A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method
Density variables based on nodal or Gaussian points are naturally incorporated in meshless topology optimization approaches, pursuing distinct topological layouts with solid and void solutions. However, engineering applications have been hampered by the fact that the authentic structure boundary can...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-12-01
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| Series: | Computation |
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| Online Access: | https://www.mdpi.com/2079-3197/13/1/6 |
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| author | Jingbo Huang Kai Long Yutang Chen Rongrong Geng Ayesha Saeed Hui Zhang Tao Tao |
| author_facet | Jingbo Huang Kai Long Yutang Chen Rongrong Geng Ayesha Saeed Hui Zhang Tao Tao |
| author_sort | Jingbo Huang |
| collection | DOAJ |
| description | Density variables based on nodal or Gaussian points are naturally incorporated in meshless topology optimization approaches, pursuing distinct topological layouts with solid and void solutions. However, engineering applications have been hampered by the fact that the authentic structure boundary cannot be identified without manual intervention. To alleviate this issue, the Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT) method is developed within the context of meshless approximation. In meshless analysis, the non-overlap cell variables instead of nodal or Gaussian-based variables are adopted to characterize the existence or absence of sub-regions. This work proposes a non-penalized SEMDOT where an interpolation-based heuristic sensitivity expression is utilized. The 2D and 3D compliance minimization problems serve to validate the efficiency and applicability of the proposed non-penalized SEMDOT approach based on the framework of the meshless method. The numerical results demonstrated that the proposed approach is capable of generating final designs with continuous and smooth edges or surfaces. |
| format | Article |
| id | doaj-art-f53397b76ef9477d9db9b20ee6e761a7 |
| institution | Kabale University |
| issn | 2079-3197 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computation |
| spelling | doaj-art-f53397b76ef9477d9db9b20ee6e761a72025-01-24T13:27:46ZengMDPI AGComputation2079-31972024-12-01131610.3390/computation13010006A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology MethodJingbo Huang0Kai Long1Yutang Chen2Rongrong Geng3Ayesha Saeed4Hui Zhang5Tao Tao6School of New Energy, North China Electric Power University, Beijing 102206, ChinaSchool of New Energy, North China Electric Power University, Beijing 102206, ChinaSchool of New Energy, North China Electric Power University, Beijing 102206, ChinaSchool of New Energy, North China Electric Power University, Beijing 102206, ChinaSchool of New Energy, North China Electric Power University, Beijing 102206, ChinaSchool of New Energy, North China Electric Power University, Beijing 102206, ChinaChina Southern Power Grid Technology Co., Ltd., Guangzhou 510080, ChinaDensity variables based on nodal or Gaussian points are naturally incorporated in meshless topology optimization approaches, pursuing distinct topological layouts with solid and void solutions. However, engineering applications have been hampered by the fact that the authentic structure boundary cannot be identified without manual intervention. To alleviate this issue, the Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT) method is developed within the context of meshless approximation. In meshless analysis, the non-overlap cell variables instead of nodal or Gaussian-based variables are adopted to characterize the existence or absence of sub-regions. This work proposes a non-penalized SEMDOT where an interpolation-based heuristic sensitivity expression is utilized. The 2D and 3D compliance minimization problems serve to validate the efficiency and applicability of the proposed non-penalized SEMDOT approach based on the framework of the meshless method. The numerical results demonstrated that the proposed approach is capable of generating final designs with continuous and smooth edges or surfaces.https://www.mdpi.com/2079-3197/13/1/6topology optimizationmeshless methodelement-free GalerkinSEMDOTnon-penalization scheme |
| spellingShingle | Jingbo Huang Kai Long Yutang Chen Rongrong Geng Ayesha Saeed Hui Zhang Tao Tao A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method Computation topology optimization meshless method element-free Galerkin SEMDOT non-penalization scheme |
| title | A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method |
| title_full | A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method |
| title_fullStr | A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method |
| title_full_unstemmed | A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method |
| title_short | A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method |
| title_sort | framework of the meshless method for topology optimization using the smooth edged material distribution for optimizing topology method |
| topic | topology optimization meshless method element-free Galerkin SEMDOT non-penalization scheme |
| url | https://www.mdpi.com/2079-3197/13/1/6 |
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