Explicit Isogeometric Topology Optimization Method with Suitably Graded Truncated Hierarchical B-Spline Article Swipe
Haoran Zhu
,
Xinhao Gao
,
Aodi Yang
,
Shuting Wang
,
Xianda Xie
,
Tifan Xiong
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.32604/cmes.2022.023454
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.32604/cmes.2022.023454
This work puts forward an explicit isogeometric topology optimization (ITO) method using moving morphable components (MMC), which takes the suitably graded truncated hierarchical B-Spline based isogeometric analysis as the solver of physical unknown (SGTHB-ITO-MMC). By applying properly basis graded constraints to the hierarchical mesh of truncated hierarchical B-splines (THB), the convergence and robustness of the SGTHB-ITOMMC are simultaneously improved and the tiny holes occurred in optimized structure are eliminated, due to the improved accuracy around the explicit structural boundaries. Moreover, an efficient computational method is developed for the topological description functions (TDF) of MMC under the admissible hierarchical mesh, which consists of reducing the dimensionality strategy for design space and the locally computing strategy for hierarchical mesh. We apply the above SGTHB-ITO-MMC with improved efficiency to a series of 2D and 3D compliance design problems. The numerical results show that the proposed SGTHB-ITO-MMC method outperforms the traditional THB-ITO-MMC method in terms of convergence rate and efficiency. Therefore, the proposed SGTHB-ITO-MMC is an effective way of solving topology optimization (TO) problems.
Related Topics
Concepts
Isogeometric analysis
Topology optimization
Solver
Mathematical optimization
Computer science
Topology (electrical circuits)
Robustness (evolution)
Spline (mechanical)
Basis function
Convergence (economics)
Curse of dimensionality
Rate of convergence
Mathematics
Algorithm
Finite element method
Mathematical analysis
Artificial intelligence
Chemistry
Biochemistry
Economics
Gene
Combinatorics
Thermodynamics
Physics
Engineering
Computer network
Channel (broadcasting)
Economic growth
Structural engineering
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.32604/cmes.2022.023454
- https://file.techscience.com/ueditor/files/cmes/135-2/TSP_CMES_23454/TSP_CMES_23454.pdf
- OA Status
- diamond
- Cited By
- 2
- References
- 33
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4292707303
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4292707303Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.32604/cmes.2022.023454Digital Object Identifier
- Title
-
Explicit Isogeometric Topology Optimization Method with Suitably Graded Truncated Hierarchical B-SplineWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-08-23Full publication date if available
- Authors
-
Haoran Zhu, Xinhao Gao, Aodi Yang, Shuting Wang, Xianda Xie, Tifan XiongList of authors in order
- Landing page
-
https://doi.org/10.32604/cmes.2022.023454Publisher landing page
- PDF URL
-
https://file.techscience.com/ueditor/files/cmes/135-2/TSP_CMES_23454/TSP_CMES_23454.pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
-
https://file.techscience.com/ueditor/files/cmes/135-2/TSP_CMES_23454/TSP_CMES_23454.pdfDirect OA link when available
- Concepts
-
Isogeometric analysis, Topology optimization, Solver, Mathematical optimization, Computer science, Topology (electrical circuits), Robustness (evolution), Spline (mechanical), Basis function, Convergence (economics), Curse of dimensionality, Rate of convergence, Mathematics, Algorithm, Finite element method, Mathematical analysis, Artificial intelligence, Chemistry, Biochemistry, Economics, Gene, Combinatorics, Thermodynamics, Physics, Engineering, Computer network, Channel (broadcasting), Economic growth, Structural engineeringTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
2Total citation count in OpenAlex
- Citations by year (recent)
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2024: 2Per-year citation counts (last 5 years)
- References (count)
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33Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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