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Length‐scale effect in dynamics of hexagonal lattice‐type plates
Author(s) -
Cielecka Iwona,
Jędrysiak Jarosław
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310326
Subject(s) - hexagonal crystal system , isotropy , hexagonal lattice , lattice (music) , lattice constant , vibration , length scale , lattice plane , condensed matter physics , geometry , type (biology) , scale (ratio) , materials science , mathematics , mathematical analysis , physics , crystallography , mechanics , chemistry , optics , geology , diffraction , paleontology , reciprocal lattice , quantum mechanics , antiferromagnetism , acoustics
In the contribution lattice‐type plates with hexagonal structure in plane 0x 1 x 2 are analysed. The aim of the note is to apply a length‐scale model of lattice‐type periodic plates derived within the tolerance averaging method (developed for periodic composites and structures by Woźniak and Wierzbicki (2000)) to analyse vibrations of hexagonal plates. It will be shown that the derived model, taking into account the effect of the periodicity cell size on the overall plate behaviour, is represented by equations with constant coefficients in the form similar to equations for isotropic cases.