Skip to main content
Log in

Method of discrete approximation of the functional in stability problems of shells of revolution

  • 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. D. V. Babich and A. S. Strel'chenko, “Stability of variable-thickness shells of revolution,” Stability of Spatial Structures [in Russian], Kiev Structural Engineering Institute, Kiev, 48–51 (1978).

    Google Scholar 

  2. V. V. Bolotin, “On reduction of three-dimensional problems of elastic stability theory to one- and two-dimensional problems,” Trans. All-Union Conf. on Stability Problems in Struct. Mech, Moscow, 1–5 October, 1963, 166–179, Moscow (1965).

  3. V. V. Gaidaichuk, E. A. Gotsulyak, and V. I. Gulyaev, “Bifurcation of solutions of nonlinear toroidal shell equations under the effect of external pressure,” Prikl. Mekh.,14, No. 9, 38–45 (1978).

    Google Scholar 

  4. E. I. Grigolyuk and V. V. Kabanov, Shell Stability [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  5. L. Collacz, Eigenvalue Problems [Russian translation], Nauka, Moscow (1968).

    Google Scholar 

  6. Yu. V. Lipovtsev, “Difference method of solving stability problems of shells of revolution,” Theory of Plates and Shells [in Russian], 166–172, Nauka, Moscow (1971).

    Google Scholar 

  7. A. Z. Lokshin, V. A. Postnov, and B. N. Slavorotsov, “On the question of the influence of boundary conditions on the stability of an orthotropic cylindrical shell subjected to the action of transverse and longitudinal pressure,” Report to the Fourteenth Sci.-Tech. Conf. on Struct. Mech. of Ships, Leningrad, June, 1966 [in Russian], Leningrad, 119–124 (1966).

  8. V. I. Myachenkov, “Stability of orthotropic shells of revolution subjected to axisymmetric loads,” Izv. Akad. Nauk SSSR, Mekhan. Tverd. Tela, No. 1, 106–113 (1968).

    Google Scholar 

  9. A. A. Samarskii and V. B. Andreev, Difference Methods for Elliptic Equations [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  10. A. V. Karmishin, V. A. Lyaskovets, V. I. Myachenkov, and A. N. Frolov, Statics and Dynamics of Thin-Walled Shell Structures [in Russian], Mashinostroenie, Moscow (1975).

    Google Scholar 

Download references

Authors

Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 19, No. 2, pp. 38–44, February, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Babich, D.V. Method of discrete approximation of the functional in stability problems of shells of revolution. Soviet Applied Mechanics 19, 126–131 (1983). https://doi.org/10.1007/BF00882329

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00882329

Keywords

Navigation