Frequency responses of acoustic black hole wedges solved by the partition of unity finite element method

T. Zhou, J. D. Chazot, E. Perrey-Debain, L. Cheng

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

1 Citation (Scopus)

Abstract

The Acoustic Black Hole (ABH) phenomenon can be capitalized to manipulate and mitigate flexural waves in thin-walled structures. It features unique space-dependent wavenumber variation and wave celerity reduction in the tapered ABH area, thus posing great challenges to the existing modelling methods. In this work, the Partition of Unity Finite Element Method (PUFEM) is revamped to resolve the frequency response of an ABH beam. The method allows incorporating auxiliary interpolation functions in the finite element framework in order to better cope with the ABH oscillating behaviour. Several types of tapered Timoshenko beam elements are constructed by employing enrichment functions based on the ABH wave solutions with the WKB approximations (for general profiles) or the exact solutions (for parabolic profiles). Other enrichment bases, including polynomials, Fourier series and wavelets, are also investigated as hierarchic refinements. Using these enriched elements, structural responses of an ABH beam are computed and compared with the standard FEM. It is shown that the PUFEM can be easily adapted to model ABH effects with a good accuracy and efficiency, outperforming the conventional FEM for solving ABH problems.

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
  • PUFEM
  • WKB method

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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