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Parametrically excited oscillations of a rod subject to a nonlinear law of elasticity

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. H. Kauderer, Nichtlineare Mechanik [Russian translation], IL, Moscow (1961).

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  2. V. V. Bolotin, Dynamic Stability of Elastic Systems [in Russian]. GITTL, Moscow (1956).

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  3. Yu. A. Mitropol'skii and B. I. Moiseenkov, Lectures on the Use of Asymptotic Methods for the Solution of Partial Differential Equations [in Russian], In-ta Matematiki Akad Nauk UkrSSR, Kiev (1968).

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  4. A. S. Vol'mir, Stability of Deformed Systems [in Russian], Nauka, Moscow (1967).

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  5. V. N. Chelomei, “On the oscillations of a rod subject to a periodically varying force,” Trudy KAI, No. 8 (1937).

  6. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in Theory of Nonlinear Oscillations [in Russian], Fizmatgiz, Moscow (1963).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Ukraine

    Yu. A. Mitropol'skii, A. A. Berezovskii & N. Turgunov

Authors
  1. Yu. A. Mitropol'skii
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  2. A. A. Berezovskii
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  3. N. Turgunov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 3, pp. 395–400, May–June, 1975.

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Mitropol'skii, Y.A., Berezovskii, A.A. & Turgunov, N. Parametrically excited oscillations of a rod subject to a nonlinear law of elasticity. Ukr Math J 27, 320–323 (1975). https://doi.org/10.1007/BF01092093

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  • DOI: https://doi.org/10.1007/BF01092093

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