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Size-controlled cross-scale robust topology optimization based on adaptive subinterval dimension-wise method considering interval uncertainties

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Abstract

In this paper, a cross-scale robust topology optimization (CS-RTO) method for fixed boundary structures considering the uncertainties of the magnitude and the direction of forces is proposed, which can simultaneously constrain the robustness of structural response and unit-cell configuration. By establishing an adaptive subinterval partition strategy and based on the subinterval dimension-wise method, the adaptive subinterval dimension-wise method (ASDWM) is developed for strongly nonlinear propagation analysis problems. In addition, to obtain a more robust unit-cell configuration to enhance the structural manufacturability and suppress the influence of manufacturing defects on the properties of the unit cell, the filter-projection technique is used to control the minimum length scale of the unit cell. Finally, two examples are presented to demonstrate the applicability and effectiveness of the methodology that has been developed.

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Acknowledgements

The authors would like to thank the National Nature Science Foundation of China (12072007), the Basic Research Projects of Equipment Development Department of China (514010109-303), the EU Marie Sklodowska-Curie Individual Fellowships (H2020-MSCA-IF-2020:101025743-ROFiDMS), the Ningbo Nature Science Foundation (202003N4018), and the Defense Industrial Technology Development Program (JCKY2019205A006, JCKY2019203A003) for the financial supports. Besides, the authors wish to express their many thanks to the reviewers for their useful and constructive comments.

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Authors and Affiliations

  1. Institute of Solid Mechanics, School of Aeronautic Science and Engineering, Beihang University, Beijing, 100083, China

    Lei Wang & Xingyu Zhao

  2. Aircraft and Propulsion Laboratory, Ningbo Institute of Technology, Beihang University, Ningbo, 315100, China

    Lei Wang

  3. Midea Global Innovation Center, Beijiao Town, Shunde District, Foshan, 528311, Guangdong, China

    Dongliang Liu

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  1. Lei Wang
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  2. Xingyu Zhao
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Correspondence to Lei Wang.

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Wang, L., Zhao, X. & Liu, D. Size-controlled cross-scale robust topology optimization based on adaptive subinterval dimension-wise method considering interval uncertainties. Engineering with Computers 38, 5321–5338 (2022). https://doi.org/10.1007/s00366-022-01615-8

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