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Equivalent linearization of systems with distributed parameters

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Literature cited

  1. N. M. Krylov and N. N. Bogolyubov, Application of the Methods of Nonlinear Mechanics to the Theory of Stationary Vibrations [in Russian], Izd. Vce-Ukr. Akad. Nauk, Kiev (1934).

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  2. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Vibrations [in Russian], Gosudarstvennoe Izd. Fizikoraatematicheskoi Literatury, Moscow (1963).

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

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  4. A. A. Berezovskii and Yu. V. Zhernovoi, “Bending stationary waves in bars for a nonlinear law of elasticity,” Ukr. Mat. Zh.,33, No. 4, 493–498 (1981).

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Authors and Affiliations

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

    Yu. A. Mitropol'skii, A. A. Berezovskii & N. R. Konovalova

Authors
  1. Yu. A. Mitropol'skii
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  2. A. A. Berezovskii
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  3. N. R. Konovalova
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 4, pp. 464–471, July–August, 1986.

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Mitropol'skii, Y.A., Berezovskii, A.A. & Konovalova, N.R. Equivalent linearization of systems with distributed parameters. Ukr Math J 38, 396–402 (1986). https://doi.org/10.1007/BF01057297

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  • DOI: https://doi.org/10.1007/BF01057297

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