Elastodynamical properties of Sturmian structured media
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866915731880280064 |
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| author | Lázaro, Mario Niemczynowicz, Agnieszka Siemaszko, Artur García-Raffi, Luis M. |
| author_facet | Lázaro, Mario Niemczynowicz, Agnieszka Siemaszko, Artur García-Raffi, Luis M. |
| contents | 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 structured mechanical systems from a given parameter. The approach is presented in a general form so that it can be applied to waveguides of different nature, as long as they can be modeled with the transfer matrix method. The bulk spectrum is obtained and its fractal nature analyzed. For validation of the theoretical results, three numerical examples are presented. The obtained bulk spectra show different shapes for the studied examples, but they share features which can be explained from the proposed theoretical setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_02548 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Elastodynamical properties of Sturmian structured media Lázaro, Mario Niemczynowicz, Agnieszka Siemaszko, Artur García-Raffi, Luis M. Mathematical Physics Computational Physics 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 structured mechanical systems from a given parameter. The approach is presented in a general form so that it can be applied to waveguides of different nature, as long as they can be modeled with the transfer matrix method. The bulk spectrum is obtained and its fractal nature analyzed. For validation of the theoretical results, three numerical examples are presented. The obtained bulk spectra show different shapes for the studied examples, but they share features which can be explained from the proposed theoretical setting. |
| title | Elastodynamical properties of Sturmian structured media |
| topic | Mathematical Physics Computational Physics |
| url | https://arxiv.org/abs/2105.02548 |