Thanks to their superior properties, the interest on nanostructures has
increased. Among the nanostructures, carbon nanotubes have an important place. In
this study, the free vibration of Carbon Nanotubes is investigated. CNT is
modeled as a beam. Four different cross-sections is selected such as circular,
rectangular, triangular and quadratic
for use in the solution. The frequency values of the first five modes of
these 4 different cross-sections with the same area have been gained by using
Euler-Bernoulli Beam Theory for simply supported boundary condition. The
results are compared. In this study, it is aimed to understand how the mode
number and cross-section change the frequency values.
[1] Gopalakrishnan, S., Narendar, S., Wave Propagation in Nanostructures: Nonlocal Continuum Mechanics Formulations; Springer International Publishing Switzerland, 2013.
[2] Karaoğlu, P., Karbon Nanotüplerin Sürekli Ortam Kiriş Modelleri İle Titreşim Analizi. Yüksek Lisans Tezi, Trakya Üniversitesi, Makine Mühendisliği Anabilim Dalı, Edirne, 2011
[4] Schulz, M., Shanov, V., Yin, Z., Nanotube Superfiber Materials: Changing Engineering Design2013; William Andrew, 2013.
[5] Akgöz, B., Karbon Nanotüplerin Kiriş Modeli ve Titreşim Hesabı, Akdeniz Üniversitesi Mühendislik Fakültesi İnşaat Mühendisliği Bitirme Çalışması, Antalya. 2009.
[6] Koç, M.B., Nanotüpler, Bitirme Tezi, Ankara Üniversitesi, 2003.
[7] Uzun, B., Karbon Nanotüplerin Kiriş Modeli ve Titreşim Hesabı, Lisans Tezi, Akdeniz Üniversitesi, 2016.
[8] Numanoğlu, H.M., Nanoyapıların Kiriş ve Çubuk Modellerinin Yerel Olmayan Elastisite Teorisi Kullanılarak Titreşim Analizi, Lisans Tezi, Akdeniz Üniversitesi, 2017.
[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.
[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.
[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.
[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.
[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.
[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.
[1] Gopalakrishnan, S., Narendar, S., Wave Propagation in Nanostructures: Nonlocal Continuum Mechanics Formulations; Springer International Publishing Switzerland, 2013.
[2] Karaoğlu, P., Karbon Nanotüplerin Sürekli Ortam Kiriş Modelleri İle Titreşim Analizi. Yüksek Lisans Tezi, Trakya Üniversitesi, Makine Mühendisliği Anabilim Dalı, Edirne, 2011
[4] Schulz, M., Shanov, V., Yin, Z., Nanotube Superfiber Materials: Changing Engineering Design2013; William Andrew, 2013.
[5] Akgöz, B., Karbon Nanotüplerin Kiriş Modeli ve Titreşim Hesabı, Akdeniz Üniversitesi Mühendislik Fakültesi İnşaat Mühendisliği Bitirme Çalışması, Antalya. 2009.
[6] Koç, M.B., Nanotüpler, Bitirme Tezi, Ankara Üniversitesi, 2003.
[7] Uzun, B., Karbon Nanotüplerin Kiriş Modeli ve Titreşim Hesabı, Lisans Tezi, Akdeniz Üniversitesi, 2016.
[8] Numanoğlu, H.M., Nanoyapıların Kiriş ve Çubuk Modellerinin Yerel Olmayan Elastisite Teorisi Kullanılarak Titreşim Analizi, Lisans Tezi, Akdeniz Üniversitesi, 2017.
[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.
[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.
[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.
[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.
[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.
[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.
Uzun, B., & Civalek, Ö. (2018). Carbon Nanotube Beam Model and Free Vibration Analysis. International Journal of Engineering and Applied Sciences, 10(1), 1-4. https://doi.org/10.24107/ijeas.414628
AMA
Uzun B, Civalek Ö. Carbon Nanotube Beam Model and Free Vibration Analysis. IJEAS. May 2018;10(1):1-4. doi:10.24107/ijeas.414628
Chicago
Uzun, Büşra, and Ömer Civalek. “Carbon Nanotube Beam Model and Free Vibration Analysis”. International Journal of Engineering and Applied Sciences 10, no. 1 (May 2018): 1-4. https://doi.org/10.24107/ijeas.414628.
EndNote
Uzun B, Civalek Ö (May 1, 2018) Carbon Nanotube Beam Model and Free Vibration Analysis. International Journal of Engineering and Applied Sciences 10 1 1–4.
IEEE
B. Uzun and Ö. Civalek, “Carbon Nanotube Beam Model and Free Vibration Analysis”, IJEAS, vol. 10, no. 1, pp. 1–4, 2018, doi: 10.24107/ijeas.414628.
ISNAD
Uzun, Büşra - Civalek, Ömer. “Carbon Nanotube Beam Model and Free Vibration Analysis”. International Journal of Engineering and Applied Sciences 10/1 (May 2018), 1-4. https://doi.org/10.24107/ijeas.414628.
JAMA
Uzun B, Civalek Ö. Carbon Nanotube Beam Model and Free Vibration Analysis. IJEAS. 2018;10:1–4.
MLA
Uzun, Büşra and Ömer Civalek. “Carbon Nanotube Beam Model and Free Vibration Analysis”. International Journal of Engineering and Applied Sciences, vol. 10, no. 1, 2018, pp. 1-4, doi:10.24107/ijeas.414628.
Vancouver
Uzun B, Civalek Ö. Carbon Nanotube Beam Model and Free Vibration Analysis. IJEAS. 2018;10(1):1-4.