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Design optimization of hybrid uncertain structures with fuzzy-boundary interval variables

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Abstract

In some special engineering cases, the lower and upper bounds of uncertain parameters are appropriately quantified as fuzzy variables instead of deterministic values. To address such cases, a possibility-based robust design optimization (PBRDO) framework is suggested for the hybrid uncertain structures with fuzzy-boundary interval (FuBI) variables. Firstly, an optimization model with FuBI variables is established where FuBI uncertainties exist in both the objective and constraint functions. The so-called dual robust design is presented and it is adopted to create the optimization objective. The first robust design aims to handle fuzziness while the second one attends to tackle interval property. The failure possibility is employed to construct the optimization constraints in possibilitic context. Then, the fuzzy-boundary interval Taylor series-central difference method (FITS-CDM) is derived to manage FuBI uncertainties and calculate the optimization objective efficiently. Next, the target performance approach (TPA) is employed to process the possibilistic constraints and the simplified constraints can be easily solved by FITS-CDM. The nested-loop PBRDO with FuBI variables can be simplified to a single-loop one based on FITS-CDM and TPA. Finally, the effectiveness of the proposed optimization approach on dealing with FuBI uncertainties is demonstrated by three examples.

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Acknowledgements

The paper is supported by the National Natural Science Foundation of China (No. 51975217), the Natural Science Foundation of Guangdong Province, China (No. 2020A1515010352), the Science and Technology Program of Guangzhou City, China (No. 201804010092), the Fundamental Research Funds for the Central Universities, SCUT (No. 2019MS058 and No. 2019MS064) and China Postdoctoral Science Foundation (No. 2019M652880). The authors would also like to thank the editor and the anonymous reviewers for their insightful comments and suggestions.

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  1. School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, 510641, China

    Hui Lü, Kun Yang & Hui Yin

  2. School of Automobile and Traffic Engineering, Guangzhou College of South China University of Technology, Guangzhou, 510800, China

    Xiaoting Huang

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  1. Hui Lü
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Lü, H., Yang, K., Huang, X. et al. Design optimization of hybrid uncertain structures with fuzzy-boundary interval variables. Int J Mech Mater Des 17, 201–224 (2021). https://doi.org/10.1007/s10999-020-09523-9

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