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Free and forced vibrations of a membrane in contact with

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When a thin membrane vibrates in phase, there will be standing sound waves in the surrounding air. The vibrations are analysed by solving concurrently the sound wave equation together with the membrane equation where the latter is modified to account for the sound pressure. The most important parameters of the problem are the ratio of the acoustic velocities in the air and in the membrane, and the ratio of the corresponding densities. The solution yields for every given set of parameters an infinite number of free vibrational modes. The analysis is then extended to the case in which the membrane is acted upon by an oscillatory forcing function.
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Document Type: Research Article

Publication date: January 1, 1962

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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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