EKSENEL TABAKALI FONKSİYONEL DERECELENDİRİLMİŞ KONİK KİRİŞLERİN SAYISAL İLK MOD FREKANS ANALİZİ

Abstract

   Bu numerik çalışmanın amacı, ANSYS V13 sonlu elemanlar programı kullanarak ankastre-ankastre (C-C) sınır şartı altında eksenel yönde fonksiyonel derecelendirilmiş malzemeden (FDM) modellenmiş üç tabakalı konik kirişlerin birinci mod frekans analizini değerlendirmektir. Analizler üç seviye ve üç kontrol faktöründen oluşan L16 Taguchi ortogonal dizi tasarımı kullanılarak yürütülmüştür. Tabakalar kontrol faktörleri olarak karar verilmiştir ve alüminyum (Al) / monotungsten karbür (WC) sistemlerinden oluştuğu düşünülmektedir. Optimum tabaka kombinasyonu sinyal gürültü oran analizine göre gerçekleştirildi. Eksenel tabakalı FD konik kirişlerin birinci mod frekansı üzerinde tabakaların önem seviyeleri ve katkı oranları varyans analizi (ANOVA) kullanılarak incelenmiştir. Birinci mod frekans değerleri üzerinde Tabaka 1 ve Tabaka 3 pozitif etkilere sahiptir. Ancak Tabaka 2 negatif etkiye sahiptir. Ayrıca en etkili tabakalar sırasıyla %82,17 ile Tabaka 1, %16,36 ile Tabaka 2 ve %1,45 ile Tabaka 3’tür. 

Keywords

• Fonksiyonel derecelendirilmiş malzemeler,konik tabakalı kirişler,sonlu elemanlar metodu

NUMERICAL FIRST MODE FREQUENCY ANALYSIS OF AXIALLY LAYERED FUNCTIONALLY GRADED TAPERED BEAMS

Öz

   The purpose of this numerical work is to evaluate the first mode frequency analysis of the tapered beams with three layers, modelled using functionally graded materials (FGM) in the axially direction, under clamped-clamped (C-C) boundary condition based on finite element software named ANSYS V13. Analyses were conducted using L16 Taguchi orthogonal array design consisting of three control factors and four levels. The layers were determined as the control factors and were considered to be made from aluminum (Al)/monotungsten carbide (WC) systems. The optimum layer combination was carried out according to the analysis of signal-to-noise (S/N) ratio. The importance levels and contribution ratios of the layers on the first mode frequency of the axially layered FG tapered beams were observed by using analysis of variance (ANOVA). Layer 1 and Layer 3 have positive effects on the first mode frequency values. However, Layer 2 has negative influence. In addition, the most effective layers are Layer 1 with 82.17%, Layer 2 with 16.36% and Layer 3 with 1.45% respectively. 

Anahtar Kelimeler

• Functionally graded materials,tapered layered beam,finite element method

Kaynakça

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