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Calculation of nonlinear vibrations of a viscoelastic bar

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Abstract

The problem of forced nonlinear vibrations of a viscoelastic bar is reduced by the Bubnov—Galerkin method to a nonlinear integro-differential equation. Transverse vibrations with small amplitude are considered, and therefore the approximate solution is constructed by the small-parameter method.

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Literature cited

  1. A. S. Vol'mir, Flexible Plates and Shells [in Russian], Moscow (1956).

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

  3. I. G. Mal'kin, Some Problems of the Theory of Nonlinear Vibrations [in Russian], Moscow (1956).

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Authors
  1. N. I. Ivanova
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  2. B. I. Morgunov
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  3. I. E. Troyanovskii
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Additional information

Moscow Institute of Electronic Machinery. Translated from Mekhanika Polimerov, No. 3, pp. 561–564, May–June, 1974.

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Ivanova, N.I., Morgunov, B.I. & Troyanovskii, I.E. Calculation of nonlinear vibrations of a viscoelastic bar. Polymer Mechanics 10, 481–483 (1974). https://doi.org/10.1007/BF00865619

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  • DOI: https://doi.org/10.1007/BF00865619

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