Orta kulak tasarımı ve akustik harmonik performansının sonlu elemanlar yöntemiyle modellenmesi

Öz

İşitme, insanlardaki beş duyudan biri olup sosyal yaşam için önemlidir. İnsan kulağının doğru ve kapsamlı bir sonlu eleman modelinin oluşturulması ses iletiminin daha iyi anlaşılmasını sağlayabilir. Bu çalışmada, insan orta kulağının bir sonlu eleman (FE) modeli geliştirilerek stapes tabanındaki titreşim nedeni ile oluşan hız ve genlik etkilerinin frekans spektrumundaki değişimi araştırılmıştır. İnsan orta kulak sistemi üzerindeki geometrik modeller, literatürdeki orta kulak bileşenlerinin özellikleri dikkate alınarak CAD yazılımı (Solidworks) ile oluşturulmuştur. FE modeli olarak Ansys yazılımı kullanılmıştır. 100 Hz ile 10 kHz frekans aralığında timpanik membrandan 90 dB SPL(ses basınç seviyesi)’ye eşit olan 0.632 Pa ses basıncı uygulanmıştır. Elde edilen sonuca göre sağlıklı insan orta kulak modelinin stapes tabanında 500 Hz'de 3.43E-05 mm'lik genlik ve 1.07E-01 mm/s’lik hızla en yüksek değerlere ulaşıldığı görülmüştür. Stapes tabanında 10 kHz'e kadar da kademeli olarak genlik ve hız değerlerinin azaldığı, sayısal açıdan da önemli bir farkın oluşmadığı tespit edilmiştir. Elde edilen bulguların literatür ile tutarlı olduğu belirlenmiştir.

Anahtar Kelimeler

• Orta kulak
• Protez
• Bilgisayar destekli tasarım
• Sonlu elemanlar yöntemi
• Harmonik analiz

Modeling of middle ear design and acoustic harmonic performance with finite element method

Öz

Hearing is one of the five senses in humans and is important for social life. An accurate and comprehensive finite element model of the human ear can provide a better understanding of sound transmission. In this study, a finite element (FE) model of the human middle ear is developed to investigate the variation of velocity and amplitude effects in the frequency spectrum due to vibration at the base of the stapes. Geometric models of the human middle ear system were created with CAD software (Solidworks), taking into account the characteristics of middle ear components in the literature. Ansys software was used as FE model. In the frequency range of 100 Hz to 10 kHz, 0.632 Pa sound pressure equal to 90 dB SPL (sound pressure level) was applied through the eardrum. According to the results obtained, it was observed that the highest values of 3.43E-05 mm amplitude and 1.07E-01 mm/s velocity were reached at 500 Hz at the base of the stapes of the healthy human middle ear model. It was determined that the amplitude and velocity values gradually decreased until 10 kHz at the base of the stapes, and no significant numerical difference was observed. It was determined that the findings were consistent with the literature.

Anahtar Kelimeler

• Middle ear
• Prosthesis
• Computer aided design
• Finite element method
• Harmonic responce

Kaynakça

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