Elastodynamical properties of Sturmian structured media

• DOI: 10.1016/j.jsv.2021.116539
• Publication Date: 2021-10-18T19:49:12Z
• Authors: M. Lázaro; A. Niemczynowicz; A. Siemaszko; L.M. Garcia-Raffi
• Keywords: Transfer-matrix method (optics); Transfer matrix; Matrix (chemical analysis)

In this paper, wave propagation in structured media with quasiperiodic patterns is investigated. We propose a methodology based on Sturmian sequences for the generation of mechanical systems from given parameter. The approach presented general form so that it can be applied to waveguides different nature, as long they modeled transfer matrix method. bulk spectrum obtained and its fractal nature analyzed. For validation theoretical results, three numerical examples are presented. spectra show shapes studied examples, but share features which explained proposed setting.