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Application of Pontryagin's principle to bimodal buckling optimization of micro and nano rods

Atanackovic, Teodor M and Novakovic, Branislava N and Vrcelj, Zora (2012) Application of Pontryagin's principle to bimodal buckling optimization of micro and nano rods. International Journal of Structural Stability and Dynamics , 12 (3). ISSN 0219-4554 (print) 1793-6764 (online)

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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.

Item Type: Article
Uncontrolled Keywords: ResPubID26221, nonlocal column, pontryagin's principle, bimodal optimization
Subjects: Faculty/School/Research Centre/Department > College of Science and Engineering
FOR Classification > 0905 Civil Engineering
SEO Classification > 8702 Construction Design
Depositing User: Yimin Zeng
Date Deposited: 20 Nov 2013 03:40
Last Modified: 12 Dec 2014 01:38
URI: http://vuir.vu.edu.au/id/eprint/22263
DOI: 10.1142/S0219455412500125
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Citations in Scopus: 2 - View on Scopus

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