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Plane wave analysis of acoustic wedges using the boundary-condition-transfer algorithm
Authors:T Kar
Institution:Facility for Research in Technical Acoustics, Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560 012, India
Abstract:The present work delineates the applicability of the boundary-condition-transfer algorithm for analyzing the performance of the acoustic wedge. The theoretical model, based on the plane wave acoustical coupling between two interacting ducts of variable cross-sectional area, outlines the simplicity as well as the usefulness of the current approach. The proposed model assumes bulk reaction and hence a wave propagation in the wedge material. An asymptotic solution using the Peano-Baker series of matrix calculus is derived with the aid of an inherently stable boundary condition transfer (BCT) algorithm. The proposed method is validated extensively against the available literature in order to establish the utility of this elemental approach over its much more complex and time consuming counterparts like FEM and BEM.
Keywords:Anechoic chamber  Wedge  Matrizant  BCT algorithm  Transfer matrix  Plane wave analysis
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