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Vibrations of thin tolerance‐periodic plates
Author(s) -
Wirowski Artur,
Jędrysiak Jarosław,
Kaźmierczak Magda
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010078
Subject(s) - vibration , materials science , environmental science , physics , acoustics
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)