Abstract
A systematic approach to the study of normal modes and frequencies of disordered periodic rods is presented within a new transfer matrix framework proposed earlier by the authors. The normal frequency structure and mode localization of multiply-disorder periodic rods are investigated. The Monte Carlo and the perturbation method are applied to study the effects of material parameter uncertainties on normal modes and frequencies of randomly-disordered periodic rods. Some intricate aspects are investigated statistically, and it is shown that for this strongly-coupled elastic system, multiple and/or random disorders lead to more localized modes in or near stop-bands in a more complex way. In addition, high frequency wave localization is a typical feature of such a strongly-coupled but randomly-disordered periodic rod system.
| Original language | American English |
|---|---|
| Pages (from-to) | 339-358 |
| Number of pages | 20 |
| Journal | Wave Motion |
| Volume | 20 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1994 |
ASJC Scopus subject areas
- Modeling and Simulation
- Physics and Astronomy(all)
- Computational Mathematics
- Applied Mathematics