'Localised defect modes and a macro-cell analysis for dynamic lattice structures with defects'

作者: A. B. Movchan , S. Haq , N. V. Movchan

DOI: 10.1007/978-1-4020-5401-3_47

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摘要: This paper presents an analysis of inertial lattice structures with periodically distributed defects. Such exhibit stop bands for certain ranges frequencies, prohibiting propagation waves such frequencies through the structure. In engineering literature, this type are referred to as "passive mass dampers". particular, we consider a problem accumulation damage within vibrating micro- The eigensolutions corresponding spectral problem, set sufficiently large macro-cell, sought in form Bloch-Floquet waves. A criterion is introduced forma- tion pattern macro-cell. damaged macro-cell shows new properties, which illustrated use dispersion diagrams. particular attention given highly localised vibration modes associated presence other discussed involves layered materials small variation density (due change porosity from layer layer). We describe analytical algorithm used analyse properties and determine position

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