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Sound Transmission Through Periodically Inhomogeneous Plates: Solution of the General Problem by a Variational Formulation

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This paper completes a series of articles on the calculation of sound transmission through periodically inhomogeneous infinite plates. Whereas the two preceding articles treat the special cases of low frequencies and thin plates, respectively, the problem is now solved without these restrictions within the framework of linearised elasticity theory. A variational formulation leads to an infinite system of linear equations for the expansion coefficients of the displacement field inside the inhomogeneous plate. In a self-consistent manner these coefficients also determine the transmission coefficients for the diffracted waves and thus the transmission loss. Several simple examples have been successfully evaluated by a numerical implementation called GENERAL. More realistic applications require more effective numerical solvers or the use of supercomputers.
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Document Type: Research Article

Publication date: March 1, 2003

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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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