Effect of Boundary Conditions on Natural Frequencies of Orthotropic- Cored Composite Sandwich Beams

Öz

The influences of different boundary conditions on the free vibration behavior of sandwich beams having an orthotropic core have been investigated. The finite element codes used in the analysis are written via MATLAB and infused into ANSYS software package. The two-dimensional beam is considered to be made of an orthotropic core and two isotropic face sheets which may be homogeneous or heterogenous. The longitudinal dominated natural frequencies are considered and effects of core and face-sheet materials on the natural frequency are also studied. The results show that the order of the natural frequencies from highest to lowest, respectively, is clamped-clamped, clamped-simply supported, simply supported-simply supported and clamped-free for the orthotropic core composite beam. Also, using Al-TiB2 instead of pure Al layer as well as the increasing the inhomogeneity index decreases the natural frequency.

Anahtar Kelimeler

• Vibration
• Natural frequency
• Boundary conditions
• Composites beams
• Orthotropy

Sınır Şartlarının Ortotrpik Çekirdekli Kompozit Sandviç Kirişlerinin Doğal Frekanslarına Olan Etkisi

Öz

Değişik sınır şartlarının orthotropik çekirdek tabakaya sahip kompozit malzemenden yapılmış olan kirişlerin serbest titreşim davranışları üzerine olan etkisi incelenmiştir. Çözümlemede, sonlu elemanlar paket programı kullanılmış olup kodlar MATLAB ile yazılmıştır. İki boyutlu kirişin bir adet ortotropik çekirdekten oluştuğu ve yüzey tabakasının homojen ya da heterojen olduğu varsayılmıştır. Kiriş boyuna titreşimler dikkate alınmış olup çekirdek ve yüzey tabaklarının malzeme özelliklerinin doğal frekans üzerine etkisi de ayrıca çalışılmıştır. Sonuçlara göre doğal frekanslar yüksekten düşüğe doğru sırasıyla ankastre-ankastre, ankastre-basit mesnet, basit mesnet-basit mesnet ve ankastre-serbest olarak belirlenmiştir. Ayrıca, saf Al tabaka yerine Al-TiB2 fonksiyonel derecelendirilmiş yüzey tabakası kullanmak ve inhomojenlik katsayısını artırmak doğal frekansı düşürmüştür.

Anahtar Kelimeler

• Titreşim
• Doğal frekans
• Sınır şartları
• Kompozit kirişler
• Orthotropi

Kaynakça

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