Application of Lame's Super Ellipsoids to Model Initial Imperfections

摘要

In this paper, we investigate initial imperfections of structures that are modeled as belonging to a super ellipse or super ellipsoid. This extends previous analysis of regular ellipsoidal sets. We determine minimum area or minimum volume to which available data may belong. The methodology is illustrated on the case of impact buckling of a column possessing initial imperfections.