A level set-based topology optimization approach for thermally radiating structures
<jats:title>Abstract</jats:title><jats:p>The need for efficient thermally radiating structures is apparent in many aerospace system designs including satellites, launch vehicles, and hypersonic aircraft. This paper presents a novel level set-based topology optimization approach for...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Science and Business Media LLC
2022
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| Online Access: | https://hdl.handle.net/1721.1/145453 |
| _version_ | 1811069984221167616 |
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| author | Cohen, Brian S March, Andrew I Willcox, Karen E Miller, David W |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Cohen, Brian S March, Andrew I Willcox, Karen E Miller, David W |
| author_sort | Cohen, Brian S |
| collection | MIT |
| description | <jats:title>Abstract</jats:title><jats:p>The need for efficient thermally radiating structures is apparent in many aerospace system designs including satellites, launch vehicles, and hypersonic aircraft. This paper presents a novel level set-based topology optimization approach for designing thermally efficient radiating structures. In this paper, we derive a shape sensitivity of the thermal heat power radiated objective function using the adjoint method. This sensitivity is a necessary ingredient for our gradient-based algorithm. We apply an augmented Lagrangian method to solve an example 2D problem where the goal is to maximize heat power rejected subject to a material volume constraint. The radiating surface is kept fixed during the optimization to maintain a design-independent boundary condition, while the conducting region is optimized. Several solutions are illustrated with varying initial conditions. We also present a case study indicating that maximizing the thermal compliance functional is not sufficient for solving this class of problems.</jats:p> |
| first_indexed | 2024-09-23T08:20:02Z |
| format | Article |
| id | mit-1721.1/145453 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:20:02Z |
| publishDate | 2022 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1454532022-09-30T09:05:22Z A level set-based topology optimization approach for thermally radiating structures Cohen, Brian S March, Andrew I Willcox, Karen E Miller, David W Massachusetts Institute of Technology. Department of Aeronautics and Astronautics <jats:title>Abstract</jats:title><jats:p>The need for efficient thermally radiating structures is apparent in many aerospace system designs including satellites, launch vehicles, and hypersonic aircraft. This paper presents a novel level set-based topology optimization approach for designing thermally efficient radiating structures. In this paper, we derive a shape sensitivity of the thermal heat power radiated objective function using the adjoint method. This sensitivity is a necessary ingredient for our gradient-based algorithm. We apply an augmented Lagrangian method to solve an example 2D problem where the goal is to maximize heat power rejected subject to a material volume constraint. The radiating surface is kept fixed during the optimization to maintain a design-independent boundary condition, while the conducting region is optimized. Several solutions are illustrated with varying initial conditions. We also present a case study indicating that maximizing the thermal compliance functional is not sufficient for solving this class of problems.</jats:p> 2022-09-16T12:31:32Z 2022-09-16T12:31:32Z 2022-06 2022-09-16T12:28:50Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/145453 Cohen, Brian S, March, Andrew I, Willcox, Karen E and Miller, David W. 2022. "A level set-based topology optimization approach for thermally radiating structures." Structural and Multidisciplinary Optimization, 65 (6). en 10.1007/s00158-022-03261-6 Structural and Multidisciplinary Optimization Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf Springer Science and Business Media LLC Springer |
| spellingShingle | Cohen, Brian S March, Andrew I Willcox, Karen E Miller, David W A level set-based topology optimization approach for thermally radiating structures |
| title | A level set-based topology optimization approach for thermally radiating structures |
| title_full | A level set-based topology optimization approach for thermally radiating structures |
| title_fullStr | A level set-based topology optimization approach for thermally radiating structures |
| title_full_unstemmed | A level set-based topology optimization approach for thermally radiating structures |
| title_short | A level set-based topology optimization approach for thermally radiating structures |
| title_sort | level set based topology optimization approach for thermally radiating structures |
| url | https://hdl.handle.net/1721.1/145453 |
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