5 April 2017 A mechanical power dissipation model for axially loaded metamaterial bars
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Elastic metamaterials are sub-wavelength structures with locally resonant components that contribute to the rise of tunable stop bands, i.e. frequency ranges within which waves do not propagate. A new approach is presented here to quantify this stop band behavior by evaluating structural vibrational power in the different constituents of locally resonant metamaterials undergoing axial excitations. It is shown that the power flow patterns match wave propagation information extracted from the dispersion analysis of the metamaterial unit cell, and can thus be used to develop an algorithm that numerically predicts stop band frequencies for finite realizations with given dimensions and a known number of cells.
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H. Al Ba'ba'a, H. Al Ba'ba'a, M. Nouh, M. Nouh, } "A mechanical power dissipation model for axially loaded metamaterial bars", Proc. SPIE 10170, Health Monitoring of Structural and Biological Systems 2017, 1017018 (5 April 2017); doi: 10.1117/12.2259980; https://doi.org/10.1117/12.2259980

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