• 文献标题:   Influence of initial shear stress on the vibration behavior of single-layered graphene sheets embedded in an elastic medium based on Reddy's higher-order shear deformation plate theory
  • 文献类型:   Article
  • 作  者:   EBRAHIMI F, SHAFIEI N
  • 作者关键词:   elastic medium, reddy s higherorder shear deformation plate theory, singlelayered graphene sheet, smallscale effect, vibration
  • 出版物名称:   MECHANICS OF ADVANCED MATERIALS STRUCTURES
  • ISSN:   1537-6494 EI 1537-6532
  • 通讯作者地址:   Imam Khomeini Int Univ
  • 被引频次:   34
  • DOI:   10.1080/15376494.2016.1196781
  • 出版年:   2017

▎ 摘  要

In this article, the small-scale effect on the vibration behavior of orthotropic single-layered graphene sheets is studied based on the nonlocal Reddy's plate theory embedded in elastic medium considering initial shear stress. Elastic theory of the graphene sheets is reformulated using the nonlocal differential constitutive relations of Eringen. To simulate the interaction between the graphene sheet and surrounding elastic medium we used both Winkler-type and Pasternak-type foundation models. The effects of initial shear stress and surrounding elastic medium and boundary conditions on the vibration analysis of orthotropic single-layered graphene sheets are studied considering five different boundary conditions. Numerical approach of the obtained equation is derived by differential quadrature method. Effects of shear stress, nonlocal parameter, size of the graphene sheets, stiffness of surrounding elastic medium, and boundary conditions on vibration frequency rate are investigated. The results reveal that as the stiffness of the surrounding elastic medium increases, the nonlocal effect decreases. Further, the nonlocal effect increases as the size of the graphene sheet is decreased. It is also found that the frequency ratios decrease with an increase in vibration modes.