ON OPTIMUM DESIGN OF FRAME STRUCTURES
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F20%3A00342259" target="_blank" >RIV/68407700:21110/20:00342259 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/20:00342259
Result on the web
<a href="http://dx.doi.org/10.14311/APP.2020.26.0117" target="_blank" >http://dx.doi.org/10.14311/APP.2020.26.0117</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14311/APP.2020.26.0117" target="_blank" >10.14311/APP.2020.26.0117</a>
Alternative languages
Result language
angličtina
Original language name
ON OPTIMUM DESIGN OF FRAME STRUCTURES
Original language description
Optimization of frame structures is formulated as a non-convex optimization problem, which is currently solved to local optimality. In this contribution, we investigate four optimization approaches: (i) general non-linear optimization, (ii) optimality criteria method, (iii) non-linear semidefinite programming, and (iv) polynomial optimization. We show that polynomial optimization solves the frame structure optimization to global optimality by building the (moment-sums-of-squares) hierarchy of convex linear semidefinite programming problems, and it also provides guaranteed lower and upper bounds on optimal design. Finally, we solve three sample optimization problems and conclude that the local optimization approaches may indeed converge to local optima, without any solution quality measure, or even to infeasible points. These issues are readily overcome by using polynomial optimization, which exhibits a finite convergence, at the prize of higher computational demands.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
NMM 2019 Nano & Macro Mechanics
ISBN
978-80-01-06720-8
ISSN
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e-ISSN
2336-5382
Number of pages
9
Pages from-to
117-125
Publisher name
Czech Technical University in Prague
Place of publication
Praha
Event location
Praha
Event date
Sep 11, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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