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

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.

Anahtar Kelimeler:

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

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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