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A novel approach to topology optimization of multi-material structures considering mass constraint |
Received:November 11, 2021 Revised:December 26, 2021 |
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DOI:10.7511/jslx20211111001 |
KeyWord:topology optimization mass constraint Bi-directional Evolutionary Structural Optimization (BESO) Non-dominated Sorting Genetic Algorithm II (NSGA-II) Multiphase material interpolation scheme |
Author | Institution |
武星 |
长安大学 工程机械学院, 西安 |
封硕 |
长安大学 工程机械学院, 西安 |
齐峻 |
长安大学 工程机械学院, 西安 |
韩启东 |
长安大学 汽车学院, 西安 |
何芝 |
长安大学 工程机械学院, 西安 |
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Abstract: |
This paper proposes a topology optimization method that combines the Bi-directional Evolutionary Structural Optimization (BESO) and the Non-dominated Sorting Genetic Algorithm II (NSGA-II), which is called the BESO-NSGA-II method in this paper.Different from the volume constraint of the traditional two-way progressive method, this algorithm takes mass as the constraint condition and adopts the multiphase material interpolation scheme to achieve the optimal distribution of the multiphase material.Many numerical examples in this paper prove the stability and effectiveness of the algorithm.Compared with the traditional Bi-directional Evolutionary Structural Optimization, the new algorithm can effectively improve the stiffness of the structure under the same constraints.At the same time, to obtain a clean topology, the algorithm proposes a double penalty operator used in the cross-mutation process.The results show that the algorithm can better realize the lightweight design of the structure. |