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Advances in Nano Research
  Volume 9, Number 2, August 2020, pages 91-104
DOI: http://dx.doi.org/10.12989/anr.2020.9.2.091
 


Frequency, bending and buckling loads of nanobeams with different cross sections
Omer Civalek, Busra Uzun and M. Ozgur Yayli

 
Abstract
    The bending, stability (buckling) and vibration response of nano sized beams is presented in this study based on the Eringen\'s nonlocal elasticity theory in conjunction with the Euler-Bernoulli beam theory. For this purpose, the bending, buckling and vibration problem of Euler-Bernoulli nanobeams are developed and solved on the basis of nonlocal elasticity theory. The effects of various parameters such as nonlocal parameter e0a, length of beam L, mode number n, distributed load q and cross-section on the bending, buckling and vibration behaviors of carbon nanotubes idealized as Euler-Bernoulli nanobeam is investigated. The transverse deflections, maximum transverse deflections, vibrational frequency and buckling load values of carbon nanotubes are given in tables and graphs.
 
Key Words
    bending; buckling; vibration; carbon nanotubes; finite element method; nonlocal elasticity theory; Euler-Bernoulli beam theory
 
Address
(1) Omer Civalek:
China Medical University, Taichung, Taiwan
(2) Busra Uzun, M. Ozgur Yayli:
Bursa Uludağ University, Faculty of Engineering, Department of Civil Engineering, Bursa, Turkey
 

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