Speaker
Description
Modeling the vibration of large-scale disordered systems presents a significant computational challenge due to the breakdown of translational symmetry. This contribution introduces an efficient numerical framework for characterizing wave propagation in weakly disordered periodic media. Utilizing a Floquet-based approach, we investigate the impact of stochastic structural perturbations, including node displacements and cell wall length variations, within a honeycomb lattice network. The energy band structure is analyzed from two complementary perspectives: a two-scale model featuring spatially localized perturbations, and a globally perturbed periodic model based on small deviations from the ideal geometry. Together, these two approaches elucidate the transition from coherent wave transport to Anderson-type localization as the degree of disorder increases. The proposed framework provides a predictive tool for quantifying how structural irregularities govern band gap degradation and energy redistribution, with direct implications for the acoustic and vibrational design of physical honeycomb sandwich structures.