• 文献标题:   Effects of eccentric circular perforation on thermal vibration of circular graphene sheets using translational addition theorem
  • 文献类型:   Article
  • 作  者:   MIRI M, FADAEE M
  • 作者关键词:   graphene sheet, nonlocal elasticity, thermal effect, translational addition theorem, eccentric hole
  • 出版物名称:   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
  • ISSN:   0020-7403 EI 1879-2162
  • 通讯作者地址:   Qom Univ Technol
  • 被引频次:   3
  • DOI:   10.1016/j.ijmecsci.2015.07.001
  • 出版年:   2015

▎ 摘  要

In this article, nonlocal thin plate theory of Eringen is employed to investigate effects of thermal environment on behavior of freely vibrating circular single layer graphene sheet containing a circular perforation of arbitrary size and location. In order to analytically solve equation of motion, the separation of variables method in conjunction with the translational addition theorem for Bessel functions is used. Accuracy and stability of results are verified by the literature. The behavior of sheets in low and high temperature conditions is considered. The influences of temperature change and various geometrical parameters on the natural frequencies are investigated by considering size-dependent material properties. In some cases, thermal buckling phenomenon was observed. Results show that the temperature changes play an important role in free vibration behavior of eccentric circular graphene sheets. (C) 2015 Elsevier Ltd. All rights reserved.