BENDING STRESS ANALYSIS OF AXIALLY LAYERED FUNCTIONALLY GRADED BEAMS

Abstract

   In this study, the bending stress analysis of axially layered functionally graded beams subjected to their own weight were evaluated under clamped-free (C-F) boundary condition. The beams have four layers and each layer consist of different aluminium (Al)/monotungsten carbide (WC) systems based on increasing of the 6% WC. The layer positions in the beams were performed based on Taguchi L16 (4*4) orthogonal array design. The layers were considered as control factors and each layer has four levels. The analysis of signal-to-noise (S/N) ratios were used to obtain the optimum layer levels. Analyses were performed using finite element software ANSYS. In addition, analysis of variance (ANOVA) was performed to determine the important levels and percent contributions of the layers on the responses. The numerical results show that the increasing of the layer levels increases the bending stress and percent contributions of Layer 1, Layer 2, Layer 3 and Layer 4 on the bending stress were obtained as 1.12%, 11.83%, 29.54% and 57.48%, respectively.

Keywords

• Functionally graded materials,bending stress,beam,finite element method

EKSENEL TABAKALI FONKSİYONEL DERECELENDİRİLMİŞ KİRİŞLERİN EĞİLME GERİLME ANALİZİ

Öz

   Bu çalışmada, ankastre-serbest (C-F) sınır şartı altında kendi ağırlığına maruz kalmış eksenel fonksiyonel derecelendirilmiş tabakalı kirişlerin eğilme gerilme analizleri değerlendirilmiştir. Kirişler dört tabakaya sahip ve her tabaka %6 monotungsten karbür (WC) artışına bağlı olarak farklı alüminyum (Al)/WC sistemlerinden oluşmaktadır. Kirişlerdeki tabaka pozisyonları Taguchi L16 (4*4) ortogonal dizi tasarımına bağlı gerçekleştirilmiştir.  Tabakalar kontrol faktörü olarak düşünüldü ve her tabaka dört seviyeye sahiptir. Sinyal gürültü oranları analizi optimum tabaka seviyelerini elde etmek için kullanıldı. Analizler ANSYS sonlu elemanlar programı kullanılarak gerçekleştirildi. Ayrıca varyans analizi sonuçlar üzerinde tabakaların önem seviyeleri ve yüzde katkıları karar vermek için gerçekleştirildi. Sayısal sonuçlar tabaka seviyelerindeki artışın eğilme gerilmesini artırdığını göstermektedir. Eğilme gerilmesi üzerinde Tabaka 1, Tabaka 2, Tabaka 3 ve Tabaka 4’ün katkıları sırasıyla %1,12, %11,83, %29,54 ve %57,48 olarak elde edildi.

Anahtar Kelimeler

• Fonksiyonel derecelendirilmiş malzemeler,eğilme gerilmesi,kiriş,sonlu elemanlar yöntemi

Kaynakça

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