The frequency and mode of free vibrations of thin isotropic triangular plates with a central hole for different boundary conditions are determined using the finite-element method. The topology of vibration modes for some plates is presented compared with square plates with hinged and clamped edges. To validate the numerical values of the natural frequencies and modes of triangular plates, an experimental method is proposed. It demonstrates a good agreement of the results with an error less than 6%.
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*This study was sponsored by the budgetary program Support of Priority Areas of Research (KPKVK 6541230).
Translated from Prikladnaya Mekhanika, Vol. 57, No. 5, pp. 46–56, September–October 2021.
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Grigorenko, O.Y., Borisenko, M.Y., Boichuk, O.V. et al. Free Vibrations of Triangular Plates with a Hole*. Int Appl Mech 57, 534–542 (2021). https://doi.org/10.1007/s10778-021-01104-3
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DOI: https://doi.org/10.1007/s10778-021-01104-3