Advertisement

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

Investigation of physically and geometrically nonlinear osciliations of viscoelastic plates and shells by the averaging method

  • 21 Accesses

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

Literature Cited

  1. 1.

    F. B. Badalov, The Method of Power Series in the Nonlinear Hereditary Viscoelasticity Theory [in Russian], Fan, Tashkent (1980).

  2. 2.

    F. B. Badalov, G. Sh. Shadmanov, and N. Yu. Khuzhayarov, “Oscillations of viscoelastic plates and shells with physically and geometrically nonlinear characteristics,” in: The Mechanics of Deformable Solids [in Russian], Fan, Tashkent (1981), pp. 35–42.

  3. 3.

    A. S. Vol'mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972).

  4. 4.

    A. A. Il'yushin and B. E. Pobedrya, Foundations of the Mathematical Theory of Thermal Viscoelasticity [in Russian], Nauka, Moscow (1971).

  5. 5.

    Ya. F. Kayuk and V. K. Khizhnyak, “An analytic method for solving nonlinear problems of the bending of plates”, Prikl. Mekh.,17, No. 1, 51–57 (1982).

  6. 6.

    I. G. Malkin, Theory of Stability of Motion [in Russian], Nauka, Moscow (1966).

  7. 7.

    A. N. Filatov, Averaging Methods in Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1971).

  8. 8.

    A. N. Filatov, Asymptotic Methods in the Theory of Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1974).

  9. 9.

    Kh. Éshmatov and P. Kurbanov, “Parametric oscillations of an elastoplastic bar”, Mekh. Polim., No. 3, 470–476 (1975).

Download references

Additional information

Tashkent Polytechnic Institute. Translated from Prikladnaya Mekhanika, Vol. 21, No. 3, pp. 61–68, March, 1985.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Badalov, F.B., Éshmatov, K. & Anzhiev, B. Investigation of physically and geometrically nonlinear osciliations of viscoelastic plates and shells by the averaging method. Soviet Applied Mechanics 21, 263–269 (1985). https://doi.org/10.1007/BF00888937

Download citation

Keywords

  • Average Method
  • Viscoelastic Plate