APPLICATION OF PONTRYAGIN'S PRINCIPLE TO BIMODAL OPTIMIZATION OF NANO RODS-Reference-Cited by-同舟云学术

APPLICATION OF PONTRYAGIN'S PRINCIPLE TO BIMODAL OPTIMIZATION OF NANO RODS

Published:2012-05 Issue:03 Volume:12 Page:1250012
ISSN:0219-4554
Container-title:International Journal of Structural Stability and Dynamics
language:en
Short-container-title:Int. J. Str. Stab. Dyn.

Author:

ATANACKOVIC TEODOR M.¹,NOVAKOVIC BRANISLAVA N.¹,VRCELJ ZORA²

Affiliation:

1. Department of Mechanics, University of Novi Sad, Novi Sad, Trg Dositeja Obradovica 6, 21000 Novi Sad, Serbia

2. Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, UNSW, Sydney, 2052, NSW, Australia

Abstract

By using the Pontryagin's maximum principle, we determine optimal shape of a nonlocal elastic rod clamped at both ends. In the optimization procedure, we imposed restriction on the minimal value of the cross-sectional area. We showed that the optimization may be both unimodal and bimodal depending on the value of the restrictions and the value of characteristic length. Several concrete examples are treated in detail and the increase in buckling capacity is determined.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219455412500125

Reference20 articles.

1. J. L. Lagrange, Ouveres de Lagrange 2, ed. M. J.A. Serret (Gauthier-Villars, Paris, 1868) pp. 125–170.

2. The shape of the ideal column

3. Strongest Columns and Isoperimetric Inequalities for Eigenvalues

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