Effect of Resonant Aggregate Parameters in Metaconcrete Thin Plates on Flexural Bandgaps: Numerical Simulations

Abstract

Plate structures are widely used in civil engineering, for instance, as slabs, foundations, and retaining walls. In structural acoustics, flexural wave control becomes an important parameter for the safety of engineering thin structures. Metaconcrete is a new type of concrete where conventional aggregates are replaced by resonant aggregates, made of a solid core coated with a compliant material, which presents wave attenuation properties. Hence, the aim of this paper is to evaluate the band structure of flexural waves in a metaconcrete, using the thin plate theory associated with the improved plane wave expansion (IPWE) method. The effect of aggregate geometry, core density, Young's modulus of the coating, and number of layers are analyzed. Complete bandgaps are observed for almost all inclusions. The results reveal the possibility of adjusting the desired frequency range according to the configuration of the resonators for flexural vibration management through metaconcrete thin plates.

Keywords

• elastic metamaterial
• resonant inclusions
• multilayered resonators
• thin plate theory
• Fourier series expansion