On the Buckling of Euler Graphene Beams Subject to Axial Compressive Load
Loading...
Date
2014
Authors
Elgindi, Mohamed B. M.
Wei, Dongming
Soukiassian, Yeran
Liu, Yu
Journal Title
Journal ISSN
Volume Title
Publisher
World Journal of Engineering and Technology
Abstract
In this paper, we consider the buckling of an Euler-Bernoulli graphene beam due to an axial compressive
load. We formulate the problem as a non-linear (eigenvalue) two-point boundary value
problem, prove some properties of the eigenpairs and introduce a suitable numerical shooting
method scheme for approximating them. We present the perturbation and the numerical approximations
of the first and second buckling loads and the corresponding shapes
Description
Keywords
Critical Buckling Load, Graphene, Euler-Bernoulli Beam, Non-Linear Eigenvalue Problem, Shooting Method
Citation
Mohamed B. M. Elgindi1, Dongming Wei, Yeran Soukiassian, Yu Liu; 2014; On the Buckling of Euler Graphene Beams Subject to Axial Compressive Load; World Journal of Engineering and Technology; http://nur.nu.edu.kz/handle/123456789/1921