Broadband traveling wave generation using acoustic black holes

TL;DR

This paper demonstrates that acoustic black holes can generate broadband non-reflective traveling waves on beams, validated through experiments and modeling, with potential for optimizing wave control in engineering applications.

Contribution

It introduces a novel application of acoustic black holes on beams, validated by experiments and a theoretical model, showing broadband wave generation and potential for optimization.

Findings

Acoustic black holes sustain traveling waves over 1-10 kHz.

Model and experiments show good agreement.

Parameter optimization enhances broadband wave effects.

Abstract

This work studies the effectiveness of acoustic black holes to generate broadband non-reflective traveling waves using a single excitation source. This is inspired by similar observations in the basilar membrane of the mammalian inner ear. An aluminum beam is machined to introduce a gradual, asymmetric power-law taper at one of its ends. This tapered termination was then partially covered by viscoelastic tape to enhance the acoustic black hole effect in the system. This setup is then used to validate a model developed based on the Euler-Bernoulli beam theory. Following good agreement between the model and the experimental setup over a broad excitation frequency range (1 kHz to 10 kHz), the model is used to conduct a parametric study investigating the effects of different variables on the system's response. This study revealed the effectiveness of acoustic black holes in sustaining traveling waves over a broad frequency range. By optimizing parameters, such as the power-law order, one can significantly enhance this effect. This is especially noticeable towards the lower-frequency end.