Saratov (1975).

  14. 14.

    Ya. M. Grigorenko A. T. Vasilenko, E. I. Bespalova, et al., Numerical Solution of Static Problems for Orthotropic Shells with Variable Parameters [in Russian], Naukova Dumka, Kiev (1975).

  15. 15.

    L. A. Shapovalov, “Simple variant of the equations of the geometrically nonlinear theory of thin shells,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 1, 56–62 (1968).

Download references

Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 20, No. 11, pp. 71–76, November, 1984.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Kryukov, N.N. Numerical solution of problems on the deformation of open flexible noncircular cylindrical shells of variable stiffness. Soviet Applied Mechanics 20, 1052–1057 (1984). https://doi.org/10.1007/BF00886699

Download citation

Keywords

  • Cylindrical Shell
  • Variable Stiffness
  • Noncircular Cylindrical Shell
  • Flexible Noncircular Cylindrical Shell