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.
Application of Lamé's Super Ellipsoids to Model Initial Imperfections
Manuscript received June 26, 2012; final manuscript received January 15, 2013; accepted manuscript posted February 14, 2013; published online August 19, 2013. Assoc. Editor: Wei-Chau Xie.
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Elishakoff, I., and Bekel, Y. (August 19, 2013). "Application of Lamé's Super Ellipsoids to Model Initial Imperfections." ASME. J. Appl. Mech. November 2013; 80(6): 061006. https://doi.org/10.1115/1.4023679
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