Investigating wave-guiding effects, tuning mechanisms for bandgap, and nonlinearities induced by sloshing in fluid-filled phononic crystals and acousto-elastic metamaterials

Abstract

This research project is proposed for a one-year research internship abroad (BEPE) during the doctoral studies of Vinícius Mauro de Souza Santos, who is funded by FAPESP under grant number #23/11207-7. It will be conducted at UBFC, in the Franche-Comté Electronique Mécanique Thermique et Optique - Sciences et Technologies (FEMTO-ST) Institut, located in Besançon, France, under the supervision of Prof. Morvan Ouisse, who has extensive expertise in vibroacoustics, structural dynamics, smart structures, phononic crystals (PCs), and acoustic metamaterials. The main objectives of this research are to investigate wave-guiding effects, tuning mechanisms for bandgap position and width, and nonlinearities induced by sloshing in fluid-filled PCs and elastic metamaterials (EMs), aiming to control wave propagation characteristics through elastic media. To accomplish these, investigations will rely on models developed using wave propagation methods, such as the Wave-based Finite Element Method (WFEM), whereas the traditional FEM will be adopted to tackle systems including nonlinearities owed to sloshing. Experiments will be performed to validate, at least partially, observed vibratory behaviors; and/or to reveal phenomena that are not adequately captured by models. By performing such investigations, one hopes to foster alternative means to mitigate undesirable vibrations in real-life structures, possibly leading to safer operational conditions and enhanced structural durability - whilst leveraging behaviors stemming from periodic structures of the considered types.