Structural Engineering and Mechanics

  • 제66권6호
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  • Pages.693-701
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  • 2018
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A nonlocal strain gradient refined plate model for thermal vibration analysis of embedded graphene sheets via DQM

  • Ebrahimi, Farzad (Mechanical Engineering Department, Faculty of Engineering, Imam Khomeini International University) ;
  • Barati, Mohammad Reza (Mechanical Engineering Department, Faculty of Engineering, Imam Khomeini International University)
  • 투고 : 2018.01.05
  • 심사 : 2018.03.19
  • 발행 : 2018.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper develops a nonlocal strain gradient plate model for vibration analysis of graphene sheets under thermal environments. For more accurate analysis of graphene sheets, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. Graphene sheet is modeled via a two-variable shear deformation plate theory needless of shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on elastic substrate are derived via Hamilton's principle. Differential quadrature method (DQM) is implemented to solve the governing equations for different boundary conditions. Effects of different factors such as temperature rise, nonlocal parameter, length scale parameter, elastic foundation and aspect ratio on vibration characteristics a graphene sheets are studied. It is seen that vibration frequencies and critical buckling temperatures become larger and smaller with increase of strain gradient and nonlocal parameter, respectively.

키워드

참고문헌

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피인용 문헌

  1. Influence of shear preload on wave propagation in small-scale plates with nanofibers vol.70, pp.4, 2018, https://doi.org/10.12989/sem.2019.70.4.407
  2. Thermoelastic static and vibrational behaviors of nanocomposite thick cylinders reinforced with graphene vol.31, pp.5, 2019, https://doi.org/10.12989/scs.2019.31.5.529