ON THE ASYMPTOTIC ANALYSIS OF THE STATIC BUCKLING OF INFINITELY LONG AND HARMONICALLY IMPERFECT COLU

Using two somewhat different perturbation procedures, the static buckling load of some harmonically imperfect infinitely long columns lying on a quadratic – cubic nonlinear elastic foundation is determined. The perturbation parameter in the first scheme is given in terms of the displacement component, whereas the perturbation parameter in the second scheme is given in terms of the load component. The static buckling load and displacement are asymptotically calculated using both approaches, and the mathematical relationship between the static buckling load and defect amplitude is deduced.

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/965