0
Research Papers

Application of Lamé's Super Ellipsoids to Model Initial Imperfections

[+] Author and Article Information
Isaac Elishakoff

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

Yannis Bekel

Ecole Centrale Paris,
Châtenay-Malabry 92 290, France

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.

J. Appl. Mech 80(6), 061006 (Aug 19, 2013) (9 pages) Paper No: JAM-12-1264; doi: 10.1115/1.4023679 History: Received June 26, 2012; Revised January 15, 2013; Accepted February 14, 2013

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Enclosing of the convex hull of 10 points by a super ellipsoid

Grahic Jump Location
Fig. 2

Set of 10 points listed in Table 1

Grahic Jump Location
Fig. 3

Convex hull of 10 points listed in Table 1 and depicted in Fig. 1

Grahic Jump Location
Fig. 4

Enclosing of the convex hull of 10 points by a candidate rectangle

Grahic Jump Location
Fig. 5

Enclosing of the convex hull of 10 points by a candidate rectangle

Grahic Jump Location
Fig. 6

Enclosing of the convex hull of 10 points by a candidate rectangle

Grahic Jump Location
Fig. 7

Maximum normalized deflection versus normalized time at ξ = 0.5 for different values of the load ratio

Grahic Jump Location
Fig. 8

Maximum normalized deflection versus normalized time for different values of ξ and with load ratio equals 2

Grahic Jump Location
Fig. 9

Maximum normalized deflection versus normalized time at ξ = 0.5 for different values of the load ratio

Grahic Jump Location
Fig. 10

Maximum normalized deflection versus normalized time at ξ = 0.4 for different values of the load ratio

Grahic Jump Location
Fig. 11

Maximum normalized deflection versus normalized time for different values of ξ and with load ratio = 2

Grahic Jump Location
Fig. 12

Maximum normalized deflection versus normalized position (ξ) for different values of normalized time (τ) and with load ratio = 2

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In