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Free vibrations of a viscoelastic beam

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Polymer Mechanics Aims and scope

Abstract

The method of averaging is used to investigate the free transverse vibrations of a viscoelastic beam supported at the ends. The material properties of the beam are described by a certain nonlinear integral equation of Volterra type.

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Literature cited

  1. P. R. Sethna, Proc. 4th U.S. Nat. Congr. Appl. Mech., 2, Berkeley, 1962, Oxford-London-New York-Paris (1962).

  2. A. N. Filatov and L. I. Talipova, Differents. Uravnen., No. 5, 5 (1969).

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

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Authors
  1. T. Kadyrbekov
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Additional information

Institute of Mechanics and Seismic Stability of Structures, Academy of Sciences of the Uzbek SSR, Tashkent. Translated from Mekhanika Polimerov, No. 4, pp. 752–756, July–August, 1971.

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Kadyrbekov, T. Free vibrations of a viscoelastic beam. Polymer Mechanics 7, 677–680 (1971). https://doi.org/10.1007/BF00855220

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  • DOI: https://doi.org/10.1007/BF00855220

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