Robust topology optimization for concurrent design of dynamic structures under hybrid uncertainties

• Published in: Mechanical systems and signal processing Vol. 120; pp. 540 - 559
• Main Authors: Zheng, Jing, Luo, Zhen, Jiang, Chao, Gao, Jie
• Format: Journal Article
• Language: English
• Published: Berlin Elsevier Ltd 01-04-2019; Elsevier BV
• Subjects: Bivariate analysis; Concurrent design; Design optimization; Dimensional reduction; Hybrid uncertainties; Level set method; Mathematical analysis; Reduction; Robust topology optimization; Robustness; Topology optimization; Uncertainty analysis; Variance; Dimensional reduction; Hybrid uncertainties; Level set method; Robust topology optimization; Concurrent design
• ISSN: 0888-3270; 1096-1216
• DOI: 10.1016/j.ymssp.2018.10.026

•Concurrent topology optimization for multiscale dynamic composite structures.•A hybrid dimensional reduction method to estimate interval mean and variance.•A new robust topology optimization method under random-interval hybrid uncertainties.•Robust objective function defined as a weighted sum of mean and standard variance.
A new robust topology optimization method based on level sets is developed for the concurrent design of dynamic structures composed of uniform periodic microstructures subject to random and interval hybrid uncertainties. A Hybrid Dimensional Reduction (HDR) method is proposed to estimate the interval mean and the interval variance of the uncertain objective function based on a bivariate dimension reduction scheme. The robust objective function is defined as a weighted sum of the mean and standard variance of the dynamic compliance under the worst case. The sensitivity information of the robust objective function with respect to the macro and micro design variables can then be obtained after the uncertainty analysis. Several examples are used to validate the effectiveness of the proposed robust topology optimization method.