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Journal of Nanomaterials
Volume 2018, Article ID 6508061, 14 pages
Research Article

Vibration Analysis of Bilayered Graphene Sheets for Building Materials in Thermal Environments Based on the Element-Free Method

1School of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou 215009, China
2School of Science, Nanjing University of Science and Technology, Nanjing 210094, China
3Institute for Automatic Control and Complex Systems (AKS), Faculty of Engineering, University of Duisburg-Essen, Duisburg, Germany
4College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Correspondence should be addressed to Fuyuan Hu; nc.ude.stsu.liam@uhnauyuf and Qing Gao; moc.liamg@ecnahc.oag.gniq

Received 26 September 2017; Revised 12 December 2017; Accepted 16 January 2018; Published 11 April 2018

Academic Editor: Chengyuan Wang

Copyright © 2018 Zhengtian Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Graphene sheets are widely applied due to their unique and highly valuable properties, such as energy conservation materials in buildings. In this paper, we investigate the vibration behavior of double layer graphene sheets (DLGSs) in thermal environments which helps probe into the mechanism of energy conservation of graphene sheets in building materials. The nonlocal elastic theory and classical plate theory (CLPT) are used to derive the governing equations. The element-free method is employed to analyze the vibration behaviors of DLGSs embedded in an elastic medium. The accuracy of the solutions in this study is demonstrated by comparison with published results in the literature. Furthermore, a number of numerical results are presented to investigate the effects of various parameters (boundary conditions, nonlocal parameter, aspect ratio, side length, elastic foundation parameter, and temperature) on the frequency of DLGSs.