On bending, buckling and vibration of graphene nanosheets based on the nonlocal theory

DOI QR코드

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Liu, Jinjian;Chen, Ling;Xie, Feng;Fan, Xueliang;Li, Cheng

  • 투고 : 2015.07.06
  • 심사 : 2015.12.08
  • 발행 : 2016.02.25

초록

The nonlocal static bending, buckling, free and forced vibrations of graphene nanosheets are examined based on the Kirchhoff plate theory and Taylor expansion approach. The nonlocal nanoplate model incorporates the length scale parameter which can capture the small scale effect. The governing equations are derived using Hamilton's principle and the Navier-type solution is developed for simply-supported graphene nanosheets. The analytical results are proposed for deflection, natural frequency, amplitude of forced vibration and buckling load. Moreover, the effects of nonlocal parameter, half wave number and three-dimensional sizes on the static, dynamic and stability responses of the graphene nanosheets are discussed. Some illustrative examples are also addressed to verify the present model, methodology and solution. The results show that the new nanoplate model produces larger deflection, smaller circular frequencies, amplitude and buckling load compared with the classical model.

키워드

bending;buckling;free vibration;forced vibration;nonlocal theory;graphene nanosheets

참고문헌

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피인용 문헌

  1. 1. A semi-continuum-based bending analysis for extreme-thin micro/nano-beams and new proposal for nonlocal differential constitution vol.172, 2017, doi:10.12989/sss.2016.17.2.257
  2. 2. Nonlocal Thermo-Electro-Mechanical coupling vibrations of axially moving piezoelectric nanobeams vol.45, pp.4, 2017, doi:10.12989/sss.2016.17.2.257
  3. 3. Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory vol.45, 2017, doi:10.12989/sss.2016.17.2.257

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China