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Finite Element Modelling of Membrane Sensors surrounded by Gaseous or Fluid Media

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In many acoustical sensors and actuators we find membranes operating in a surrounding gas or fluid atmosphere. These gases and fluids serve as transfer media for the acoustical waves interacting with the sensor or actuator. In the present paper it will be shown that the membrane-fluid interactions can be simulated by a finite element technique. The influences of coupling volumes, and of sound radiation into an infinite surrounding gas of fluid medium on the kinetics of the membrane are calculated with high accuracy. These results are compared to results from commonly used approximations.


Bei auf Membranen basierenden Sensoren ist die Membran im allgemeinen von gasförmigen bzw. flüssigen Medien umgeben, die das Wandlerverhalten oft entscheidend beeinflussen. Zur Simulation werden daher unterschiedliche finite Elementtypen eingesetzt, die einerseits die Membrangleichung und andererseits die Wellengleichung, welche die Schallwellenausbreitung im Umgebungsmedium beschreibt, mit hoher Genauigkeit lösen. Es werden sowohl die Einflüsse von Koppelvolumina, die rückwärtig an die Membran grenzen, als auch die Belastung durch ein bis ins Unendliche reichendes, schallab-strahlendes Medium auf der Vorderseite der Membran berechnet. Die Ergebnisse werden mit herkömmlichen Näherungsrechnungen verglichen.


Beaucoup de capteurs ou d'actuateurs possèdent des membranes travaillant en atmosphère gazeuse ou en environnement liquide. Ces fluides servent de milieux intermédiaires pour les ondes acoustiques en interaction avec le capteur ou l'actuateur. On montre ici qu'il est possible de simuler les interactions membranefluide au moyen d'une technique d'éléments finis. On est parvenu à calculer avec un haut degré de précision les influences exercées par les volumes de couplage et le rayonnement acoustique (en environnement gazeux ou liquide illimité) sur le mouvement de la membrane. Pour finir on compare les resultats de cette nouvelle approche avec ceux des approximations habituelles.
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Document Type: Research Article

Publication date: February 1, 1991

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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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