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• W2037244771 abstract "We consider the problem of localized flexural waves in thin plates that have periodic structure, consisting of a two-dimensional array of pins or point masses. Changing the properties of the structure at a single point results in a localized mode within the band-gap that is confined to the vicinity of the defect, while changing the properties along an entire line of points results in a waveguide mode. We develop here an analytic theory of these modes and provide semi-analytic expressions for the eigenfrequencies and fields of the point defect states, as well as the dispersion curves of the defect waveguide modes. The theory is based on a derivation of Green's function for the structure, which we present here for the first time. We also consider defects in finite arrays of point masses, and demonstrate the connection between the finite and infinite systems." @default.
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• W2037244771 date "2012-01-04" @default.
• W2037244771 modified "2023-10-10" @default.
• W2037244771 title "Analytic theory of defects in periodically structured elastic plates" @default.
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• W2037244771 doi "https://doi.org/10.1098/rspa.2011.0609" @default.
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