Advances in nano research

  • 제6권2호
  • /
  • Pages.163-182
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  • 2018
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  • 2287-237X(pISSN)
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  • 2287-2388(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Nonlinear vibration analysis of an embedded multi-walled carbon nanotube

  • Wu, Chih-Ping (Department of Civil Engineering, National Cheng Kung University) ;
  • Chen, Yan-Hong (Department of Civil Engineering, National Cheng Kung University) ;
  • Hong, Zong-Li (Department of Civil Engineering, National Cheng Kung University) ;
  • Lin, Chia-Hao (Department of Civil Engineering, National Cheng Kung University)
  • 투고 : 2017.01.25
  • 심사 : 2018.06.17
  • 발행 : 2018.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

Based on the Reissner mixed variational theorem (RMVT), the authors present a nonlocal Timoshenko beam theory (TBT) for the nonlinear free vibration analysis of multi-walled carbon nanotubes (MWCNT) embedded in an elastic medium. In this formulation, four different edge conditions of the embedded MWCNT are considered, two different models with regard to the van der Waals interaction between each pair of walls constituting the MWCNT are considered, and the interaction between the MWCNT and its surrounding medium is simulated using the Pasternak-type foundation. The motion equations of an individual wall and the associated boundary conditions are derived using Hamilton's principle, in which the von $K{\acute{a}}rm{\acute{a}}n$ geometrical nonlinearity is considered. Eringen's nonlocal elasticity theory is used to account for the effects of the small length scale. Variations of the lowest frequency parameters with the maximum modal deflection of the embedded MWCNT are obtained using the differential quadrature method in conjunction with a direct iterative approach.

키워드

과제정보

연구 과제 주관 기관 : Ministry of Science and Technology

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