The Method of Fundamental Solutions for the Impulse Responses Reconstruction in Arbitrarily Shaped Plates

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Abstract:

In the present paper, impulse responses of thin isotropic plates of arbitrary shape and linear boundary conditions are determined from a set of measurements enclosing the area of interest. The used approach derives from the Method of Fundamental Solutions considering virtual monopolar sources in order to reconstruct the free vibration of the plate. The originality of this work lies in the practical deployment of this method: the collocation points are set in the plate and not at its boundaries as usually employed in eigenanalysis context. Also, an alternative formulation is presented for which only the relative placements of the virtual sources and the collocation points are needed to determine the weighting coefficients, without knowing the shape of the plate and its boundary conditions. Several measurements with 3 kinds of plates have been achieved and the results highlight the remarkable robustness of the proposed formulations even for plate of complicated shape with various boundary conditions.

Document Type: Research Article

DOI: http://dx.doi.org/10.3813/AAA.918473

Publication date: November 1, 2011

More about this publication?
  • 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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