A bionic topology optimization method with an additional displacement constraint
Displacement is an important measure of stiffness, and its constraint must be considered in many real engineering designs. However, traditional volume-constrained compliance minimization methods for load-bearing structures do not deal with displacements of practical importance directly. Based on thi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://aimspress.com/article/doi/10.3934/era.2023037?viewType=HTML |
| _version_ | 1811168713457532928 |
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| author | Yuhai Zhong Huashan Feng Hongbo Wang Runxiao Wang Weiwei Yu |
| author_facet | Yuhai Zhong Huashan Feng Hongbo Wang Runxiao Wang Weiwei Yu |
| author_sort | Yuhai Zhong |
| collection | DOAJ |
| description | Displacement is an important measure of stiffness, and its constraint must be considered in many real engineering designs. However, traditional volume-constrained compliance minimization methods for load-bearing structures do not deal with displacements of practical importance directly. Based on this situation, the paper extends an improved bionic topology optimization method to solve the topology optimization problem with an additional displacement constraint. The updates of density design variables are based on an improved bone remodeling algorithm rather than gradient information employed by traditional methods. An explicit relationship between the threshold in the bone remodeling algorithm and target node displacement is constructed to satisfy displacement constraint. As a result, one will obtain a topology with an optimal cost-weighted sum of stiffness and mass while the target node displacement does not exceed its predefined limit. 2D and 3D examples are given to demonstrate the effectiveness of the proposed method. |
| first_indexed | 2024-04-10T16:30:14Z |
| format | Article |
| id | doaj.art-777283d86030424cbeef722a010c7f36 |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-10T16:30:14Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-777283d86030424cbeef722a010c7f362023-02-09T01:00:48ZengAIMS PressElectronic Research Archive2688-15942023-01-0131275476910.3934/era.2023037A bionic topology optimization method with an additional displacement constraintYuhai Zhong0Huashan Feng1Hongbo Wang2Runxiao Wang3Weiwei Yu4School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, ChinaDisplacement is an important measure of stiffness, and its constraint must be considered in many real engineering designs. However, traditional volume-constrained compliance minimization methods for load-bearing structures do not deal with displacements of practical importance directly. Based on this situation, the paper extends an improved bionic topology optimization method to solve the topology optimization problem with an additional displacement constraint. The updates of density design variables are based on an improved bone remodeling algorithm rather than gradient information employed by traditional methods. An explicit relationship between the threshold in the bone remodeling algorithm and target node displacement is constructed to satisfy displacement constraint. As a result, one will obtain a topology with an optimal cost-weighted sum of stiffness and mass while the target node displacement does not exceed its predefined limit. 2D and 3D examples are given to demonstrate the effectiveness of the proposed method.https://aimspress.com/article/doi/10.3934/era.2023037?viewType=HTMLtopology optimizationengineering optimizationdisplacement constraintbone remodeling algorithm |
| spellingShingle | Yuhai Zhong Huashan Feng Hongbo Wang Runxiao Wang Weiwei Yu A bionic topology optimization method with an additional displacement constraint Electronic Research Archive topology optimization engineering optimization displacement constraint bone remodeling algorithm |
| title | A bionic topology optimization method with an additional displacement constraint |
| title_full | A bionic topology optimization method with an additional displacement constraint |
| title_fullStr | A bionic topology optimization method with an additional displacement constraint |
| title_full_unstemmed | A bionic topology optimization method with an additional displacement constraint |
| title_short | A bionic topology optimization method with an additional displacement constraint |
| title_sort | bionic topology optimization method with an additional displacement constraint |
| topic | topology optimization engineering optimization displacement constraint bone remodeling algorithm |
| url | https://aimspress.com/article/doi/10.3934/era.2023037?viewType=HTML |
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