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Multi-objective robust design optimization of a novel NPR energy absorption structure for vehicles front ends to enhance pedestrian lower leg protection

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Abstract

The unique structure of negative Poisson’s ratio (NPR) materials provides a good energy absorption capacity that has found wide application in automotive and aeronautics industries. The present work proposes a novel NPR energy absorption structure installed between the bumper and anti-collision beam of automobiles for improving pedestrian lower leg protection. The performance of the proposed NPR structure based on tibia acceleration, knee bending angle, and knee shear displacement is evaluated by comparison with the performance of a conventional energy absorption structure. The performance of the proposed structure is further improved by conducting multi-objective design optimization with consideration for the perturbation induced by parameter uncertainties. For optimization, a parametric model of the NPR structure is first established based on the relationships between parameters. To promote computational efficiency, an optimal Latin hypercube sampling technique and the dual response surface method are combined to build surrogate models between responses and inputs. A multi-objective particle swarm optimization algorithm and six sigma criteria are then applied to obtain the optimal design parameters of the structure. The optimization results are validated by comparisons with the results of multi-objective deterministic optimization. The comparison results show that the proposed NPR energy absorption structure improves pedestrian lower leg protection significantly, and its performance is further improved by the proposed multi-objective robust design optimization. This study serves as a good example of the safety promotion provided by applying NPR structures with enhanced energy absorption capacity in vehicles.

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References

  • Arnoux PJ (2015) Incidences of various passenger vehicle front-end designs on pedestrian lower limb injuries. Int J Crashworthiness 20(4):1–11

    Google Scholar 

  • Chua CheeKai (2015) 3D printing and additive manufacturing: principles and applications (fourth edition). World Scientific Press, 19–29

  • Duan L, Li G, Cheng A, Sun G, Song K (2016) Multi-objective system reliability-based optimization method for design of a fully parametric concept car body. Engineering optimization, 49(7):1247–1263

  • Fang J, Gao YK, Sun G, Xu CM, Li Q (2015) Multiobjective robust design optimization of fatigue life for a truck cab. Reliab Eng Syst Saf 135(135):1–8

    Article  Google Scholar 

  • Fang J, Sun G, Qiu N, Kim NH, Li Q (2017) On design optimization for structural crashworthiness and its state of the art. Struct Multidiscip Optim 55(3):1091–1119

  • Gibson I, Rosen D, Stucker B (2015) Additive manufacturing technologies: rapid prototyping to direct digital manufacturing. Springer, 17–38

  • Hallquist JO (2006) LS-DYNA theory manual. Livermore Software Technology Corporation

  • Hamad H, Al-Smadi A (2007) Space partitioning in engineering design via metamodel acceptance score distribution. Eng Comput 23(3):175–185

    Article  Google Scholar 

  • Han YH, Lee YW (2002) Optimization of bumper structure for pedestrian lower leg impact. 2002-01-0023, doi:10.4271/2002-01-0023

  • Huang T, Song X, Liu X (2016) The multi-objective robust optimization of the loading path in the t-shape tube hydroforming based on dual response surface model. Int J Adv Manuf Technol 82(9–12):1595–1605

    Article  Google Scholar 

  • Hui YL (2015) Multi-objective optimization Design of Front-end Structure for a SUV car based on pedestrian lower extremity protection. Machinery Des Manuf 12:94–97

    Google Scholar 

  • Lee YH, Joo YJ, Park JS, Kim YS, Yim HJ (2014) Robust design optimization of frontal structures for minimizing injury risks of flex pedestrian legform impactor. Int J Automot Technol 15(5):757–764

    Article  Google Scholar 

  • Li Y, Cui Z, Zhang D, Xueyu R, Chen J (2006) Six sigma optimization in sheet metal forming based on dual response surface model. Chinese J Mech Eng 19(2):251–255

    Article  Google Scholar 

  • Liu W, Cheng X, Shan Y, Li H (2011) Improvement of bumper structure for pedestrian lower leg protection based on Euro-NCAP. International Conference on Mechatronic Science, Electric Engineering and Computer, 648–652

