Application of Lamé's Super Ellipsoids to Model Initial Imperfections-Reference-Cited by-同舟云学术

Application of Lamé's Super Ellipsoids to Model Initial Imperfections

Published:2013-08-19 Issue:6 Volume:80 Page:
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Elishakoff Isaac¹,Bekel Yannis²

Affiliation:

1. ASME Fellow Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431-0991 e-mail:

2. Ecole Centrale Paris, Châtenay-Malabry 92 290, France

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/doi/10.1115/1.4023679/6078297/jam_080_06_061006.pdf

Reference19 articles.

1. On the Accumulation of Disturbances in Linear Systems With Constant Coefficients;Dokl. Akad. Nauk SSSR,1946

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