Skip to main content
Log in

Numerical solution of statics problems of flexible laminar shells with variable parameters

  • Published:
Soviet Applied Mechanics Aims and scope

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. S. A. Ambartsumyan, Theory of Anisotropic Shells [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

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

    Google Scholar 

  3. S. K. Godunov, “On the numerical solution of boundary value problems for systems of linear ordinary differential equations,” Usp. Mat. Nauk,16, No. 3, 171–174 (1961).

    Google Scholar 

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

    Google Scholar 

  5. Ya. M. Grigorenko, “Solution of shell theory problems by numerical analysis methods,” Prikl. Mekh.,20, No. 10, 3–22 (1984).

    Google Scholar 

  6. Ya. M. Grigorenko, A. T. Vasilenko, and N. N. Kryukov, “Numerical solution of problems on the stress state of flexible noncircular cylindrical shells,” Dokl. Akad. Nauk Ukr. SSR, Ser. A., No. 1, 40–44 (1984).

    Google Scholar 

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

    Google Scholar 

  8. Ya. M. Grigorenko and N. N. Kryukov, “Determination of nonaxisymmetric solutions in the problem on the deformation of flexible cylindrical shells under axisymmetric loads,” Dokl. Akad. Nauk Ukr. SSR, Ser. A., No. 8, 42–45 (1984).

    Google Scholar 

  9. Ya. M. Grigorenko, N. N. Kryukov, and T. G. Akhalaya, “Nonaxisymmetric deformation of circular variable-stiffness plates,” Prikl. Mekh.,15, No. 10, 75–80 (1979).

    Google Scholar 

  10. Ya. M. Grigorenko, N. N. Kryukov, G. P. Golub, and V. S. Demyanchuk, “Numerical solution of nonlinear two-dimensional nonaxisymmetric deformation problems of laminar shells of revolution of variable stiffness,” Prikl. Mekh.,20, No. 8, 37–45 (1984).

    Google Scholar 

  11. Ya. M. Grigorenko, N. N. Kryukov, and Kh. Saparov, “Nonaxisymmetric deformation of flexible conical shells of variable thickness,” Prikl. Mekh.,19, No. 5, 29–35 (1983).

    Google Scholar 

  12. Ya. M. Grigorenko and A. P. Mukoed, Solution of Nonlinear Shell Theory Problems on an Electronic Digital Computer [in Russian], Vysshaya Shkola, Kiev (1983).

    Google Scholar 

  13. N. N. Kryukov, “Numerical solution of a nonlinear boundary value problem on the deformation of a closed spherical shell,” Prikl. Mekh.,19, No. 8, 111–113 (1983).

    Google Scholar 

  14. N. N. Kryukov, “On the selection of a rational shell system mode for large displacements,” Probl. Prochn., No. 10, 75–78 (1984).

    Google Scholar 

  15. N. N. Kryukov, “Nonlinear deformation of noncircular orthotropic cylindrical shells of variable stiffness,” Prikl. Mekh.,22, No. 5, 25–28 (1986).

    Google Scholar 

  16. V. V. Novozhilov, Principles of the Nonlinear Theory of Elasticity [in Russian], Gostekhizdat, Moscow (1948).

    Google Scholar 

  17. L. A. Shapovalov, “On a most simple variant of the equations of geometrically nonlinear thin shell theory,” Izv. Akad. Nauk SSSR, Mekh., Tverd. Tela, No. 1, 56–62 (1968).

    Google Scholar 

Download references

Authors

Additional information

The paper is written on the basis of material presented to the Sixth All-Union Congress on Theoretical and Applied Mechanics (Tashkent, September, 1986).

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 23, No. 7, pp. 44–50, July, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grigorenko, Y.M., Kryukov, N.N. Numerical solution of statics problems of flexible laminar shells with variable parameters. Soviet Applied Mechanics 23, 647–652 (1987). https://doi.org/10.1007/BF00887660

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00887660

Keywords

Navigation