Topology optimization for thermal structures considering design-dependent convection boundaries based on the bidirectional evolutionary structural optimization method
<p>Based on the bidirectional evolutionary structural optimization (BESO) method, the present article proposes an optimization method for a thermal structure involving design-dependent convective boundaries. Because the BESO method is incapable of keeping track of convection boundaries, virtua...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2023-05-01
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| Series: | Mechanical Sciences |
| Online Access: | https://ms.copernicus.org/articles/14/223/2023/ms-14-223-2023.pdf |
| Summary: | <p>Based on the bidirectional evolutionary structural optimization (BESO) method, the present article proposes an optimization
method for a thermal structure involving design-dependent convective
boundaries. Because the BESO method is incapable of keeping track of
convection boundaries, virtual elements are introduced to assist in
identifying the convection boundaries of the structure. In order to solve the
difficult issue of element assignment under a design-dependent convection boundary,
label matrixes are employed to modify the heat transfer matrix and the
equivalent temperature load vector of elements over topology iterations.
Additionally, the optimization objective is set to minimize the maximum
temperature of the structure in order to deal with the objective reasonableness, and
the <span class="inline-formula"><i>p</i></span>-norm method is then used to fit the objective function to calculate
sensitivity. Finally, several cases, including 2D and 3D structures under
various heat transfer boundary conditions, are provided to illustrate the
effectiveness and good convergence of the proposed method.</p> |
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| ISSN: | 2191-9151 2191-916X |