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

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Atanackovic, Teodor M, 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)

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.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/22263
DOI	10.1142/S0219455412500125
Official URL	http://www.worldscientific.com/doi/pdf/10.1142/S02...
Subjects	Current > Division/Research > College of Science and Engineering Historical > FOR Classification > 0905 Civil Engineering Historical > SEO Classification > 8702 Construction Design
Keywords	ResPubID26221, nonlocal column, pontryagin's principle, bimodal optimization
Citations in Scopus	8 - View on Scopus
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