Stochastic sensitivity analysis of a panel speaker structure with a locally resonant material

A design optimization based on topology optimization was recently applied to a panel speaker structure to create band gaps using locally resonant metamaterials (LRMs). However, under practical environment, deterministically optimized designs cannot always perform as expected. This undesirable phenomenon occurs due to uncertainties such as variations of material properties or misplacement of resonators.

The uncertainties should be considered during the optimization process to obtain reliable designs. To tackle the probabilistic problem in the design optimization under uncertainties, a stochastic sensitivity analysis must be preceded. This study aims to investigate the effects of uncertainties and analyze sensitivities of uncertainties concerning the performance of an LRM for further optimization.