Adaptive isogeometric topology optimization of shell structures based on PHT-splines

This paper proposes an adaptive isogeometric topology optimization framework for shell structures by utilizing a continuous density field represented as Polynomial splines over Hierarchical T-meshes (PHT-splines). This framework ensures an exact representation of shell structures, eliminating the ge...

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Veröffentlicht in:Computers & structures 2024-12, Vol.305, p.107565, Article 107565
Hauptverfasser: Wen, Zepeng, Pan, Qiong, Zhai, Xiaoya, Kang, Hongmei, Chen, Falai
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Sprache:eng
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Zusammenfassung:This paper proposes an adaptive isogeometric topology optimization framework for shell structures by utilizing a continuous density field represented as Polynomial splines over Hierarchical T-meshes (PHT-splines). This framework ensures an exact representation of shell structures, eliminating the geometric inaccuracies commonly associated with topology optimization. In the meanwhile, the meshes used for design and analysis are refined adaptively and locally along the density boundary to achieve a smooth material layout with reduced degrees of freedom (DOF). The adaptive sensitivity filter is tailored to the characteristics of PHT-splines, where the filter radius is determined automatically and adaptively, without the need to specify parameters in advance. Numerical experiments conducted on various shell structures validate the efficacy of the proposed adaptive framework. In comparison with isogeometric topology optimization based on non-adaptive cases (i.e. B-splines), the proposed adaptive framework demonstrates a notable enhancement in computational efficiency, with a 50%−80% reduction in running time and a 30%−60% reduction in DOF. Additionally, we offer a detailed comparison between PHT-splines and other locally refinable splines in the context of shell topology optimization. Numerical experiments exhibit that the efficient and localized refinement capability of PHT-splines provides advantages in both computational efficiency and structural performance for topology optimization. •This paper proposes an adaptive isogeometric topology optimization framework for shell structures by utilizing a continuous density field represented as PHT-splines.•The adaptive sensitivity filter is tailored to the PHT-splines, where the filter radius is determined adaptively without specifying parameters in advance.•Compared with isogeometric topology optimization based on non-adaptive cases, the proposed adaptive framework demonstrates a notable enhancement in computational efficiency.•We compare PHT-splines and other locally refinable splines in shell topology optimization. It shows that the PHT-splines have advantages in efficiency and structural performance.
ISSN:0045-7949
DOI:10.1016/j.compstruc.2024.107565