A nodal‐based evolutionary optimization algorithm for frame structures Article Swipe
Xuyu Zhang
,
Yi Min Xie
,
Shiwei Zhou
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1111/mice.12834
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1111/mice.12834
This work proposes a nodal‐based evolutionary design optimization algorithm to design frame structures whose edges are the Delaunay triangulation of homogeneously distributed nodes in the design domain. The remaining nodes can freely sway in the design domain except for the loading nodes and boundary nodes. As a result, it can extend the space of admissible solutions to this optimization problem and reduce the number of design variables. Then, the sensitivity of the objective function, namely, the sum of compliance and its volume, is input into the method of moving asymptotes to update the nodal coordinates and member thickness. The most inefficient node is deleted in each iteration based on the average nodal strain energy until its number reaches a prescribed limit. 2D numerical examples for the Michell arch, L‐shaped bracket, and Messerschmidt–Bölkow–Blohm beam show that the proposed algorithm can get the optimal structure within a few iterations. Compared with initial configurations in 3D, the optimal crane arm, transmission tower, and aquatic dome have less strain energy and fewer materials, showing a great potential of the proposed method to design actual space frames.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1111/mice.12834
- https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/mice.12834
- OA Status
- hybrid
- Cited By
- 25
- References
- 77
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4220878140
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https://openalex.org/W4220878140Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1111/mice.12834Digital Object Identifier
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A nodal‐based evolutionary optimization algorithm for frame structuresWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-03-05Full publication date if available
- Authors
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Xuyu Zhang, Yi Min Xie, Shiwei ZhouList of authors in order
- Landing page
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https://doi.org/10.1111/mice.12834Publisher landing page
- PDF URL
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https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/mice.12834Direct link to full text PDF
- Open access
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YesWhether a free full text is available
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hybridOpen access status per OpenAlex
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https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/mice.12834Direct OA link when available
- Concepts
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Node (physics), Algorithm, Mathematical optimization, Mathematics, Domain (mathematical analysis), Optimization problem, Frame (networking), Optimal design, Topology (electrical circuits), Computer science, Structural engineering, Combinatorics, Statistics, Telecommunications, Mathematical analysis, EngineeringTop concepts (fields/topics) attached by OpenAlex
- Cited by
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25Total citation count in OpenAlex
- Citations by year (recent)
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2025: 6, 2024: 10, 2023: 7, 2022: 2Per-year citation counts (last 5 years)
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77Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W1972290341, https://openalex.org/W1995956937, https://openalex.org/W2982628822, https://openalex.org/W2009064117, https://openalex.org/W2169359841, https://openalex.org/W2141377530, https://openalex.org/W2090445273, https://openalex.org/W2092801729, https://openalex.org/W2069697210, https://openalex.org/W2797956793, https://openalex.org/W2075005579, https://openalex.org/W2312574836, https://openalex.org/W2003400901, https://openalex.org/W2057409825, https://openalex.org/W2311869530, https://openalex.org/W2224338279, https://openalex.org/W1968134943, https://openalex.org/W2891701086, https://openalex.org/W2761960898, https://openalex.org/W1558658714, https://openalex.org/W6771803808, https://openalex.org/W2342583380, https://openalex.org/W2001852834, https://openalex.org/W2291795444, https://openalex.org/W2120191698, https://openalex.org/W1981986012, https://openalex.org/W2766069146, https://openalex.org/W2030226640, https://openalex.org/W1654641097, https://openalex.org/W2172968110, https://openalex.org/W2918082440, https://openalex.org/W2022488440, https://openalex.org/W2051496577, https://openalex.org/W2009308375, https://openalex.org/W2019955797, https://openalex.org/W2328395548, https://openalex.org/W1990480797, https://openalex.org/W2912215395, https://openalex.org/W2790070592, https://openalex.org/W2002827932, https://openalex.org/W4240834238, https://openalex.org/W2897549735, https://openalex.org/W2028518378, https://openalex.org/W1997188340, https://openalex.org/W2000173386, https://openalex.org/W2097548601, https://openalex.org/W2074677076, https://openalex.org/W2004679400, https://openalex.org/W3011778998, https://openalex.org/W2250889541, https://openalex.org/W2042396118, https://openalex.org/W2029547267, https://openalex.org/W3046534993, https://openalex.org/W1973282871, https://openalex.org/W2131917475, https://openalex.org/W2181487444, https://openalex.org/W2071269152, https://openalex.org/W2061005234, https://openalex.org/W2541406329, https://openalex.org/W1963679962, https://openalex.org/W2062523101, https://openalex.org/W2399693004, https://openalex.org/W3119179001, https://openalex.org/W2062714304, https://openalex.org/W1998519521, https://openalex.org/W3194327457, https://openalex.org/W2132034927, https://openalex.org/W3005869991, https://openalex.org/W3085409945, https://openalex.org/W2086674516, https://openalex.org/W1975603458, https://openalex.org/W2004945242, https://openalex.org/W1517115540, https://openalex.org/W2995530868, https://openalex.org/W48934524, https://openalex.org/W1575923498, https://openalex.org/W2905279839 |
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| corresponding_author_ids | https://openalex.org/A5030412244 |
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| institutions_distinct_count | 3 |
| corresponding_institution_ids | https://openalex.org/I82951845 |
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