Ukrainian Mathematical Journal

, Volume 22, Issue 5, pp 575–578 | Cite as

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

  • P. A. Bondarev


Rectangular Plate Nonlinear Vibration 
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Literature cited

  1. 1.
    N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods for Nonlinear Vibrations [in Russian], Fizmatgiz, Moscow (1963).Google Scholar
  2. 2.
    Yu. A. Mitropol'skii, Lectures on the Methods of Averaging in Linear Mechanics [in Russian], Naukova Dumka, Kiev (1966).Google Scholar
  3. 3.
    M. M. Bataakov, Theory of Vibrations [in Russian], Nauka, Moscow (1968).Google Scholar
  4. 4.
    S. N. Timoshenko, Vibrations in Engineering [in Russian], Fizmatgiz, Moscow (1967).Google Scholar
  5. 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).Google Scholar

Copyright information

© Consultants Bureau 1971

Authors and Affiliations

  • P. A. Bondarev
    • 1
  1. 1.Chernigovka Higher Military Aviation Pilots AcademyUSSR

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