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Optimiranje oblike lupinastih konstrukcij
Kegl, Marko ; Brank, Boštjan ; Jaklič, Miha
Članek predstavlja pristop k optimalnemu projektiranju elastičnih, statično obremenjenih lupin. Oblika in vpetje lupine, kakor tudi njena debelina, so odvisni od spremenljivih parametrov - projektnih ...spremenljivk. Spremenljivo obliko in vpetje konstrukcije smo dosegli s tehniko projektnih elementov in uporabo ustreznega projektnega elementa - racionalne Bézierjeve ploskve pravokotnega tipa. Uporabljeni končni element je geometrijsko linearen 4-vozliščni končni element. Optimizacijsko nalogo smo formulirali v obliki standardnega problema matematičnega programiranja. Ker so projektne spremenljivke zvezne, smo rešitve optimizacijske naloge iskali z uporabo gradientne optimizacijske metode. Za ilustracijo omenjene teorije je predstavljen in rešen optimizacijski problem minimizacije deformacijske energije armiranobetonske lupine.
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