Membran model kullanılarak grafen tabakaların titreşim hesabı

Yıl 2017, Cilt: 23 Sayı: 6, 652 - 658, 15.12.2017

Çiğdem Demir , Kadir Mercan Hakan Ersoy , Ömer Civalek

Öz

Bu çalışmada grafen
tabakaların membran gibi modellenerek serbest titreşim analizleri yapılmıştır.
Membranlar eğilmeye ya da burkulmaya karşı rijitliği olmayan ince plaklardır.
Yanal güçleri eksenel ve merkezi kesme kuvvetleri ile taşırlar. Böyle yük
taşımaları, aşırı incelikleri ve moment taşıma kapasitelerinin ihmal edilebilir
olmasından dolayı gergin kablo ağlarına benzetilebilirler. Grafen tabakalar
dikdörtgen ve kare geometriye sahip olmak üzere değişik boyutlarda
modellenmiştir. Elde edilen denklemin çözümünde hem ayrık tekil konvolüsyon
yöntemi ve hem de analitik yöntem kullanılmıştır. Literatürde bulunan plak
modeli ile ilk defa yapılan membran modelinin sonuçları karşılaştırılmıştır. Bulunan
değerler grafik ve tablo halinde sunulmuştur.

Anahtar Kelimeler

Membran, Grafen, Titreşim, Modal analiz, Mod şekli

Vibration analysis of graphene sheets using membrane model

Öz

In this present study
vibration analysis of graphene sheets have been carried out by modeling as
membrane model. Membranes are thin plates without the stiffness against bending
and buckling. They carry lateral forces with axial and central shear forces.
This specification, its extreme thinness and negligible moment capacity of
membranes can be likened to the tense cable network. Graphene sheets are
modeled in square and rectangular geometry. The resulting equation have been
solved both analytically and the method of discrete singular convolution. The
firstly obtained membrane results have been compared with results obtained by
plate models in the literature. Results are given in graphics and tables.

Anahtar Kelimeler

Membrane, Graphene, Vibration, Modal analysis, Mode shape

Kaynakça

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