Unimodal and bimodal optimal design of extensible arches with respect to buckling and vibrations

DOI10.1002/OCA.4660020406zbMath0466.73119OpenAlexW1994732462MaRDI QIDQ3919247

Jan Błachut, Antoni Gajewski

Publication date: 1981

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.4660020406

zbMATH Keywords

optimal designPontryagin maximum principleexternal pressuregeometrical constraintsoptimal cross-sectional area functionfixed frequencyminimize the total volumeclamped- clamped archextensible arch

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Membranes (74K15) Optimization problems in solid mechanics (74P99) Variational principles of physics (49S05)

Cites Work

• Unnamed Item
• A note on unimodal and bimodal optimal design of vibrating compressed columns
• On single and bimodal optimum buckling loads of clamped columns
• Non-stationary optimality conditions in structural design
• Postbuckling Analysis of Continuous, Elastic Systems Under Multiple Loads—Part 1: Theory

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