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Longitudinal-transversal vibrations of viscoelastic rods with consideration of physical and geometric nonlinearities

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. A. R. Rzhanitsyn, The Theory of Creep [in Russian], Stroiizdat, Moscow (1968).

    Google Scholar 

  2. H. Kauderer, Nonlinear Mechanics [Russian translation], IL, Moscow (1961).

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

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  4. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], 4th Edition, Nauka, Moscow (1974).

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  5. Yu. A. Mitropol'skii, The Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).

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

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Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the USSR, USSR

    Yu. A. Mitropol'skii, A. A. Berezovskii & I. Kurbanov

Authors
  1. Yu. A. Mitropol'skii
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  2. A. A. Berezovskii
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  3. I. Kurbanov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 5, pp. 629–638, September–October, 1976.

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Mitropol'skii, Y.A., Berezovskii, A.A. & Kurbanov, I. Longitudinal-transversal vibrations of viscoelastic rods with consideration of physical and geometric nonlinearities. Ukr Math J 28, 488–495 (1976). https://doi.org/10.1007/BF01095208

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  • DOI: https://doi.org/10.1007/BF01095208

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