Abstract
AbstractWe 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.
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More From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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