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Numerical Evaluation of Frequencies and the Modes of Free Vibrations of Isosceles Triangular Plates with Free Edges

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Free vibrations are analyzed for isotropic plates in the form of isosceles triangles. We deduce the formula for the evaluation of the frequencies of free vibrations for plates of regular triangular shape with free edges and compute the coefficients of vibration mode and boundary conditions. The frequencies and modes of free vibrations of the isotropic thin isosceles triangular plates with free edges and different apex angles are computed by the finite-element method.

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Authors and Affiliations

  1. S. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    O. Ya. Grigorenko & M. Yu. Borysenko

  2. Mykolaiv National Agricultural University, Mykolaiv, Ukraine

    O. V. Boychuk

Authors
  1. O. Ya. Grigorenko
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  2. M. Yu. Borysenko
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  3. O. V. Boychuk
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Correspondence to O. Ya. Grigorenko.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 3, pp. 28–39, July–September, 2020.

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Grigorenko, O.Y., Borysenko, M.Y. & Boychuk, O.V. Numerical Evaluation of Frequencies and the Modes of Free Vibrations of Isosceles Triangular Plates with Free Edges. J Math Sci 273, 27–43 (2023). https://doi.org/10.1007/s10958-023-06481-3

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