期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 123, 期 3, 页码 755-773出版社
WILEY
DOI: 10.1002/nme.6874
关键词
BESO; length scale control; p-norm; skeleton; topology optimization
资金
- Fundamental Research Funds for the Central Universities [2019kfyXKJC044]
- National Key RD Project [2020YFB1709401]
- National Natural Science Foundation of China [11972166]
- Natural Science Foundation of Hubei Province [2020CFA080]
This work develops length scale control schemes for bi-directional evolutionary structural optimization method, enabling an enhanced and flexible control of structural member sizes. The schemes involve constraining local material volumes and post-processing modification of local features to control both maximum and minimum structural length scales, which are proven to be effective and efficient based on benchmark design results in both 2D and 3D cases.
This work develops length scale control schemes for bi-directional evolutionary structural optimization method, enabling an enhanced and flexible control of the method on structural member sizes. Specifically, the maximum length scale control is achieved by constraining local material volumes below a threshold value, which is determined upon the allowed maximum length. The massive per-element volume constraints are aggregated by the p-norm global measure. The aggregated volume constraint is augmented to the conventional compliance design objective through a Lagrange multiplier. On the other hand, the minimum length scale control is achieved by a post-processing modification of local feature according to the skeleton detected from a preliminarily optimized topology. The sensitivity numbers of the local structural features that violate the minimum length scale constraint are compensated during the post-processing modification. Both 2D and 3D benchmark design results show that the proposed schemes are effective and efficient in controlling both the maximum and minimum structural length scales.
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