Dynamic behavior and power flow analysis of Acoustic Black Hole beams

Yuhang Wang, Jingtao Du, Li Cheng

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

A truthful description of the energy transport process, which can be depicted by a physical quantity, namely power flow, is a significant angle to understand the Acoustic Black Hole (ABH) effect and its applications. To tackle the defect of existing semi-analytical models on ABH structures in calculating the higher-order derivatives of structural displacement, an energy formulation, in conjunction with a Rayleigh-Ritz procedure, is proposed for an ABH beam, in which the transverse displacement is constructed using Fourier series with supplementary terms. This treatment ensures the continuity and the smoothness of all relevant derivatives terms in the entire calculation domain, thus allowing the calculation of the power flow and structural intensity. Numerical examples are presented to illustrate the reliability and effectiveness of the established model. Numerical analyses on the dynamic behavior and power flow show the spatial and frequency characteristics of energy transmission process and reveal the ABH working mechanisms. While providing an efficient analysis tool, this work enriches the existing understanding on the dynamic behavior of ABH structures.

Original languageEnglish
Title of host publicationINTER-NOISE 2019 MADRID - 48th International Congress and Exhibition on Noise Control Engineering
EditorsAntonio Calvo-Manzano, Ana Delgado, Antonio Perez-Lopez, Jose Salvador Santiago
PublisherSOCIEDAD ESPANOLA DE ACUSTICA - Spanish Acoustical Society, SEA
ISBN (Electronic)9788487985317
Publication statusPublished - 1 Jan 2019
Event48th International Congress and Exhibition on Noise Control Engineering, INTER-NOISE 2019 MADRID - Madrid, Spain
Duration: 16 Jun 201919 Jun 2019

Publication series

NameINTER-NOISE 2019 MADRID - 48th International Congress and Exhibition on Noise Control Engineering

Conference

Conference48th International Congress and Exhibition on Noise Control Engineering, INTER-NOISE 2019 MADRID
CountrySpain
CityMadrid
Period16/06/1919/06/19

Keywords

  • ABH beam
  • Fourier series
  • Power flow
  • Structural intensity

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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