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Calculation of Vibro-Acoustic Frequency Response Functions Using a Single Frequency Boundary Element Solution and a Padé Expansion

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This paper presents a new technique to calculate the acoustic field generated by a vibrating body over a frequency interval [f 1, f 2]. The solution is based on the calculation of the acoustic response at a central frequency f 0 by a classical boundary element technique and on an extension of this solution to the whole frequency interval using a Padé approximation of the frequency response function. The Padé approximation requires the knowledge of the successive derivatives of the acoustic field with respect to frequency. The paper describes the technique used to evaluate these derivatives and compares the solution of this new algorithm to results obtained by a classical all-BEM frequency sweep technique. Comparison are made both in terms of accuracy and in terms of computational resources needed for the calculation.
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Document Type: Research Article

Publication date: May 1, 1999

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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