Global weight optimization of frame structures with polynomial programming
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F23%3A00581872" target="_blank" >RIV/67985556:_____/23:00581872 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/23:00370153
Result on the web
<a href="https://link.springer.com/article/10.1007/s00158-023-03715-5" target="_blank" >https://link.springer.com/article/10.1007/s00158-023-03715-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00158-023-03715-5" target="_blank" >10.1007/s00158-023-03715-5</a>
Alternative languages
Result language
angličtina
Original language name
Global weight optimization of frame structures with polynomial programming
Original language description
Weight optimization of frame structures with continuous cross-section parametrization is a challenging non-convex problem that has traditionally been solved by local optimization techniques. Here, we exploit its inherent semi-algebraic structure and adopt the Lasserre hierarchy of relaxations to compute the global minimizers. While this hierarchy generates a natural sequence of lower bounds, we show, under mild assumptions, how to project the relaxed solutions onto the feasible set of the original problem and thus construct feasible upper bounds. Based on these bounds, we develop a simple sufficient condition of global Ɛ-optimality. Finally, we prove that the optimality gap converges to zero in the limit if the set of global minimizers is convex. We demonstrate these results by means of two academic illustrations.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Structural and Multidisciplinary Optimization
ISSN
1615-147X
e-ISSN
1615-1488
Volume of the periodical
66
Issue of the periodical within the volume
12
Country of publishing house
DE - GERMANY
Number of pages
10
Pages from-to
257
UT code for WoS article
001124449100003
EID of the result in the Scopus database
2-s2.0-85179724837