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Carbon Nanotube Beam Model and Free Vibration Analysis

Yıl 2018, Cilt: 10 Sayı: 1, 1 - 4, 28.05.2018
https://doi.org/10.24107/ijeas.414628

Öz

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.

Kaynakça

  • [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
  • [3] Iijima, S., Helical microtubules of graphitic carbon. Nature, 354(6348), 56.
  • [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.
  • [15] Leissa, A.W., Qatu, M.S., Vibrations of Continuous Systems. McGraw-Hill, 2011.
  • [16] Rao, S.S., Vibration of Continuous Systems; John Wiley & Sons, Inc, 2007.
Yıl 2018, Cilt: 10 Sayı: 1, 1 - 4, 28.05.2018
https://doi.org/10.24107/ijeas.414628

Öz

Kaynakça

  • [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
  • [3] Iijima, S., Helical microtubules of graphitic carbon. Nature, 354(6348), 56.
  • [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.
  • [15] Leissa, A.W., Qatu, M.S., Vibrations of Continuous Systems. McGraw-Hill, 2011.
  • [16] Rao, S.S., Vibration of Continuous Systems; John Wiley & Sons, Inc, 2007.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Büşra Uzun

Ömer Civalek 0000-0003-1907-9479

Yayımlanma Tarihi 28 Mayıs 2018
Kabul Tarihi 24 Mayıs 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 10 Sayı: 1

Kaynak Göster

APA 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. Mayıs 2018;10(1):1-4. doi:10.24107/ijeas.414628
Chicago Uzun, Büşra, ve Ömer Civalek. “Carbon Nanotube Beam Model and Free Vibration Analysis”. International Journal of Engineering and Applied Sciences 10, sy. 1 (Mayıs 2018): 1-4. https://doi.org/10.24107/ijeas.414628.
EndNote Uzun B, Civalek Ö (01 Mayıs 2018) Carbon Nanotube Beam Model and Free Vibration Analysis. International Journal of Engineering and Applied Sciences 10 1 1–4.
IEEE B. Uzun ve Ö. Civalek, “Carbon Nanotube Beam Model and Free Vibration Analysis”, IJEAS, c. 10, sy. 1, ss. 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 (Mayıs 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 ve Ömer Civalek. “Carbon Nanotube Beam Model and Free Vibration Analysis”. International Journal of Engineering and Applied Sciences, c. 10, sy. 1, 2018, ss. 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.

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