Abstract
A method of calculating a viscoelastic shock-absorbing device or structure by the method of averaging systems of integro-differential equations is considered. The principal quadratic theory of hereditary viscoelasticity is used as the physical relationship between forces and displacements of the shock-absorbing base or structure.
Literature cited
A. A. Il'yushin and P. M. Ogibalov, Mekhan. Polim., No. 2, 170 (1966).
V. P. Maiboroda and B. I. Morgunov, Mekhan. Polim., No. 2, 321 (1972).
V. P. Maiboroda, B. I. Morgunov, and M. A. Koltunov, Mekhan. Polim., No. 1, 124 (1972).
A. N. Filatov, Averaging in Differentiation and Integro-differential Equations [in Russian], Tashkent (1967).
V. M. Volosov and B. I. Morgunov, Vestn. MGU, 4, 92 (1969).
A. A. Il'yushin and B. E. Pobedrya, Principles of the Mathematical Theory of Thermoviscoelasticity [in Russian], Moscow (1970).
V. P. Maiboroda, Collection of Papers of the Moscow Institute of Electronic Machine Construction, Mechanics [in Russian], Vol. 1 (1971), p. 37.
M. A. Koltunov, Mekhan. Polim., No. 4, 483 (1966).
Additional information
Moscow Institute of Electronic Machine Construction. Translated from Mekhanika Polimerov, No. 4, pp. 730–737, July–August, 1972.
Rights and permissions
About this article
Cite this article
Maiboroda, V.P., Koltunov, M.A. & Morgunov, B.I. Vibrations of a shock-absorbing device on a nonlinear viscoelastic base. Polymer Mechanics 8, 635–641 (1972). https://doi.org/10.1007/BF00855597
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00855597