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http://dx.doi.org/10.12989/anr.2020.8.4.265

Investigating vibrational behavior of graphene sheets under linearly varying in-plane bending load based on the nonlocal strain gradient theory  

Shariati, Ali (Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University)
Barati, Mohammad Reza (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University)
Ebrahimi, Farzad (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University)
Singhal, Abhinav (Department of Mathematics, Madanapalle Institute of Technology and Science)
Toghroli, Ali (Institute of Research and Development, Duy Tan University)
Publication Information
Advances in nano research / v.8, no.4, 2020 , pp. 265-276 More about this Journal
Abstract
A study that primarily focuses on nonlocal strain gradient plate model for the sole purpose of vibration examination, for graphene sheets under linearly variable in-plane mechanical loads. To study a better or more precise examination on graphene sheets, a new advance model was conducted which carries two scale parameters that happen to be related to the nonlocal as well as the strain gradient influences. Through the usage of two-variable shear deformation plate approach, that does not require the inclusion of shear correction factors, the graphene sheet is designed. Based on Hamilton's principle, fundamental expressions in regard to a nonlocal strain gradient graphene sheet on elastic half-space is originated. A Galerkin's technique is applied to resolve the fundamental expressions for distinct boundary conditions. Influence of distinct factors which can be in-plane loading, length scale parameter, load factor, elastic foundation, boundary conditions, and nonlocal parameter on vibration properties of the graphene sheets then undergo investigation.
Keywords
graphene sheets; free vibration; in-plane bending; nonlocal strain gradient; refined plate theory;
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Times Cited By KSCI : 2  (Citation Analysis)
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