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Numerical and experimental analysis of natural vibrations of rectangular plates with variable thickness

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Abstract

It is proposed to solve problems on natural vibrations of rectangular plates of variable thickness under complex boundary conditions using the numerical-analytical spline-collocation method in combination with the discrete-orthogonalization method and the experimental method of holographic interferometry. As a mathematical model, the problem on natural vibrations of a square plate with constant thickness and fixed ends is solved. The approximate solutions obtained are compared with experimental data.

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Authors and Affiliations

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

    A. Ya. Grigorenko

  2. Pedagogical Institute, Nikolaev, Ukraine

    T. V. Tregubenko

Authors
  1. A. Ya. Grigorenko
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  2. T. V. Tregubenko
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Additional information

Translated from Prikladnaya Mekhanika, Vol. 36, No. 2, pp. 131–134, February 2000.

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Grigorenko, A.Y., Tregubenko, T.V. Numerical and experimental analysis of natural vibrations of rectangular plates with variable thickness. Int Appl Mech 36, 268–270 (2000). https://doi.org/10.1007/BF02682003

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  • DOI: https://doi.org/10.1007/BF02682003

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