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Forced, geometrically nonlinear vibrations of a viscoelastic body

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Polymer Mechanics Aims and scope

Abstract

The periodic solution of a system of nonlinear integrodifferential equations encountered in connection with the study of the forced vibrations of a viscoelastic body in the geometrically nonlinear formulation is constructed by successive approximations.

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Literature cited

  1. M. A. Koltunov and I. E. Troyanovskii, Mekh. Polim., No. 2, 234 (1975).

  2. R. Bellman, Introduction to Matrix Analysis, McGraw-Hill, New York (1960).

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  3. I. E. Troyanovskii, Mekh. Polim., No. 5, 927 (1973).

  4. A. S. Kravchuk, B. I. Morgunov, and I. E. Troyanovskii, Mekh. Polim., No. 4, 689 (1974).

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Additional information

Moscow Institute of Electronic Machine Building. Translated from Mekhanika Polimerov, No. 3, pp. 464–469, May–June, 1975.

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Koltunov, M.A., Morgunov, B.I. & Troyanovskii, I.E. Forced, geometrically nonlinear vibrations of a viscoelastic body. Polymer Mechanics 11, 393–397 (1975). https://doi.org/10.1007/BF00863987

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  • DOI: https://doi.org/10.1007/BF00863987

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