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Improved efficiency of vibration-based sound power computation through multi-layered radiation resistance matrix
John C Ebeling1, Ian C Bacon2, Trent P Bates3
1Department of Mathematics, 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.
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