Değişken Kesitli Eksenel Fonksiyonel Derecelenmiş Eliptik Kirişlerin Serbest Titreşim Analizi

Öz

Bu çalışmada Eksenel Fonksiyonel Derecelenmiş (EFD) eliptik kirişlerin düzlem içi titreşim davranışı araştırılmıştır. Kayma deformasyon etkisinin göz önünde bulundurulduğu analizlerde eliptik kiriş, uzunluğu boyunca değişken kesite sahiptir. Elde edilen kanonik denklemler Laplace uzayında Tamamlayıcı Fonksiyonlar Yöntemi (TFY) ile çözülmüştür. Fortran dilinde bir bilgisayar programı hazırlanarak sınır koşullarının, minimum yarıçapın ve malzeme değişim katsayısı serbest titreşim davranışı üzerindeki etkileri detaylı olarak incelenmiştir. Elde edilen frekans değerleriyle ANSYS sonuçlarının uyum içerisinde olduğu görülmüş ve önerilen yöntemin doğruluğu ve güvenilirliği ortaya konmuştur.

Anahtar Kelimeler

• Eksenel Fonksiyonel Derecelenmiş Malzeme
• Eliptik Kemer
• Serbest Titreşim Analizi
• Tamamlayıcı Fonksiyonlar Yöntemi
• Laplace Uzayı

Free Vibration Analysis of Axially Functionally Graded Elliptical Beams with Variable Cross Section

Öz

In this study, the in-plane vibration behavior of Axially Functionally Graded (AFG) elliptical beams is investigated. The elliptical beam has a variable cross-section along its length in the analyses where the shear deformation effect is considered. The obtained canonical equations are solved in the Laplace domain by the Complementary Functions Method (CFM). A computer program in Fortran language is prepared, and the effects of boundary conditions, minimum radius of elliptical beam, and material gradient index on the free vibration behaviour are studied in detail. It is seen that the ANSYS results are in harmony with the obtained frequency values, and the accuracy and reliability of the proposed method are demonstrated

Anahtar Kelimeler

• Axial Functionally Graded Material
• Elliptical Beams
• Free Vibration Analysis
• Complementary Functions Method
• Laplace Domain

Kaynakça

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