Abstract
The bending vibrations of polygonal (L-shaped) plates with different shapes and boundary conditions are studied. The natural frequencies are calculated using the inverse-iteration and Kantorovich-Vlasov methods. To take the configuration of the domain into account, the fictitious domain method and an analog of the force method of structural mechanics are used. Different trends in the dependence of the lowest natural frequency of an L-shaped plate on its geometry are illustrated for different boundary conditions.Acorrelation between the extreme values of the bending frequency and some relations for the energy characteristics of the plate is established
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 5, pp. 63–72, May 2007.
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Bespalova, E.I. Vibrations of polygonal plates with various boundary conditions. Int Appl Mech 43, 526–533 (2007). https://doi.org/10.1007/s10778-007-0050-6
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DOI: https://doi.org/10.1007/s10778-007-0050-6