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Harmonic Configurations of Non-Homogeneous Membranes

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We consider the problem of finding composite membranes of drums that allow to have approximate harmonic relations involving some the smallest eigenfrequencies. This problem was already addressed in previous studies. Here we propose a numerical approach that allows to improve the results obtained in those references. We consider also the problem of finding optimal radial and continuous density in a circular membrane and the optimization problem of composite membranes with general shape. In both cases we describe numerical methods that allow to propose new configurations of membranes with approximate harmonic relations between some of the smallest eigenfrequencies.
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Document Type: Research Article

Publication date: July 1, 2017

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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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