Design of Lattice Structures Using Local Relative Density Mapping Method
Abstract In order to solve the problem of substantial computational resources of lattice structure during optimization, a local relative density mapping (LRDM) method is proposed. The proposed method uses solid isotropic microstructures with penalization to optimize a model at the macroscopic scale....
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-10-01
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| Series: | Chinese Journal of Mechanical Engineering |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s10033-018-0289-3 |
| _version_ | 1818155833484115968 |
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| author | Guo-Hua Song Shi-Kai Jing Fang-Lei Zhao Ye-Dong Wang Hao Xing Long-Fei Qie |
| author_facet | Guo-Hua Song Shi-Kai Jing Fang-Lei Zhao Ye-Dong Wang Hao Xing Long-Fei Qie |
| author_sort | Guo-Hua Song |
| collection | DOAJ |
| description | Abstract In order to solve the problem of substantial computational resources of lattice structure during optimization, a local relative density mapping (LRDM) method is proposed. The proposed method uses solid isotropic microstructures with penalization to optimize a model at the macroscopic scale. The local relative density information is obtained from the topology optimization result. The contour lines of an optimized model are extracted using a density contour approach, and the triangular mesh is generated using a mesh generator. A local mapping relationship between the elements’ relative density and the struts’ relative cross-sectional area is established to automatically determine the diameter of each individual strut in the lattice structures. The proposed LRDM method can be applied to local finite element meshes and local density elements, but it is also suitable for global ones. In addition, some cases are considered in order to test the effectiveness of the LRDM method. The results show that the solution time of the LRDM is lower than the RDM method by approximately 50%. The proposed method provides instructions for the design of more complex lattice structures. |
| first_indexed | 2024-12-11T14:48:41Z |
| format | Article |
| id | doaj.art-844c7e7320f44ae79af3f924e3530752 |
| institution | Directory Open Access Journal |
| issn | 1000-9345 2192-8258 |
| language | English |
| last_indexed | 2024-12-11T14:48:41Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Chinese Journal of Mechanical Engineering |
| spelling | doaj.art-844c7e7320f44ae79af3f924e35307522022-12-22T01:01:33ZengSpringerOpenChinese Journal of Mechanical Engineering1000-93452192-82582018-10-013111910.1186/s10033-018-0289-3Design of Lattice Structures Using Local Relative Density Mapping MethodGuo-Hua Song0Shi-Kai Jing1Fang-Lei Zhao2Ye-Dong Wang3Hao Xing4Long-Fei Qie5Beijing Xinghang Mechanical-electrical Equipment Co. Ltd.School of Mechanical Engineering, Beijing Institute of TechnologySchool of Mechanical Engineering, Beijing Institute of TechnologySchool of Mechanical Engineering, Beijing Institute of TechnologySchool of Mechanical Engineering, Beijing Institute of TechnologySchool of Mechanical Engineering, Beijing Institute of TechnologyAbstract In order to solve the problem of substantial computational resources of lattice structure during optimization, a local relative density mapping (LRDM) method is proposed. The proposed method uses solid isotropic microstructures with penalization to optimize a model at the macroscopic scale. The local relative density information is obtained from the topology optimization result. The contour lines of an optimized model are extracted using a density contour approach, and the triangular mesh is generated using a mesh generator. A local mapping relationship between the elements’ relative density and the struts’ relative cross-sectional area is established to automatically determine the diameter of each individual strut in the lattice structures. The proposed LRDM method can be applied to local finite element meshes and local density elements, but it is also suitable for global ones. In addition, some cases are considered in order to test the effectiveness of the LRDM method. The results show that the solution time of the LRDM is lower than the RDM method by approximately 50%. The proposed method provides instructions for the design of more complex lattice structures.http://link.springer.com/article/10.1186/s10033-018-0289-3Lattice structuresLocal relative density mappingTopology optimizationAdditive manufacturing |
| spellingShingle | Guo-Hua Song Shi-Kai Jing Fang-Lei Zhao Ye-Dong Wang Hao Xing Long-Fei Qie Design of Lattice Structures Using Local Relative Density Mapping Method Chinese Journal of Mechanical Engineering Lattice structures Local relative density mapping Topology optimization Additive manufacturing |
| title | Design of Lattice Structures Using Local Relative Density Mapping Method |
| title_full | Design of Lattice Structures Using Local Relative Density Mapping Method |
| title_fullStr | Design of Lattice Structures Using Local Relative Density Mapping Method |
| title_full_unstemmed | Design of Lattice Structures Using Local Relative Density Mapping Method |
| title_short | Design of Lattice Structures Using Local Relative Density Mapping Method |
| title_sort | design of lattice structures using local relative density mapping method |
| topic | Lattice structures Local relative density mapping Topology optimization Additive manufacturing |
| url | http://link.springer.com/article/10.1186/s10033-018-0289-3 |
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