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Carbon Nanotube Beam Model and Free Vibration Analysis

Year 2018, Volume: 10 Issue: 1, 1 - 4, 28.05.2018

Büşra Uzun Ömer Civalek

https://doi.org/10.24107/ijeas.414628
Cited By: 2

Abstract

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.

Keywords

Carbon nanotube free vibration Euler-Bernoulli frequency

References

  • [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.

Year 2018, Volume: 10 Issue: 1, 1 - 4, 28.05.2018

Büşra Uzun Ömer Civalek

https://doi.org/10.24107/ijeas.414628
Cited By: 2

Abstract

References

  • [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.
There are 16 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Büşra Uzun

Ömer Civalek 0000-0003-1907-9479

Publication Date May 28, 2018
Acceptance Date May 24, 2018
Published in Issue Year 2018 Volume: 10 Issue: 1

Cite

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. 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.

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