• 文献标题:   LINEAR FREE VIBRATION OF GRAPHENE SHEETS WITH NANOPORE VIA AIFANTIS THEORY AND RITZ METHOD
  • 文献类型:   Article
  • 作  者:   ZIAEE S
  • 作者关键词:   free vibration, defective graphene sheet, aifantis theory, molecular structural mechanic
  • 出版物名称:   JOURNAL OF THEORETICAL APPLIED MECHANICS
  • ISSN:   1429-2955
  • 通讯作者地址:   Univ Yasuj
  • 被引频次:   0
  • DOI:   10.15632/jtam-pl.55.3.823
  • 出版年:   2017

▎ 摘  要

This article aims to study the natural frequency of defective graphene sheets since the existence of cut-outs in plates may be essential on the basis of their desired functionality. A combination of the Aifantis theory and Kirchhoff thin plate hypothesis is used to derive governing equations of motion. The Ritz method is employed to derive discrete equations of motion. The molecular structural mechanics method is also employed to specify the effective length scale parameter. In the 'numerical results' Section, the effects of different parameters such as boundary conditions and diameter of the hole-to-side length ratio on the fundamental frequency of graphene sheets are studied.