A one-dimensional asymptotic model for higher order acoustic perturbations

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Erscheinungsjahr:
2004
Medientyp:
Text
Schlagworte:
  • Asymptotic expansions
  • Euler's equations
  • Nonlinear acoustics
Beschreibung:
  • We consider a simplified acoustic model to describe nonlinear phenomena occurring in loudspeakers. The first simplification is that we restrict to the one-dimensional isentropic Euler equations in a slab, where on the right end a membrane is moving periodically with frequency ω and maximal displacement ε ≪ 1. Moreover we apply a perturbation method to the nonlinear model based on the small parameter ε, which yields linear hyperbolic first order systems coupled by nonlinear source terms of lower order. The asymptotic model is investigated numerically for two different frequencies ω. © 2004 WILEY-VCH Verlag GmbH & Co, KGaA, Weinheim.
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  • info:eu-repo/semantics/closedAccess
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Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/2440bcaf-c633-445b-9243-249bff0c0877