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Elimination of Internal Structural Variables through explicit Taylor-Laurent Model Reduction, with Applications to Damped Sandwich Plates

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This paper introduces and discusses explicit condensation methods based on Taylor-Laurent expansion of dynamic responses. The major contribution is the formulation in free-floating conditions of a “degeneracy theorem”, stipulating that Laurent coefficients of an embedded subsystem are always invertible, while those of a free autonomous system are always singular matrices. From this, an original sensitive technique - termed “Covering-Censoring reduction” - where the quality of the results can be checked before condensation is performed, is described and then applied to the problem of vibration and acoustic radiation (transmission loss) of sandwich plates (more precisely, plates with attached constrained layer damping). The method presented in the paper is of great interest in several applications necessitating the condensation of internal and/or secondary degrees of freedom.
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Document Type: Research Article

Publication date: March 1, 2012

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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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