Vibration of Nonlinear Nonlocal Elastic Column with Initial Imperfection

摘要

This paper is focused on obtaining explicit analytical approximate solutions via a simple but rigorous new procedure, namely the Optimal Auxiliary Functions Method (OAFM) for the post buckling behavior of an initially imperfect nonlocal elastic column. The column is simply supported at one end and subjected to an axially force at the other movable end. We assume that Euler-Bernoulli hypothesis holds and Eringen's nonlocal elasticity is adopted. The accuracy of our procedure is proved by numerical simulations developed in order to validate approximate analytical results.