Investigation of linear vibration behavior of middle supported nanobeam

Year 2020, , 1450 - 1459, 30.09.2020

Burak Yapanmış , Süleyman Murat Bağdatlı , Necla Toğun

https://doi.org/10.31202/ecjse.741269

Cited By: 2

Abstract

In this study, linear
vibration of middle supported nanobeam, which is commonly used in nano electro-mechanical
systems, is analyzed. Eringen’s nonlocal elasticity theory is used to capture
nanoscale effect. Equation of motion of nanobeam is derived with the Hamilton
principle. Multiple scale methods, which is one of the perturbation techniques,
is performed for solving the equation of motion. Support position and nonlocal
effect are focused on the research. The results are presented with graphs and
table. In conclusion, when the nonlocal parameter is getting a raise, more
nanoscale structure is obtained. Highest rigidity and linear natural frequency
are received with mid-position of the support.

Keywords

Nanobeam, linear vibration, nonlocal elasticity, perturbation methods

Ortadan destekli nano kirişin doğrusal titreşim davranışının incelenmesi

Abstract

Bu
çalışmada, nano elektromekanik sistemlerde yaygın olarak kullanılan ortadan
destekli nano kirişin doğrusal titreşimi analiz edilmiştir. Nano ölçeği
yakalayabilmek için Eringen’in yerel olmayan elastisite teorisi kullanılmıştır.
Nano kirişin hareket denklemi Hamilton prensibi ile elde edilir. Hareket
denklemini çözmek için pertürbasyon tekniklerinden biri olan çok ölçekli metot
uygulanmıştır. Orta mesnet pozisyonu ve yerel olmayan etki araştırmada odak
nokta olmuştur. Sonuçlar grafikler ve tablo ile sunulmuştur. Sonuç olarak,
yerel olmayan parametre artmasıyla daha fazla nano ölçekli yapı elde
edilmektedir. İkinci desteğin orta konuma yerleştirilmesiyle en yüksek rijitlik
ve doğrusal doğal frekans değerleri elde edilir.

Keywords

Nanokiriş, doğrusal titreşim, yerel olmayan elastisite, pertürbasyon metodu

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