A multi-discretization scheme for topology optimization based on the parameterized level set method
In the framework of the parameterized level set method, the structural analysis and topology representation can be implemented in a decoupling way. A parameterized level set function, typically, using radial basis functions (RBFs), is a linear combination of a set of prescribed RBFs and coefficients...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2020-01-01
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| Series: | International Journal for Simulation and Multidisciplinary Design Optimization |
| Subjects: | |
| Online Access: | https://www.ijsmdo.org/articles/smdo/full_html/2020/01/smdo190015/smdo190015.html |
| _version_ | 1818571926626369536 |
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| author | Wei Peng Liu Yang Li Zuyu |
| author_facet | Wei Peng Liu Yang Li Zuyu |
| author_sort | Wei Peng |
| collection | DOAJ |
| description | In the framework of the parameterized level set method, the structural analysis and topology representation can be implemented in a decoupling way. A parameterized level set function, typically, using radial basis functions (RBFs), is a linear combination of a set of prescribed RBFs and coefficients. Once the coefficients are determined, the theoretical level set function is determined. Exploiting this inherent property, we propose a multi-discretization method based on the parameterized level set method. In this approach, a coarse discretization is applied to do the structural analysis whereas another dense discretization is employed to represent the structure topology. As a result, both efficient analysis and high-resolution topological design are available. Note that the dense discretization only accounts for a more precise and smooth description of the theoretical level set function rather than introduce extra design freedom or incur interference to structural analysis or the optimization process. In other words, this decoupling way will not add to the computational burden of structural analysis or result in non-uniqueness of converged results for a particular analysis setting. Numerical examples in both two-dimension and three-dimension show effectiveness and applicability of the proposed method. |
| first_indexed | 2024-12-14T18:50:41Z |
| format | Article |
| id | doaj.art-150e8b6dcac445b2bf867cf6db8b507d |
| institution | Directory Open Access Journal |
| issn | 1779-6288 |
| language | English |
| last_indexed | 2024-12-14T18:50:41Z |
| publishDate | 2020-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | International Journal for Simulation and Multidisciplinary Design Optimization |
| spelling | doaj.art-150e8b6dcac445b2bf867cf6db8b507d2022-12-21T22:51:15ZengEDP SciencesInternational Journal for Simulation and Multidisciplinary Design Optimization1779-62882020-01-0111310.1051/smdo/2019019smdo190015A multi-discretization scheme for topology optimization based on the parameterized level set methodWei PengLiu YangLi ZuyuIn the framework of the parameterized level set method, the structural analysis and topology representation can be implemented in a decoupling way. A parameterized level set function, typically, using radial basis functions (RBFs), is a linear combination of a set of prescribed RBFs and coefficients. Once the coefficients are determined, the theoretical level set function is determined. Exploiting this inherent property, we propose a multi-discretization method based on the parameterized level set method. In this approach, a coarse discretization is applied to do the structural analysis whereas another dense discretization is employed to represent the structure topology. As a result, both efficient analysis and high-resolution topological design are available. Note that the dense discretization only accounts for a more precise and smooth description of the theoretical level set function rather than introduce extra design freedom or incur interference to structural analysis or the optimization process. In other words, this decoupling way will not add to the computational burden of structural analysis or result in non-uniqueness of converged results for a particular analysis setting. Numerical examples in both two-dimension and three-dimension show effectiveness and applicability of the proposed method.https://www.ijsmdo.org/articles/smdo/full_html/2020/01/smdo190015/smdo190015.htmlparameterized level setmulti-discretizationradial basis functionstopology optimization |
| spellingShingle | Wei Peng Liu Yang Li Zuyu A multi-discretization scheme for topology optimization based on the parameterized level set method International Journal for Simulation and Multidisciplinary Design Optimization parameterized level set multi-discretization radial basis functions topology optimization |
| title | A multi-discretization scheme for topology optimization based on the parameterized level set method |
| title_full | A multi-discretization scheme for topology optimization based on the parameterized level set method |
| title_fullStr | A multi-discretization scheme for topology optimization based on the parameterized level set method |
| title_full_unstemmed | A multi-discretization scheme for topology optimization based on the parameterized level set method |
| title_short | A multi-discretization scheme for topology optimization based on the parameterized level set method |
| title_sort | multi discretization scheme for topology optimization based on the parameterized level set method |
| topic | parameterized level set multi-discretization radial basis functions topology optimization |
| url | https://www.ijsmdo.org/articles/smdo/full_html/2020/01/smdo190015/smdo190015.html |
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