A parameterized level set method for structural topology optimization based on reaction diffusion equation and fuzzy PID control algorithm
We propose a parameterized level set method (PLSM) for structural topology optimization based on reaction diffusion equation (RDE) and fuzzy PID control algorithm. By using the proposed method, the structural compliance minimization problem under volume constraints is studied. In this work, the RDE...
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| Language: | English |
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AIMS Press
2022-05-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022132?viewType=HTML |
| _version_ | 1811197739416944640 |
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| author | Mingtao Cui Min Pan Jie Wang Pengjie Li |
| author_facet | Mingtao Cui Min Pan Jie Wang Pengjie Li |
| author_sort | Mingtao Cui |
| collection | DOAJ |
| description | We propose a parameterized level set method (PLSM) for structural topology optimization based on reaction diffusion equation (RDE) and fuzzy PID control algorithm. By using the proposed method, the structural compliance minimization problem under volume constraints is studied. In this work, the RDE is used as the evolution equation of level set function, and the topological derivative of the material domain is used as the reaction term of the RDE to drive the evolution of level set function, which has little dependence on the initial design domain, and can generate holes in the material domain; the compactly supported radial basis function (CS-RBF) is used to interpolate the level set function and modify the RDE, which can improve the computational efficiency, and keep the boundary smooth in the optimization process. Meanwhile, the fuzzy PID control algorithm is used to deal with the volume constraints, so that the convergence process of the structure volume is relatively stable. Furthermore, the proposed method is applied to 3D structural topology optimization. Several typical numerical examples are provided to demonstrate the feasibility and effectiveness of this method. |
| first_indexed | 2024-04-12T01:19:27Z |
| format | Article |
| id | doaj.art-1daef2825f02436e9ac0001c67a45696 |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-12T01:19:27Z |
| publishDate | 2022-05-01 |
| publisher | AIMS Press |
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| series | Electronic Research Archive |
| spelling | doaj.art-1daef2825f02436e9ac0001c67a456962022-12-22T03:53:50ZengAIMS PressElectronic Research Archive2688-15942022-05-013072568259910.3934/era.2022132A parameterized level set method for structural topology optimization based on reaction diffusion equation and fuzzy PID control algorithmMingtao Cui0Min Pan1Jie Wang2Pengjie Li31. School of Mechano-electronic Engineering, Xidian University, Xi'an, 710071, China 2. Shaanxi Key Laboratory of Space Extreme Detection, Xi'an, 710071, China 3. Department of Mechanical Engineering, McGill University, Montreal H3A 2K6, QC, Canada1. School of Mechano-electronic Engineering, Xidian University, Xi'an, 710071, China1. School of Mechano-electronic Engineering, Xidian University, Xi'an, 710071, China1. School of Mechano-electronic Engineering, Xidian University, Xi'an, 710071, ChinaWe propose a parameterized level set method (PLSM) for structural topology optimization based on reaction diffusion equation (RDE) and fuzzy PID control algorithm. By using the proposed method, the structural compliance minimization problem under volume constraints is studied. In this work, the RDE is used as the evolution equation of level set function, and the topological derivative of the material domain is used as the reaction term of the RDE to drive the evolution of level set function, which has little dependence on the initial design domain, and can generate holes in the material domain; the compactly supported radial basis function (CS-RBF) is used to interpolate the level set function and modify the RDE, which can improve the computational efficiency, and keep the boundary smooth in the optimization process. Meanwhile, the fuzzy PID control algorithm is used to deal with the volume constraints, so that the convergence process of the structure volume is relatively stable. Furthermore, the proposed method is applied to 3D structural topology optimization. Several typical numerical examples are provided to demonstrate the feasibility and effectiveness of this method.https://www.aimspress.com/article/doi/10.3934/era.2022132?viewType=HTMLparameterized level set methodcompactly supported radial basis functionreaction diffusion equationfuzzy pid control algorithmstructural topology optimization |
| spellingShingle | Mingtao Cui Min Pan Jie Wang Pengjie Li A parameterized level set method for structural topology optimization based on reaction diffusion equation and fuzzy PID control algorithm Electronic Research Archive parameterized level set method compactly supported radial basis function reaction diffusion equation fuzzy pid control algorithm structural topology optimization |
| title | A parameterized level set method for structural topology optimization based on reaction diffusion equation and fuzzy PID control algorithm |
| title_full | A parameterized level set method for structural topology optimization based on reaction diffusion equation and fuzzy PID control algorithm |
| title_fullStr | A parameterized level set method for structural topology optimization based on reaction diffusion equation and fuzzy PID control algorithm |
| title_full_unstemmed | A parameterized level set method for structural topology optimization based on reaction diffusion equation and fuzzy PID control algorithm |
| title_short | A parameterized level set method for structural topology optimization based on reaction diffusion equation and fuzzy PID control algorithm |
| title_sort | parameterized level set method for structural topology optimization based on reaction diffusion equation and fuzzy pid control algorithm |
| topic | parameterized level set method compactly supported radial basis function reaction diffusion equation fuzzy pid control algorithm structural topology optimization |
| url | https://www.aimspress.com/article/doi/10.3934/era.2022132?viewType=HTML |
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