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Applicability of the method of averaging for investigations of nonlinear vibrations of rectangular plates

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods for Nonlinear Vibrations [in Russian], Fizmatgiz, Moscow (1963).

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  2. Yu. A. Mitropol'skii, Lectures on the Methods of Averaging in Linear Mechanics [in Russian], Naukova Dumka, Kiev (1966).

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  3. M. M. Bataakov, Theory of Vibrations [in Russian], Nauka, Moscow (1968).

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  4. S. N. Timoshenko, Vibrations in Engineering [in Russian], Fizmatgiz, Moscow (1967).

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  5. S. O. Vasilishin, “Application of the method of averaging to the solution of mixed problems for nonlinear hyperbolic equations,” Ukr. Matem. Zh.,18, No. 2 (1966).

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Authors and Affiliations

  1. Chernigovka Higher Military Aviation Pilots Academy, USSR

    P. A. Bondarev

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  1. P. A. Bondarev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 23, No. 5, pp. 669–673, September–October, 1970.

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Bondarev, P.A. Applicability of the method of averaging for investigations of nonlinear vibrations of rectangular plates. Ukr Math J 22, 575–578 (1970). https://doi.org/10.1007/BF01086527

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  • DOI: https://doi.org/10.1007/BF01086527

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