期刊
SMART STRUCTURES AND SYSTEMS
卷 17, 期 2, 页码 257-274出版社
TECHNO-PRESS
DOI: 10.12989/sss.2016.17.2.257
关键词
bending; buckling; free vibration; forced vibration; nonlocal theory; graphene nanosheets
资金
- Soochow Scholar Programme of Soochow University
- National Natural Science Foundation of China [51406128]
- Natural Science Foundation of Jiangsu Province [BK20140342, BK20130303]
- Suzhou Bureau of Science and Technology [SYG201537]
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.
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