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Chaotic State in an Electrodynamic Loudspeaker

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An electrodynamic loudspeaker has been operated in a nonlinear regime with driving currents I 0 = 2–4 A. At I 0 = 4 A an amplitude cut-off was observed at frequency ƒ = 46 Hz. In the next step driving frequencies have been selected in the interval 45–55 Hz, and driving current was then swept until vibration amplitude produced sequences of subharmonics which terminated in the chaotic state. An attempt to explain the chaotic phenomena in terms of forced anharmonic oscillator with elastic stiffness derived from static stress-strain measurement and entering Duffing equation failed. Viscoelastic model proposed by Bennewitz and Rötger was applied, when membrane viscoelasticity and corresponding intrinsic friction term enhance the restoring force of the vibrating system. Such a model supplemented with system parameters and transferred to simulation procedure resulted in a period doubling and bifurcation diagram, which might be brought within the loudspeaker technical performances and qualitative agreements such as would be indicated by observations and measurements.
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Document Type: Research Article

Publication date: July 1, 2008

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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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