title: A normalized wave number variation parameter for acoustic black hole design.
abstract: In recent years, the concept of the Acoustic Black Hole has been developed as an efficient passive, lightweight absorber of bending waves in plates and beams. Theory predicts greater absorption for a higher thickness taper power. However, a higher taper power also increases the violation of an underlying theory smoothness assumption. This paper explores the effects of high taper power on the reflection coefficient and spatial change in wave number and discusses the normalized wave number variation as a spatial design parameter for performance, assessment, and optimization.
authors.affiliation: Applied Research Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802 paf932@arl.psu.edu, scc135@arl.psu.edu.
authors.forename: Philip A
authors.initials: PA
authors.lastname: Feurtado
authors.affiliation: Applied Research Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802 paf932@arl.psu.edu, scc135@arl.psu.edu.
authors.forename: Stephen C
authors.initials: SC
authors.lastname: Conlon
authors.affiliation: Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556 fabio.semperlotti1@nd.edu.
authors.forename: Fabio
authors.initials: F
authors.lastname: Semperlotti