Abstract

A systematic approach to the study of normal mode shapes and normal frequencies of disordered periodic rods is presented within a new transfer matrix framework proposed by the authors. The normal frequency structure and mode localization of multiplydisordered periodic rods are investigated. Monte Carlo and the perturbation method are applied to study the effects of material parameter uncertainties on normal frequencies and modes of randomly-disordered periodic rods. Some intricate aspects are investigated, and it is shown that for this strongly-coupled elastic system, a single disorder produces one or two additional localized modes in each stop-band, while multiple disorders lead to more localized modes in each stop-band in a more complex way.

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