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

Analysis of parametric oscillations of shells of revolution with variable parameters

  • 12 Accesses

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

Literature Cited

  1. 1.

    E. A. Beilin and G. Yu. Dzhanelidze, “Review of studies on the dynamic stability of elastic systems”, Prikl. Mat. Mekh.,16 No. 5, 635–648 (1952).

  2. 2.

    E. I. Bespalova, Ya. M. Grigorenko, A. B. Kitaigorodskii, and A. I. Shinkar', “Examination of free oscillations of orthotropic shells of revolution with variable parameters”, Prikl. Mekh.,14, No. 8, 43–50 (1978).

  3. 3.

    V. V. Bolotin, Dynamic Stability of Elastic Systems [in Russian], Gostekhizdat, Moscow (1956).

  4. 4.

    A. T. Vasilenko, G. P. Golub, Ya. M. Grigorenko, and A. I. Shinkar', “Solution of problems of statics of multilayer shells of revolution with orthotropic layers of variable thickness”, Prikl. Mekh., 6,No. 2, 12–17 (1970).

  5. 5.

    A. T. Vasilenko, Ya. M. Grigorenko, and P. N. Cherin'ko, “Dynamic stability of orthotropic shells of revolution of variable thickness”, Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 10, 28–31 (1984).

  6. 6.

    Ya. M. Grigorenko and A. T. Vasilenko, “Theory of variable stiffness shells”, in: Methods of Calculating Shells [in Russian], in five volumes, vol. 4, Naukova Dumka Kiev (1981).

  7. 7.

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

  8. 8.

    P. N. Cherin'ko, “Numerical examination of dynamic stability of shells of revolution with variable parameters”, in: Proceedings of 10th Scientific Conference of Young Scientists of the Institute of Mechanics of the Academy of Sciences of the Ukrainian SSR, Deposited at All-Union Institute of Scientific and Technical Information, 30.07.84, No. 5535-84 Dep., Kiev (1984), pp. 298–302.

  9. 9.

    H. Schmidt, Parametric Oscillations [Russian translation], Mir, Moscow (1978).

Download references

Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 24, No. 4, 52–57, April, 1988.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Vasilenko, A.T., Cherin'ko, P.N. Analysis of parametric oscillations of shells of revolution with variable parameters. Soviet Applied Mechanics 24, 363–367 (1988). https://doi.org/10.1007/BF00883460

Download citation

Keywords

  • Variable Parameter
  • Parametric Oscillation