Structural Engineering and Mechanics

  • 제54권5호
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  • Pages.987-998
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  • 2015
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

An analytical study on the nonlinear vibration of a double-walled carbon nanotube

  • Hajnayeb, Ali (Mechanical Engineering Department, Engineering Faculty, Shahid Chamran University of Ahvaz) ;
  • Khadem, S.E. (Mechanical & Aerospace Engineering Department, Tarbiat Modares University)
  • 투고 : 2014.09.09
  • 심사 : 2015.04.16
  • 발행 : 2015.06.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, free vibrations of a clamped-clamped double-walled carbon nanotube (DWNT) under axial force is studied. By utilizing Euler-Bernoulli beam theory, each layer of DWNT is modeled as a beam. In this analysis, nonlinear form of interlayer van der Waals (vdW) forces and nonlinearities aroused from mid-plane stretching are also considered in the equations of motion. Further, direct application of multiple scales perturbation method is utilized to solve the obtained equations and to analyze free vibrations of the DWNT. Therefore, analytical expressions are found for vibrations of each layer. Linear and nonlinear natural frequencies of the system and vibration amplitude ratios of inner to outer layers are also obtained. Finally, the results are compared with the results obtained by Galerkin method.

키워드

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