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Wave propagation and band gaps in homogenized phononic plates — modelling by spectral decomposition

The paper deals with analysis of the elastic waves in the Reissner‐Mindlin type of plates formed by strongly heterogeneous structures. The homogenized plate model involves frequency‐dependent mass coefficients associated with the plate cross‐section rotations and the plate deflections. Intervals of frequencies called band gaps exist for which these coefficients constituting a mass matrix can be negative, so that certain wave modes cannot propagate. A spectral decomposition based method is proposed which is suitable to compute the plate response for an external loading by periodic forces with frequencies in range of the band gaps. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)