Structural Engineering and Mechanics

  • 제54권6호
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  • Pages.1061-1073
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  • 2015
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear vibration analysis of a nonlocal sinusoidal shear deformation carbon nanotube using differential quadrature method

  • Pour, Hasan Rahimi (Young Researchers and Elite Club, Khomeyni Shahr Branch, Islamic Azad University) ;
  • Vossough, Hossein (Department of Civil Engineering, Jasb Branch, Islamic Azad University) ;
  • Heydari, Mohammad Mehdi (Department of Civil Engineering, Jasb Branch, Islamic Azad University) ;
  • Beygipoor, Gholamhossein (Young Researchers and Elite Club, Bandarabbas Branch, Islamic Azad University) ;
  • Azimzadeh, Alireza (Department of Mechanical Engineering, Kashan Branch, Islamic Azad University)
  • 투고 : 2014.10.14
  • 심사 : 2015.02.21
  • 발행 : 2015.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents a nonlocal sinusoidal shear deformation beam theory (SDBT) for the nonlinear vibration of single walled carbon nanotubes (CNTs). The present model is capable of capturing both small scale effect and transverse shear deformation effects of CNTs, and does not require shear correction factors. The surrounding elastic medium is simulated based on Pasternak foundation. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the CNTs are derived using Hamilton's principle. Differential quadrature method (DQM) for the natural frequency is presented for different boundary conditions, and the obtained results are compared with those predicted by the nonlocal Timoshenko beam theory (TBT). The effects of nonlocal parameter, boundary condition, aspect ratio on the frequency of CNTs are considered. The comparison firmly establishes that the present beam theory can accurately predict the vibration responses of CNTs.

키워드

참고문헌

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