Non-symmetric flexural wave scattering and one-way extreme absorption

Andrew N. Norris, Pawel Packo

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

The possibility of asymmetric absorption and reflection for flexural waves is demonstrated through analytical and numerical examples. The emphasis is on the one-dimensional (1D) case of flexural motion of a beam for which combinations of point scatterers are considered, which together provide asymmetric scattering. The scatterers are attached damped oscillators characterized by effective impedances, analogous to effective configurations in 1D acoustic waveguides. By selecting the impedances of a pair of closely spaced scatterers it is shown that it is possible to obtain almost total absorption for incidence on one side, with almost total reflection if incident from the other side. The one-way absorption is illustrated through numerous examples of impedance pairs that satisfy the necessary conditions for zero reflectivity for incidence from one direction. Examples of almost total and zero reflection for different incidences are examined in detail, showing the distinct wave dynamics of flexural waves as compared with acoustics.

Original languageEnglish (US)
Pages (from-to)873-883
Number of pages11
JournalJournal of the Acoustical Society of America
Volume146
Issue number1
DOIs
StatePublished - Jul 1 2019

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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