The optimal design of tubular structures

DOI10.1016/S0377-0427(99)00288-5zbMath0952.74058WikidataQ127147788 ScholiaQ127147788MaRDI QIDQ1970387

C. Maeve McCarthy

Publication date: 21 March 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonsmooth analysisspectrumrearrangementsSturm-Liouville operatorfirst eigenvalueself-weightnecessary conditions of optimalityannular cross-sectionextremal eigenvalue problemexistence of optimal designfixed volume of materialtallest tubular column

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Optimization of other properties in solid mechanics (74P10)

Related Items (1)

Helly's selection principle for functions of bounded \(p\)-variation

Cites Work

• The two phase drum with the deepest bass note
• The tallest column -- optimality revisited
• On the Optimal Design of Columns Against Buckling
• The Shape of the Tallest Column
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The optimal design of tubular structures