Structural Engineering and Mechanics

  • 제72권1호
  • /
  • Pages.71-81
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  • 2019
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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

Frequency response of initially deflected nanotubes conveying fluid via a nonlinear NSGT model

  • Farajpour, Ali (School of Mechanical Engineering, University of Adelaide) ;
  • Ghayesh, Mergen H. (School of Mechanical Engineering, University of Adelaide) ;
  • Farokhi, Hamed (Department of Mechanical and Construction Engineering, Northumbria University)
  • 투고 : 2019.04.11
  • 심사 : 2019.05.13
  • 발행 : 2019.10.10
⟨ 이전 논문 다음 논문 ⟩

초록

The objective of this paper is to develop a size-dependent nonlinear model of beams for fluid-conveying nanotubes with an initial deflection. The nonlinear frequency response of the nanotube is analysed via an Euler-Bernoulli model. Size influences on the behaviour of the nanosystem are described utilising the nonlocal strain gradient theory (NSGT). Relative motions at the inner wall of the nanotube is taken into consideration via Beskok-Karniadakis model. Formulating kinetic and elastic energies and then employing Hamilton's approach, the nonlinear motion equations are derived. Furthermore, Galerkin's approach is employed for discretisation, and then a continuation scheme is developed for obtaining numerical results. It is observed that an initial deflection significantly alters the frequency response of NSGT nanotubes conveying fluid. For small initial deflections, a hardening nonlinearity is found whereas a softening-hardening nonlinearity is observed for large initial deflections.

키워드

참고문헌

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