Parameter-dependent fractal spectra in quasiperiodic metastructures with elastic and rigid segments

Abstract

Periodic structures exhibit unique dynamic behaviors that are strongly influenced by their structural organization. The structural periodicity leads to wave phenomena similar to those in crystallography, including Bragg scattering and band gap formation. These engineered systems, known as metastructures, allow enhanced control over mechanical wave propagation and have been widely studied for applications such as vibration suppression, energy harvesting, and non-invasive testing. By carefully designing and tessellating unit cells, advanced effects can be achieved. Notably, these dynamic phenomena remain robust despite small structural irregularities. This robustness enables the introduction of deterministic disorder through controlled variations in design parameters, creating quasiperiodic structures. Such systems often show spatial localization of vibrational modes, confining energy to specific regions. This tunable behavior supports the development of intelligent structures, offering innovative solutions in various engineering domains.