Determination of Natural Frequencies of Transverse Vibration in Thin Rectangular FG Plates with the Presence of Gaps in Their Domain
DOI:
https://doi.org/10.70567/mc.v41i3.13Keywords:
rectangular plates, vibrations, natural frequencies, holes, RitzAbstract
In the present work, we seek to determine the natural frequency coefficients of transverse vibration of thin rectangular FG plates, with continuous variation of their mechanical properties throughout their thickness and presence of voids in their domain. FG plates owe their name to the fact that they are built with functionally graded materials. The proposed analysis is a continuation of works presented previously that adds the presence of singularities in the domain of the plate, given by the existence of one or more rectangular holes, which are necessary due to different design requirements. To obtain these values, numerical modeling is used, through the application of the Ritz method and the finite element method. In cases where it is possible, the values obtained are compared with those found in the available technical-scientific literature.
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