İç Boşluklu Akustik Metamalzemelerin Homojenizasyonu ve İletim Kayıplarının Transfer Matris Metodu ile Belirlenmesi

Year 2019, Volume: 21 Issue: 62, 449 - 459, 21.05.2019

Abdullah Seçgin , Tuba Baygün

https://doi.org/10.21205/deufmd.2019216211

Abstract

Bu çalışmada, yüksek ses iletim kaybına
sahip yalıtım malzemesi olarak kullanılmak üzere küresel iç boşluklu akustik
metahücrelerden oluşan çeşitli akustik metamalzemeler tasarlanmıştır. Bu
malzemelerin iletim kayıpları vizko-termal kayıplar ihmal edilerek transfer
matris metodu (TMM) ile belirlenmiştir. Metamalzemelerin etkin empedans,
kırılma indisi, yoğunluk ve sıkıştırılabilirlik (tersi Bulk modülü) gibi etkin
ortam parametreleri etkin ortam homojenizasyonu ile elde edilmiştir.
Metamalzemeleri oluşturan metahücrelerin sayısı, geometrik büyüklükleri,
dizilim periyodikliği gibi topolojik unsurların iletim kaybı (TL) üzerindeki
etkisi incelenerek metamalzemelerin frekans bölgelerine göre performansları
ortaya konmuştur. Sunulan yöntemin doğruluğu sonlu elemanlar metodu (SEM) ile
yapılan bir karşılaştırma ile gösterilmiştir. Çalışma ile TMM ile akustik
metamalzeme tasarımı ve analizleri ve etkin ortam homojenizasyonu ile etkin
parametrelerin elde edilmesi gibi konular detaylı bir şekilde sunulmuştur.

Keywords

Akustik metamalzeme, transfer matris yöntemi, etkin ortam teorisi, etkin parametreler

Homogenization of In-line Cavity Based Acoustic Metamaterials and The Determination of Transmission Losses via Transfer Matrix Method

Abstract

In this
study, a variety of acoustic metamaterials consisting of in-line cavity based
metacells are designed, for use as insulation material with high sound
transmission loss. The transmission losses of these materials were determined
by the transfer matrix method (TMM) with neglecting visco-thermal losses.
Effective medium parameters such as effective impedance, refractive index,
density and compressibility (inverse of Bulk modulus) of the metamaterials are
obtained by effective medium homogenization. The effects of number of
metacells, geometric size and the periodicity of the elements on the
transmission loss (TL) are examined, and the performance of the metamaterials
regarding frequency domain is discussed. The accuracy of the present method is
demonstrated by finite element method. In the study, the topological issues
such as acoustic metamaterial design and analysis and obtaining effective
parameters with effective medium homogenization using the TMM, are presented in
detail.

Keywords

Acoustic metamaterials, transfer matrix method, effective medium theory, effective parameters

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