Analytical Sensitivity of Acoustic Power Radiated from Plates

A general formulation to obtain the analytical expressions for the sensitivity of the acoustic power radiated by a vibrating structure to one of its design variables is described. The formulation, which is based on finite elements, is applied to both single frequency and broad band harmonic excitati...

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Bibliographic Details
Published in:Journal of vibration and acoustics 1995-01, Vol.117 (1), p.43-48
Main Authors: Salagame, R. R, Belegundu, A. D, Koopmann, G. H
Format: Article
Language:English
Subjects:
Acoustic intensity
Acoustics
Eigenvalues and eigenfunctions
Exact sciences and technology
Finite difference method
Finite element method
Frequencies
Fundamental areas of phenomenology (including applications)
Physics
Plates (structural components)
Sensitivity analysis
Structural acoustics and vibration
Vibrations (mechanical)
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Summary:A general formulation to obtain the analytical expressions for the sensitivity of the acoustic power radiated by a vibrating structure to one of its design variables is described. The formulation, which is based on finite elements, is applied to both single frequency and broad band harmonic excitation of plates. The sensitivity coefficients indicate the effect of changing various design or modeling parameters on the acoustic power and can be used to optimize the structure for minimum sound radiation. Analytical sensitivity estimates are compared with finite difference values. Results show that analytical sensitivity analysis is important from both computational time and accuracy points of view.
ISSN:1048-9002
1528-8927
DOI:10.1115/1.2873865