Radiation method approach applied to vibrating granular media, extension from microscopic to mesoscopic scales for vibrations mitigation and attenuation.


We consider a collection of individual vibration sources similar to isolated Helmholtz resonators with characteristics that are function of position of resonator. The collective behavior of these resonators can be described by few local parameters. An equivalent temperature and peak radiation frequency and intensity can be determined. Cutoff frequencies for the lowest and highest mode of collective vibrations allow us to estimate the optimum absorption band of vibration frequencies. The results allow the design of specified mechanical vibration absorbers to mitigate unwanted vibrations transmission through especially needed vibration free structures

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