Analysis of the measured response of a near-periodic framed shell to a point force reveals that the higher-order azimuthal modes on the shell are significantly localized. A quantitative analysis of the data yielding the spatial attenuation rates, the measured group speeds, and the total measured damping factors for various azimuthal orders is presented. The two principal mechanisms which could account for the spatial attenuation rates, damping and Anderson localization, are investigated. Predictions based on these underlying phenomena are obtained and compared with the measurements. The spatial attenuation rates resulting from damping are typically a factor of 2.3 times too small to account for the measurements, while the spatial localization due to irregularity and the data are in reasonable agreement. This evidence, along with the strongly fluctuating nature of the response, indicates that Anderson localization is the dominant mechanism at work in this system.
Topics
Anderson localization
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