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On the theory of the flexural vibrations of a rotating viscoelastic cantilever

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Polymer Mechanics Aims and scope

Abstract

A new solution is worked out for the problem of the flexural vibrations of a viscoelastic cantilever. The method is based on the use of Laplace contour integrals for integration in a complex domain. The dependence of the solutions of the problem on the parameters introduced is investigated. Asymptotic expansions of the integrals at large and small values of the argument are constructed for numerical calculations. Solutions in the form of polynomials are found for particular values of the elastic vibration frequencies and the properties of these solutions are established.

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Literature cited

  1. A. V. Nekrasov and V. M. Marchenko, Elastic Vibrations of Blades [in Russian], Moscow (1964).

  2. V. D. Il'ichev and M. D. Belov, Calculation of the Common Natural Vibration Modes of a Helicopter Blade with Allowance for Centrifugal Forces [in Russian], Moscow (1959).

  3. R. L. Bisplinghoff, et al., Aeroelasticity, Addison-Wesley (1955).

  4. G. S. Pisarenko, Dissipation of Energy in Mechanical Vibrations [in Russian], Kiev (1962).

  5. G. A. Wang Fo Fy, Reinforced-Plastic Structures [in Russian], Kiev (1971).

  6. A. Erdelyi (editor), Higher Transcendental Functions, Vols. 1 and 2, McGraw-Hill.

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Authors
  1. G. A. Wang Fo Fy
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  2. I. G. Pavlov
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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Mekhanika Polimerov, No. 2, pp. 305–311, March–April, 1973.

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Wang Fo Fy, G.A., Pavlov, I.G. On the theory of the flexural vibrations of a rotating viscoelastic cantilever. Polymer Mechanics 9, 262–267 (1973). https://doi.org/10.1007/BF00855046

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  • DOI: https://doi.org/10.1007/BF00855046

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