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Multiobjective optimization design for an occupant restraint system considering interval correlation

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Abstract

The occupant restraint system (ORS) focuses on automobile crash safety, which can effectively reduce passenger injury. For an ORS, some design parameters are uncertainties, but even they may have correlations. It is noted that the ORS is typically characterized by various occupant injury indices, and uncertainties and their correlations will impact these indices, while most existing design problems have been formulated as a single objective optimization. To address these issues, this paper combines a multidimensional parallelepiped model with a multiobjective genetic algorithm (GA) for the vehicle ORS design. First, a multiobjective optimization model for the ORS design considering interval uncertainties and their correlations is developed to balance the design requirements for multiple objectives. Second, the established multiobjective optimization model considering parametric correlations is converted into an independent interval multiobjective optimization model in the transformed cuboid domain. Third, the interval multiobjective optimization model is converted into a deterministic multiobjective optimization model by the use of the interval order relation and interval possibility degree. Finally, the optimization problem is solved by coupling the multiobjective GA with the interval expansion method. The ORS design of a 100% frontal impact at a speed of 35 mph is exemplified for the proposed model and method, and the application example shows that the optimization results are different for different correlations. If the correlation analysis is neglected, then the optimization results may lead to a deviation of design. Thus, more conservative solutions could have been generated from the ORS design considering interval correlation.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 51905165), the National Natural Science Foundation Innovation Research Group Project of China (Grant No. 51621004), and the Hunan Provincial Natural Science Foundation (Grant Nos. 2022JJ90003, 2021JJ30077, and 2022JJ40116).

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Authors and Affiliations

  1. Hunan Provincial Key Laboratory of Vehicle Power and Transmission System, Hunan Institute of Engineering, Xiangtan, 411104, People’s Republic of China

    Qiong Wang, Zhiwei Liu & Liang Cao

  2. College of Mechanical Engineering, Xiangtan University, Xiangtan, 411105, People’s Republic of China

    Liang Cao

  3. School of Mechanical Engineering, Hunan University of Science and Technology, Xiangtan, 411201, People’s Republic of China

    Zhao Xiao, Qunwang Zhang & Shuo Zhang

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  1. Qiong Wang
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  2. Zhiwei Liu
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  3. Liang Cao
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  4. Zhao Xiao
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  5. Qunwang Zhang
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  6. Shuo Zhang
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Correspondence to Zhao Xiao.

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Wang, Q., Liu, Z., Cao, L. et al. Multiobjective optimization design for an occupant restraint system considering interval correlation. Struct Multidisc Optim 65, 303 (2022). https://doi.org/10.1007/s00158-022-03407-6

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