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Flexural vibrations of prestressed isotropic plates

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Abstract

We propose a method of solving problems of foreed vibrations of prestressed plates based on the perturbation method and making it possible to solve problems for both low and high frequencies. We describe a method of determining the ground natural frequency.

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Literature Cited

  1. A. S. Kosmodamianskii and S. A. Priimenko, “Forced flexural vibrations of flexible plates,” Preprint, Donetsk, UkrNIINTI, No. 1182-Uk88 (1988).

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  3. A. P. Filippov,Vibrations of Deformable Systems [in Russian], Moscow (1970).

  4. A. S. Kosmodamianskii and G. M. Ivanov,Bending of Thin Multiconnected Plates [in Russian], Donetsk (1973).

  5. P. M. Ogibalov and M. A. Koltunov,Shells and Plates [in Russian], Moscow (1969).

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Authors
  1. A. S. Kosmodamianskii
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  2. A. M. Kravtsov
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  3. S. A. Priimenko
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Additional information

Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 23, 1992, pp. 75–78.

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Kosmodamianskii, A.S., Kravtsov, A.M. & Priimenko, S.A. Flexural vibrations of prestressed isotropic plates. J Math Sci 76, 2397–2399 (1995). https://doi.org/10.1007/BF02362906

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  • DOI: https://doi.org/10.1007/BF02362906

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