Obtaining far-field spherical directivities from arbitrarily shaped arrays using the Helmholtz equation least-squares method

2020 ◽  
Vol 148 (4) ◽  
pp. 2794-2794
Author(s):  
Samuel Bellows ◽  
Timothy W. Leishman
Keyword(s):  
Helmholtz Equation ◽  
Least Squares ◽  
Least Squares Method ◽  
Far Field ◽  
Helmholtz Equation Least Squares

Reconstruction of Vibro-Acoustic Responses of a Baffled Plate Using Helmholtz Equation Least Squares Method

2009 ◽  
Author(s):  
Logesh Kumar Natarajan ◽  
Sean F. Wu
Keyword(s):  
Boundary Conditions ◽  
Helmholtz Equation ◽  
Least Squares ◽  
Least Squares Method ◽  
Surface Velocity ◽  
Laser Vibrometer ◽  
Coupled Modes ◽  
Aspect Ratios ◽  
Helmholtz Equation Least Squares ◽  
Acoustic Responses

Vibro-acoustic responses of a vibrating rectangular plate were reconstructed using Helmholtz Equation Least Squares (HELS) method. The experiments were conducted on baffled rectangular plates of different aspect ratios with free as well as clamped boundary conditions under point force excitations via random and chirp sine signals. The radiated acoustic pressures were measured using a planar array of microphones at a very close distance to the plate surface, and taken as input to the HELS codes. The normal surface velocity distributions were reconstructed using HELS and compared against the benchmark data obtained using a laser vibrometer. Good agreements were obtained for both free and clamped boundary conditions. Finally, theoretical structural modes of the plate were compared against those obtained by HELS reconstruction and experimental modal analysis (EMA) for establishing their effectiveness in identifying closely coupled modes.

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