Skip to main content

Research Repository

Advanced Search

Study on the effect of an eccentric hole on the vibrational behavior of a graphene sheet using an analytical approach

Fadaee, M.; Ilkhani, M. R.

Authors

M. Fadaee



Abstract

Because of the production process and constraint conditions, a circular graphene sheet may be opposed to structural defect and pin hole, respectively. Some of the defects and pin hole on a circular graphene sheet can be considered as an eccentric hole. So, analyzing the behavior of a circular graphene sheet with an eccentric hole is important. Free vibration of an eccentric annular graphene sheet, as the basis of any dynamical analysis, is analytically studied in this paper. Nonlocal thin plate theory is used to model the problem. The translational addition theorem for cylindrical vector wave functions is employed to solve the equation of motion for various boundary conditions. Results are compared with the literature, and their accuracy is approved. Effects of boundary conditions, geometrical properties and nonlocal parameter changes on symmetric and antisymmetric vibrational modes are investigated. It is approved that the eccentricity has a significant effect on the natural frequencies. Also, symmetric and antisymmetric modes of an annular graphene sheet have different behavior when geometrical and nonlocal parameters change.

Citation

Fadaee, M., & Ilkhani, M. R. (2015). Study on the effect of an eccentric hole on the vibrational behavior of a graphene sheet using an analytical approach. Acta Mechanica, 226, 1395-1407. https://doi.org/10.1007/s00707-014-1259-1

Journal Article Type Article
Acceptance Date Nov 9, 2014
Online Publication Date Nov 9, 2014
Publication Date 2015-05
Deposit Date Feb 27, 2025
Journal Acta Mechanica
Print ISSN 0001-5970
Electronic ISSN 1619-6937
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 226
Pages 1395-1407
DOI https://doi.org/10.1007/s00707-014-1259-1
Keywords Mechanical Engineering; Computational Mechanics
Public URL https://nottingham-repository.worktribe.com/output/2636760


You might also like



Downloadable Citations