On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area

On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area

By using Pontryagin’s principle we study the optimal shape of an elastic compressed column with clamped ends and restrictions on cross-sectional area. The restrictions are imposed on either maximum or both minimal and maximum value of the cross-sectional area. We analyzed a column on elastic foundat...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Structural and multidisciplinary optimization 2011-05, Vol.43 (5), p.683-691
Hauptverfasser: Novakovic, Branislava N., Atanackovic, Teodor M.
Format: Artikel
Sprache:eng
Schlagworte:
Computational Mathematics and Numerical Analysis
Constrictions
Cross-sections
Elastic foundations
Engineering
Engineering Design
Optimization
Product design
Research Paper
Theoretical and Applied Mechanics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:By using Pontryagin’s principle we study the optimal shape of an elastic compressed column with clamped ends and restrictions on cross-sectional area. The restrictions are imposed on either maximum or both minimal and maximum value of the cross-sectional area. We analyzed a column on elastic foundation of Winkler type and a column without foundation. It is shown that the optimization can be both bimodal and unimodal. We determine the transition value between unimodal and bimodal optimization for specified values of parameters.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-010-0609-4