Improved efficiency of vibration-based sound power computation through multi-layered radiation resistance matrix symmetry

Author:

Ebeling John C.1,Bacon Ian C.2,Bates Trent P.3,Sommerfeldt Scott D.2ORCID,Blotter Jonathan D.3

Affiliation:

1. Department of Mathematics, Brigham Young University, Provo, Utah 84602, USA

2. Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA

3. Department of Mechanical Engineering, Brigham Young University, Provo, Utah 84602, USA, , , ,

Abstract

Computing sound power using complex-valued surface velocities involves using a geometry-dependent acoustic radiation resistance matrix multiplied by a velocity vector to compute sound power for a given frequency range. Using a laser scan grid with constant spacing and a scalar radiator area approximation, a multi-layered Toeplitz symmetry exists in the radiation resistance matrix. An innovative approach was developed to exploit this Toeplitz symmetry. This approach preserved accuracy and resulted in a maximum of ∼1300% computation time reduction for curved plate calculations and a ∼9600% computation time reduction for cylindrical shell sound power calculations.

Funder

Directorate for Engineering

Publisher

Acoustical Society of America (ASA)

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

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