  • Lv X, Gu X, He L, Zhou D, Liu W (2015) Reliability design optimization of vehicle front-end structure for pedestrian lower extremity protection under multiple impact cases. Thin-Walled Struct 94:500–511

    Article  Google Scholar 

  • Lv XJ, Gu XG, Wang GR, Zhou DY, Liu WG (2016). Reliability optimization on pedestrian flexible legform impact based on ensemble of metamodel. J Mech Eng 52(10):142–149

  • Matsui Y (2014) Safety assessment characteristics of pedestrian legform impactors in vehicle-front impact tests. Accid Anal Prev 73:65–72

    Article  Google Scholar 

  • Mohapatra S (2005) Rapid design solutions for automotive bumper energy absorbers using morphing technique [C]. Altair CAE users conferences, August 11-13, Bangalore, India

  • Park JS (1994) Optimal Latin-hypercube designs for computer experiments. J Stat Plann Inference 39(1):95–111

    Article  MathSciNet  MATH  Google Scholar 

  • Qian L, Song J, Gu X (2015) Robustness optimization design of bumper structure based on protection of pedestrian lower leg. China Mech Eng 26(7):982–987

    Google Scholar 

  • Stocki R (2005) A method to improve design reliability using optimal Latin hypercube sampling. Comput Assist Mech Eng Sci 12(4):393–411

    Google Scholar 

  • Sun G, Li G, Zhou S, Li H, Hou S, Li Q (2011) Crashworthiness design of vehicle by using multiobjective robust optimization. Struct Multidiscip Optim 44(1):99–110

    Article  Google Scholar 

  • Sun G, Li G, Li Q (2012) Variable fidelity design based surrogate and artificial bee colony algorithm for sheet metal forming process. Finite Elem Anal Des 59:76–90

    Article  Google Scholar 

  • Sun L, Yang QL, Zeng YP, Guo YY (2016) The optimization of the system parameters of passenger Vehicles' bumper on the base of pedestrian protection. Bull Sci Technol 32(6):195–199

    Google Scholar 

  • The World Health Organization (WHO) (2013) Global status report on road safety 2013:supporting a decade of action [R]. Department of Violence and Injury Prevention and Disability, World Health Organization, Geneva

    Google Scholar 

  • Wu J, Shangguan WB (2010) Robust optimization design method for powertrain mounting systems based on six sigma quality control criteria. Int J Automot Technol 11(11):651–658

    Article  Google Scholar 

  • Zhang Z, Bai X, He Z (2008) Construction of six sigma tolerance design model based on dual response surface methodology. Intelligent control and automation, 2008. Wcica 2008. World Congress on (pp.960-964). IEEE

  • Zhang Z, Li X, Xu Z, He Y, Yang H (2016) Optimization of bumper energy-absorbing structure for pedestrian leg protection. Automot Eng 38(1):42–64

    Google Scholar 

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Acknowledgements

This work was supported by the Natural Science Foundation of Jiangsu Province (Grant No. BK20160791), the National Natural Science Foundation of China (Grant No. 51605219 and Grant No. 51375007), the Aeronautical Science Found of China (2016ZA52003), the Visiting Scholar Foundation of the State Key Lab of Mechanical Transmission in Chongqing University (Grant No. SKLMT-KFKT-201608). The help provided by Dr. Zheng-Dong Ma is appreciated.

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Correspondence to Wanzhong Zhao.

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This study was funded by the Natural Science Foundation of Jiangsu Province (grant number BK20160791), the National Natural Science Foundation of China (grant number 51605219 and grant number 51375007), the Aeronautical Science Found of China (2016ZA52003) and the Visiting Scholar Foundation of the State Key Lab of Mechanical Transmission in Chongqing University (Grant No. SKLMT-KFKT-201608).

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Zhou, G., Zhao, W., Li, Q. et al. Multi-objective robust design optimization of a novel NPR energy absorption structure for vehicles front ends to enhance pedestrian lower leg protection. Struct Multidisc Optim 56, 1215–1224 (2017). https://doi.org/10.1007/s00158-017-1754-9

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  • DOI: https://doi.org/10.1007/s00158-017-1754-9

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