Investigation of linear vibration behavior of middle supported nanobeam

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

References

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