Robust topology optimization for cellular composites with hybrid uncertainties

Summary This paper will develop a new robust topology optimization method for the concurrent design of cellular composites with an array of identical microstructures subject to random‐interval hybrid uncertainties. A concurrent topology optimization framework is formulated to optimize both the compo...

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Published inInternational journal for numerical methods in engineering Vol. 115; no. 6; pp. 695 - 713
Main Authors Zheng, Jing, Luo, Zhen, Li, Hao, Jiang, Chao
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 10.08.2018
Subjects
Composite materials
Design optimization
dimension reduction method
hybrid uncertainties
Macrostructure
multiscale design
Robustness (mathematics)
Topology optimization
Uncertainty analysis
Variance
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Summary:Summary This paper will develop a new robust topology optimization method for the concurrent design of cellular composites with an array of identical microstructures subject to random‐interval hybrid uncertainties. A concurrent topology optimization framework is formulated to optimize both the composite macrostructure and the material microstructure. The robust objective function is defined based on the interval mean and interval variance of the corresponding objective function. A new uncertain propagation approach, termed as a hybrid univariate dimension reduction method, is proposed to estimate the interval mean and variance. The sensitivity information of the robust objective function can be obtained after the uncertainty analysis. Several numerical examples are used to validate the effectiveness of the proposed robust topology optimization method.
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.5821