Yerel olmayan elastisite teorisine göre üç mesnetli nano kirişin doğrusal olmayan titreşim davranışı

Öz

Nano ölçekli cihazların önemi her geçen gün artmaktadır. Bu nedenle nano elektromekanik yapılarda nano kiriş, nano levha, nano çubuk vb. nano yapılar son zamanlarda mühendislerin odak noktası olmuştur. Bu noktadan hareketle, sunulan çalışmada üç mesnetli nano kirişin doğrusal olmayan titreşim davranışı sayısal olarak incelenmiştir. İlk olarak doğrusal doğal frekanslar hesaplanmış ve ardından doğrusal olmayan düzeltme terimleri sayesinde doğrusal olmayan doğal frekanslar bulunmuştur. Doğrusal olmayan davranışı açıklığa kavuşturmak için genliğe bağlı doğrusal olmayan doğal frekans değişim grafikleri ve doğrusal olmayan frekans tepki eğrileri çizilmiştir. Yerel olmayan parametre, ikinci mesnet konumu ve farklı mod etkileri kapsamlı bir şekilde incelenmiştir. Ayrıca farklı ilk ve son mesnet türleri irdelenmiştir. Yerel olmayan parametrenin ve ortadaki mesnet konumunun nano kiriş için büyük önem taşıdığı gösterilmiştir. Söz konusu durum yüksek modlarda daha net bir şekilde görülmüştür.

Anahtar Kelimeler

• doğrusal olmayan titreşim
• nano kiriş
• pertürbasyon teorisi
• yerel olmayan elastisite teorisi

Kaynakça

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