DYNAMIC ANALYSIS OF NANOBEAMS UNDER THE EFFECT OF PARTIAL UNIFORM LOAD

Abstract

Dynamic analysis of nanobeams under the effect of partial uniform transverse load has been carried out. Governing equation of motion and boundary conditions have been obtained using Eringen’s Nonlocal Elasticity Theory. Partial uniform load effect is modeled with Heaviside function. Present model results have been compared and validated with fragmented model results. Effects of nonlocal parameter, dimensionless uniform load, application point of uniform load to the vibration frequency of nanobeam have been investigated. Effect of various parameters on the amplitude of nanobeam has been shown at different vibration frequencies. Instead of fragmented model which needs extra continuum boundary conditions which leads to increase in size of the matrices, present model needs four boundary conditions. Present study results could be useful at modeling of nano mass sensors like bacteria or virus.

Keywords

• Partial Uniform Load,Nanobeam,Nonlocal Elasticity,Vibrational Analysis,Heaviside Function

KISMİ YAYILI YÜK ETKİSİNDEKİ NANO KİRİŞLERİN DİNAMİK ANALİZİ

Abstract

Kısmi yayılı yük etkisindeki karbon nanotüp kirişlerin dinamik analizi gerçekleştirilmiştir. Nano kiriş için hareketin yönetici denklemi ve sınır şartları Eringen’in Yerel Olmayan Elastisite Teorisi kullanılarak elde edilmiştir. Kısmi yayılı yük etkisi Heaviside fonksiyonu ile modellenmiştir. Oluşturulan model, nano kirişin parçalara bölünmesiyle elde edilen model sonuçlarıyla karşılaştırılarak doğrulanmıştır. Nano kiriş titreşim frekansının yerel olmayan parametre, boyutsuz yayılı yük, yükün başlangıç noktası gibi parametrelerle değişimi incelenmiştir. Farklı titreşim frekanslarında çeşitli parametrelerin nano kirişin genlik değerlerine olan etkisi gösterilmiştir. Nano kirişin parçalara ayrılmasıyla artan süreklilik şartı sayısının oluşturduğu yüksek boyutlu matrislerin çözümüne alternatif olarak oluşturulan modelde dört sınır şartıyla çözüme ulaşılmıştır. Bu çalışmanın sonuçları bakteri veya virüs gibi nano kütle sensörlerinin modellenmesinde kullanılabilir.  

Keywords

• Kısmi Yayılı Yük,Nano-Kiriş,Yerel Olmayan Elastisite,Titreşim Analizi,Heaviside Fonksiyonu

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