Acoustic waveguide filters made up of rigid stacked materials with elastic joints

Abstract

The acoustic dispersion properties of monodimensional waveguide filters can be assessed by means of the simple prototypical mechanical system made of an infinite stack of periodic massive blocks, connected to each other by elastic joints. The linear undamped dynamics of the periodic cell is governed by a two degree-of-freedom Lagrangian model. The eigenproblem governing the free propagation of shear and moment waves is solved analytically and the two dispersion relations are obtained in a suited closed form fashion.Therefore, the pass and stop bandwidths are conveniently determined in the minimal space of the independent mechanical parameters. Stop bands in the ultra-low frequency range are achieved by coupling the stacked material with an elastic half-space modelled as a Winkler support. A convenient fine approximation of the dispersion relations is pursued by formulating homogenised micropolar continuum models. An enhanced continualization approach, employing a proper Maclaurin approximation of pseudo-differential operators, is adopted to successfully approximate the acoustic and optical branches of the dispersion spectrum of the Lagrangian models, both in the absence and in the presence of the elastic support.

Tunable acoustic waveguide based on a magnetorheological fluid filling

“…[5][6][7][8] More recently, a waveguide, as a type of line defect structure of PnCs, has been shown to propagate elastic wave energy along a predefined path. 9) This waveguides has been widely used in filter, [10][11][12] energy collection, 13) and health detection. 14) Generally, the bandgap characteristics of artificially manufactured PnCs are fixed, 15) and the frequencies of the bandgaps cannot be tuned.…”

Editorial

“…At various size scales, periodicity, heterogeneity and architecture contribute in determining extreme dynamic characteristics in elastic or acoustic metamaterials, with effects such as band gaps, negative refraction, focusing or cloaking. On this topic, Bacigalupo et al [9] discuss the possibility of creating acoustic waveguide filters using an infinite stack of periodic massive blocks connected by elastic joints, determining stop bands in the ultra-low frequency range. Instead, in [10], the authors introduce the concept of inertial amplified resonators as building blocks for metasurfaces with tunable bandgap properties.…”