Experiments have shown that long cylinders buckle into localized patterns axially. It is argued that traditional linear or nonlinear analysis is unlikely to capture such modes, nor the effective buckling load at which such responses stabilise. However, the inherent translational indeterminacy of localised buckling is well captured by considering infinitely long cylinders and seeking homoclinic solutions of the \vKD equations. This exploits the dynamical analogy of such structural problems, so that symmetry arguments and numerical techniques developed for dynamical systems may be used. The method is illustrated by successful application to a cylinder which has well documented experimental results.
Additional information: Preprint of a paper submitted to the IUTAM Chaos '97 Conference
- long cylinders, localized buckling, homoclinic solutions