Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

Calculation of the nonlinear viscoelastic oscillations of an antivibration layer

  • 19 Accesses


It is proposed to use a viscoelastic layer to protect equipment against vibration. The principal quadratic theory of hereditary viscoelasticity is used as the physical relation between the forces and displacements. The solutions obtained for the integrodifferential vibration equation make it possible to minimize the displacements and accelerations of the protected equipment.

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

Literature cited

  1. 1.

    M. Z. Kolovskii, Nonlinear Theory of Antivibration Systems [in Russian], Moscow (1966).

  2. 2.

    A. A. Il'yushin and P. M. Ogibalov, Mekhan. Polim., No. 2, 170 (1966).

  3. 3.

    V. P. Maiboroda, Sb. MIÉM. Mekhanika, No. 1, 78 (1971).

  4. 4.

    N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Moscow (1958).

  5. 5.

    V. M. Volosov and B. I. Morgunov, Vestn. MGU, No. 4, 110 (1969).

  6. 6.

    A. A. Il'yushin and B. E. Pobedrya, Fundamentals of the Mathematical Theory of Thermoviscoelasticity [in Russian], Moscow (1970).

  7. 7.

    M. A. Koltunov, Mekhan. Polim., No. 4, 625 (1967).

  8. 8.

    A. N. Filatov, Averaging in Differential and Integrodifferential Equations [in Russian], Tashkent (1967).

Download references

Additional information

Moscow Institute of Electronic-Machine Building. Translated from Mekhanika Polimerov, No. 2, pp. 321–326, March–April, 1972.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Maiboroda, V.P., Morgunov, B.I. Calculation of the nonlinear viscoelastic oscillations of an antivibration layer. Polymer Mechanics 8, 282–287 (1972).

Download citation


  • Physical Relation
  • Viscoelastic Layer
  • Vibration Equation
  • Quadratic Theory
  • Hereditary Viscoelasticity