Proportional Topology Optimization algorithm for two-scale concurrent design of lattice structures
In this paper, the Proportional Topology Optimization (PTO) algorithm is extended for the two-scale concurrent topology optimization, in which both the structure and material cellular micro-structure are subject to design. PTO was originally developed on the concept that the amount of material bein...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2023-06-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/18368 |
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| author | Minh Ngoc Nguyen Duy Vo Tinh Quoc Bui |
| author_facet | Minh Ngoc Nguyen Duy Vo Tinh Quoc Bui |
| author_sort | Minh Ngoc Nguyen |
| collection | DOAJ |
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In this paper, the Proportional Topology Optimization (PTO) algorithm is extended for the two-scale concurrent topology optimization, in which both the structure and material cellular micro-structure are subject to design. PTO was originally developed on the concept that the amount of material being distributed to an element would be proportional to the contribution of that element in the objective function. Sensitivity analysis is not required. In a two-scale concurrent topology optimization problem, two sets of design variables are defined, one for macro-structure and one for micro-structure. Here, the objective function is reformulated such that the contribution of each micro-scale design variable can be determined, facilitating the employment of PTO. The macroscopic effective elastic tensor is evaluated by the energy-based homogenization method (EBHM), providing a link between micro-structure and macro-structure. Feasibility and efficiency of the proposed PTO approach are demonstrated via several benchmark examples of both two and three dimensional structures.
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| format | Article |
| id | doaj-art-7ea15ab6128f4ccea2e437b9435ffe75 |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-7ea15ab6128f4ccea2e437b9435ffe752025-08-20T02:55:01ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822023-06-0145210.15625/0866-7136/18368Proportional Topology Optimization algorithm for two-scale concurrent design of lattice structuresMinh Ngoc Nguyen0https://orcid.org/0000-0002-2026-2310Duy Vo1https://orcid.org/0000-0002-3160-2878Tinh Quoc Bui2https://orcid.org/0000-0002-6426-6639\(^1\) Duy Tan Research Institute for Computational Engineering (DTRICE) - Duy Tan University, Ho Chi Minh City 700000, Vietnam<br>\(^2\) Faculty of Civil Engineering, Duy Tan University, Da Nang 550000, Vietnam\(^1\) Duy Tan Research Institute for Computational Engineering (DTRICE) - Duy Tan University, Ho Chi Minh City 700000, Vietnam<br>\(^2\) Faculty of Civil Engineering, Duy Tan University, Da Nang 550000, Vietnam\(^1\) Duy Tan Research Institute for Computational Engineering (DTRICE) - Duy Tan University, Ho Chi Minh City 700000, Vietnam<br>\(^2\) Faculty of Civil Engineering, Duy Tan University, Da Nang 550000, Vietnam In this paper, the Proportional Topology Optimization (PTO) algorithm is extended for the two-scale concurrent topology optimization, in which both the structure and material cellular micro-structure are subject to design. PTO was originally developed on the concept that the amount of material being distributed to an element would be proportional to the contribution of that element in the objective function. Sensitivity analysis is not required. In a two-scale concurrent topology optimization problem, two sets of design variables are defined, one for macro-structure and one for micro-structure. Here, the objective function is reformulated such that the contribution of each micro-scale design variable can be determined, facilitating the employment of PTO. The macroscopic effective elastic tensor is evaluated by the energy-based homogenization method (EBHM), providing a link between micro-structure and macro-structure. Feasibility and efficiency of the proposed PTO approach are demonstrated via several benchmark examples of both two and three dimensional structures. https://vjs.ac.vn/index.php/vjmech/article/view/18368proportional topology optimizationPTOtwo-scale lattice structures |
| spellingShingle | Minh Ngoc Nguyen Duy Vo Tinh Quoc Bui Proportional Topology Optimization algorithm for two-scale concurrent design of lattice structures Vietnam Journal of Mechanics proportional topology optimization PTO two-scale lattice structures |
| title | Proportional Topology Optimization algorithm for two-scale concurrent design of lattice structures |
| title_full | Proportional Topology Optimization algorithm for two-scale concurrent design of lattice structures |
| title_fullStr | Proportional Topology Optimization algorithm for two-scale concurrent design of lattice structures |
| title_full_unstemmed | Proportional Topology Optimization algorithm for two-scale concurrent design of lattice structures |
| title_short | Proportional Topology Optimization algorithm for two-scale concurrent design of lattice structures |
| title_sort | proportional topology optimization algorithm for two scale concurrent design of lattice structures |
| topic | proportional topology optimization PTO two-scale lattice structures |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/18368 |
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