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[122700] Artykuł:

Genetic Algorithm as a Tool for the Determination of the Self-Stress States of Tensegrity Domes

(Algorytm genetyczny jako narzędzie do określania stanów samonaprężenia kopuł tensegrity)
Czasopismo: Applied Sciences   Tom: 13, Zeszyt: 9, Strony: 5267
ISSN:  2076-3417
Opublikowano: Kwiecień 2023
Liczba arkuszy wydawniczych:  1.00
 
  Autorzy / Redaktorzy / Twórcy
Imię i nazwisko Wydział Katedra Do oświadczenia
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Justyna Tomasik orcid logo WBiAKatedra Teorii Konstrukcji i BIMNiedoktorant szkoły doktorskiejInżynieria lądowa, geodezja i transport3333.33.00  
Maryna Solovei orcid logo WBiAKatedra Teorii Konstrukcji i BIMNiedoktorant szkoły doktorskiejInżynieria lądowa, geodezja i transport3333.33.00  
Paulina Obara orcid logo WBiAKatedra Teorii Konstrukcji i BIMTakzaliczony do "N"Inżynieria lądowa, geodezja i transport3333.33100.00  

Grupa MNiSW:  Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A)
Punkty MNiSW: 100

Pełny tekstPełny tekst     DOI LogoDOI    
Słowa kluczowe:

stan samonaprężenia  algorytm genetyczny  kopuły tensegrity 

Keywords:

self-stress state  genetic algorithm  tensegrity domes 


Streszczenie:

Celem pracy jest znalezienie odpowiedniego stanu samonaprężenia struktur tensegrity. Pierwsze podejście zapewnia dokładne rozwiązania, ale jest odpowiednie dla prostych struktur. W drugim podejściu proponowanym w niniejszych badaniach zakłada się, że siły stanu samonaprężenia są zbiorem losowo wybranych wartości, które następnie są optymalizowane przez algorytm genetyczny. Ta procedura jest przeznaczona dla bardziej rozbudowanych struktur, dla których analiza spektralna identyfikuje wiele stanów samonaprężenia, które należy dodać do siebie poprzez superpozycję. Stosowane są dwa podejścia, tj. analiza spektralna macierzy kompatybilności i algorytm genetyczny. Procedury rozwiązania przedstawiono na przykładzie prostej dwuwymiarowej kratownicy. Następnie rozważane są trzy różne kopuły tensegrity, tj. Geigera Levy'ego i Kiewitta. Znacząca różnica między tymi kopułkami tkwi w układzie kabli. Otrzymane wyniki porównano z udokumentowanymi w literaturze. Z rozważań wynika, że ​​występujące w literaturze stany samonaprężenia nie zawsze są trafne (siły nie są samorównoważne). Przedstawione wyniki potwierdzają skuteczność algorytmu genetycznego znajdowania samorównoważnych systemów sił normalnych istniejących struktur. Proponowana metoda jest stosunkowo prosta i zapewnia wystarczająco dokładne wyniki.



Abstract:

The aim of the paper is to find the appropriate self-stress state of the tensegrity structures. The first approach provides exact solutions but is suitable for simple structures. In the second approach proposed in this research, it is assumed that the forces of the self-stressed state are a set of randomly selected values, which are then optimized by a genetic algorithm. This procedure is intended for more elaborate structures, for which the spectral analysis identifies many self-stress states that need to be superimposed. Two approaches are used, i.e., the spectral analysis of the compatibility matrix and the genetic algorithm. The solution procedures are presented on the example of a simple two-dimensional truss. Next, three different tensegrity domes are considered, i.e., Geiger, Levy and Kiewitt. The significant difference between these domes lies in the cable system. The obtained results are compared with those documented in the literature. It follows from the considerations that the self-stressed states found in the literature are not always accurate (forces do not balance themselves). The presented results confirm the effectiveness of the genetic algorithm for finding self-balanced forces of the existing structures. The method is relatively simple and provides sufficiently accurate results.


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