Vibrations of thin tolerance-periodic plates

In this contribution, linear-elastic thin plates with a tolerance-periodic structure in planes parallel to the plate midplane are considered. It is assumed that their averaged (macroscopic) properties are described by continuous, slowly-varying functions. Hence, plates of this kind can be treated as plates with a functionally graded structure. Here, free vibrations frequencies of a plate band are calculated within the proposed averaged model using the finite differences method. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)