Optimization problems for curved mechanical structures

We study optimal design problems for three-dimensional curved rods and for shells under minimal regularity assumptions for the geometry. The results that we establish concern the existence of optimal shapes and the sensitivity analysis. We also compute some numerical examples for the optimization of...

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Bibliographic Details
Published in:SIAM journal on control and optimization 2005-01, Vol.44 (2), p.743-775
Main Authors: ARNAUTT, Vtorel, SPREKELS, Jürgen, TIRA, Dan
Format: Article
Language:English
Subjects:
Applied mathematics
Applied sciences
Approximation
Boundary conditions
Computer science
control theory
systems
Control theory. Systems
Design optimization
Exact sciences and technology
Experiments
Geometry
Hypotheses
Mathematical programming
Operational research and scientific management
Operational research. Management science
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Summary:We study optimal design problems for three-dimensional curved rods and for shells under minimal regularity assumptions for the geometry. The results that we establish concern the existence of optimal shapes and the sensitivity analysis. We also compute some numerical examples for the optimization of curved rods. The models used have been investigated in our previous works [A. Ignat, J. Sprekels, and D. Tiba, Math. Methods Appl. Sci., 25 (2002), pp. 835--854], [J. Sprekels and D. Tiba, Adv. Math. Sci. Appl., 12 (2002), pp. 175--190]. A complete study of Kirchhoff--Love arches and of related minimization questions has been performed in [A. Ignat, J. Sprekels, and D. Tiba, SIAM J. Control Optim., 40 (2001), pp. 1107--1133].
ISSN:0363-0129
1095-7138
DOI:10.1137/S0363012903426252