TY - JOUR T1 - Carbon Nanotube Beam Model and Free Vibration Analysis AU - Uzun, Büşra AU - Civalek, Ömer PY - 2018 DA - May Y2 - 2018 DO - 10.24107/ijeas.414628 JF - International Journal of Engineering and Applied Sciences JO - IJEAS PB - Akdeniz University WT - DergiPark SN - 1309-0267 SP - 1 EP - 4 VL - 10 IS - 1 LA - en AB - Thanks to their superior properties, the interest on nanostructures hasincreased. Among the nanostructures, carbon nanotubes have an important place. Inthis study, the free vibration of Carbon Nanotubes is investigated. CNT ismodeled as a beam. Four different cross-sections is selected such as circular,rectangular, triangular and quadraticfor use in the solution. The frequency values of the first five modes ofthese 4 different cross-sections with the same area have been gained by usingEuler-Bernoulli Beam Theory for simply supported boundary condition. Theresults are compared. In this study, it is aimed to understand how the modenumber and cross-section change the frequency values. KW - Carbon nanotube KW - free vibration KW - Euler-Bernoulli KW - frequency CR - [1] Gopalakrishnan, S., Narendar, S., Wave Propagation in Nanostructures: Nonlocal Continuum Mechanics Formulations; Springer International Publishing Switzerland, 2013. CR - [2] Karaoğlu, P., Karbon Nanotüplerin Sürekli Ortam Kiriş Modelleri İle Titreşim Analizi. Yüksek Lisans Tezi, Trakya Üniversitesi, Makine Mühendisliği Anabilim Dalı, Edirne, 2011 CR - [3] Iijima, S., Helical microtubules of graphitic carbon. Nature, 354(6348), 56. CR - [4] Schulz, M., Shanov, V., Yin, Z., Nanotube Superfiber Materials: Changing Engineering Design2013; William Andrew, 2013. CR - [5] Akgöz, B., Karbon Nanotüplerin Kiriş Modeli ve Titreşim Hesabı, Akdeniz Üniversitesi Mühendislik Fakültesi İnşaat Mühendisliği Bitirme Çalışması, Antalya. 2009. CR - [6] Koç, M.B., Nanotüpler, Bitirme Tezi, Ankara Üniversitesi, 2003. CR - [7] Uzun, B., Karbon Nanotüplerin Kiriş Modeli ve Titreşim Hesabı, Lisans Tezi, Akdeniz Üniversitesi, 2016. CR - [8] Numanoğlu, H.M., Nanoyapıların Kiriş ve Çubuk Modellerinin Yerel Olmayan Elastisite Teorisi Kullanılarak Titreşim Analizi, Lisans Tezi, Akdeniz Üniversitesi, 2017. CR - [9] Mercan, K., Civalek, Ö., Buckling analysis of Silicon carbide nanotubes (SiCNTs) with surface effect and nonlocal elasticity using the method of HDQ. Composites Part B: Engineering, 114, 34-45, 2017. CR - [10] Demir, Ç., Mercan, K., Civalek, Ö., Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel. Composites Part B: Engineering, 94, 1-10, 2016. CR - [11] M Gürses, M., Civalek, O., Korkmaz, A.K., Ersoy, H. Free vibration analysis of symmetric laminated skew plates by discrete singular convolution technique based on first-order shear deformation theory. International Journal for Numerical Methods in Engineering 79 (3), 290-313, 2009. CR - [12] AK Baltacıoglu, A.K., Akgöz, B., Civalek, O. Nonlinear static response of laminated composite plates by discrete singular convolution method. Composite Structures 93 (1), 153-161, 2010. CR - [13] Mercan, K., Civalek, Ö., DSC method for buckling analysis of boron nitride nanotube (BNNT) surrounded by an elastic matrix. Composite Structures, 143, 300-309, 2016. CR - [14] Akgöz, B., Civalek, Ö., Buckling analysis of cantilever carbon nanotubes using the strain gradient elasticity and modified couple stress theories. Journal of Computational and Theoretical Nanoscience, 8(9), 1821-1827, 2011. CR - [15] Leissa, A.W., Qatu, M.S., Vibrations of Continuous Systems. McGraw-Hill, 2011. CR - [16] Rao, S.S., Vibration of Continuous Systems; John Wiley & Sons, Inc, 2007. UR - https://doi.org/10.24107/ijeas.414628 L1 - https://dergipark.org.tr/en/download/article-file/479202 ER -