Аннотация:
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