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An Arnoldi Based Projection Formulation for Fully Coupled Low Frequency Structural-Acoustic Analysis

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A reduced order model is developed for low frequency, fully coupled, undamped and constantly damped structural acoustic analysis of interior cavities, backed by flexible structural systems. The reduced order model is obtained by applying a Galerkin projection of the coupled system matrices, from a higher dimensional subspace to a lower dimensional subspace, whilst preserving some essential properties of the coupled system. The basis vectors for projection are computed efficiently using the Arnoldi algorithm, which generates an orthogonal basis for the Krylov subspace containing moments of the original higher dimensional system. A simply supported steel plate, backed by a rigid walled cavity is used as a computational test case , and the computational gains and the accuracy obtained via implicit moment matching are compared with the direct method in ANSYS. Further, a reciprocity check is performed on the coupled system by exciting the coupled system using unit structural and acoustic excitations. It is shown that the reduced order modelling technique results in a very significant reduction in simulation time, while maintaining the desired accuracy of the state variables (displacements and pressures) under investigation.
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Document Type: Research Article

Publication date: 01 May 2011

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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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