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On bending, buckling and vibration of graphene nanosheets based on the nonlocal theory
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  • Journal title : Smart Structures and Systems
  • Volume 17, Issue 2,  2016, pp.257-274
  • Publisher : Techno-Press
  • DOI : 10.12989/sss.2016.17.2.257
 Title & Authors
On bending, buckling and vibration of graphene nanosheets based on the nonlocal theory
Liu, Jinjian; Chen, Ling; Xie, Feng; Fan, Xueliang; Li, Cheng;
 Abstract
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.
 Keywords
bending;buckling;free vibration;forced vibration;nonlocal theory;graphene nanosheets;
 Language
English
 Cited by
1.
Electro-mechanical vibration of nanoshells using consistent size-dependent piezoelectric theory,;;

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Nonlocal Thermo-Electro-Mechanical coupling vibrations of axially moving piezoelectric nanobeams, Mechanics Based Design of Structures and Machines, 2017, 45, 4, 463  crossref(new windwow)
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Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory, Applied Mathematical Modelling, 2017, 45, 65  crossref(new windwow)
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