Effective acoustic metamaterial homogenization based on Hamilton's principle with a multiple scales approximation

Effective acoustic metamaterial homogenization based on Hamilton's principle with a multiple scales approximation

This paper derives and demonstrates a one-dimensional acoustic metamaterial homogenization method. The homogenization method uses a multiple-scales approximation with Hamilton's principle, a weak-form representation of the dynamic equation. While the multiple-scales approximation makes the pred...

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Veröffentlicht in:The Journal of the Acoustical Society of America 2020-05, Vol.147 (5), p.3584-3593
1. Verfasser: Muhlestein, Michael B.
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description This paper derives and demonstrates a one-dimensional acoustic metamaterial homogenization method. The homogenization method uses a multiple-scales approximation with Hamilton's principle, a weak-form representation of the dynamic equation. While the multiple-scales approximation makes the predicted effective material properties of this method inexact, the method is shown to be highly versatile. Analytical and numerical examples are given showing the ability of the homogenization method to account for viscosity and finite-amplitude effects.
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title Effective acoustic metamaterial homogenization based on Hamilton's principle with a multiple scales approximation
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