Locally resonant acoustic metamaterial panels: 3D versus 2D modelling approaches

Abstract

Locally resonant acoustic metamaterial (LRAM) panel designs have been regarded as potential solutions to attenuate flexural waves in lightweight (mostly thin) structures. Two-dimensional (2D) simplification modeling is often adopted for reducing analysis cost of 3D LRAM panels with consistent cross-sections along the width direction, based on the infinite width assumption. The applicability of such reduction strategy are evaluated in details. Comparative analyses between 3D and 2D modeling are carried out on a typical LRAM panel design. The results suggest the unit cell width-to-length ratio to be over 10 for applying the dimensionality reduction approach.