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Robust optimization of foam-filled thin-walled structure based on sequential Kriging metamodel

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Abstract

Deterministic optimization has been successfully applied to a range of design problems involving foam-filled thin-walled structures, and to some extent gained significant confidence for the applications of such structures in automotive, aerospace, transportation and defense industries. However, the conventional deterministic design could become less meaningful or even unacceptable when considering the perturbations of design variables and noises of system parameters. To overcome this drawback, a robust design methodology is presented in this paper to address the effects of parametric uncertainties of foam-filled thin-walled structure on design optimization, in which different sigma criteria are adopted to measure the variations. The Kriging modeling technique is used to construct the corresponding surrogate models of mean and standard deviation for different crashworthiness criteria. A sequential sampling approach is introduced to improve the fitness accuracy of these surrogate models. Finally, a gradient-based sequential quadratic program (SQP) method is employed from 20 different initial points to obtain a quasi-global robust optimum solution. The optimal solutions were verified by using the Monte Carlo simulation. The results show that the presented robust optimization method is fairly effective and efficient, the crashworthiness and robustness of the foam-filled thin-walled structure can be improved significantly.

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Acknowledgments

This work is supported by The National 973 Project of China (2010CB328005), The National Natural Science Foundation of China (11202072), The Hunan Provincial Science Foundation of China (13JJ4036), The Doctoral Fund of Ministry of Education of China (20120161120005), and The Open Fund of Traction Power State Key Laboratory of Southwest Jiaotong University (TPL1206).

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha, 410082, China

    Guangyong Sun

  2. School of Electrical and Electronic Engineering, Newcastle University, Newcastle upon Tyne, NE1 7RU, UK

    Xueguan Song

  3. DNDE Engineering Inc, Ace Hightech21, Centumjungang-ro Haeundae-gu, Busan, 612-020, Korea

    Seokheum Baek

  4. School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW, 2006, Australia

    Qing Li

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  1. Guangyong Sun
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Correspondence to Xueguan Song.

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Sun, G., Song, X., Baek, S. et al. Robust optimization of foam-filled thin-walled structure based on sequential Kriging metamodel. Struct Multidisc Optim 49, 897–913 (2014). https://doi.org/10.1007/s00158-013-1017-3

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  • DOI: https://doi.org/10.1007/s00158-013-1017-3

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