Skip to main content

Advertisement

Log in

Multi-objective explosion-proof performance optimization of a novel vehicle door with negative Poisson’s ratio structure

  • INDUSTRIAL APPLICATION
  • Published:
Structural and Multidisciplinary Optimization Aims and scope Submit manuscript

Abstract

In order to enhance the explosion-proof performance of the door and reduce the injury to passengers caused by the explosion impact load, this paper introduces the negative Poisson’s ratio (NPR) structure to the traditional door, and proposes a NPR explosion-proof door. It adopts the NPR functionally graded material to form the inner core part between the outer panel and inner panel, and sets different thicknesses to different gradient layers to meet the performance requirements of energy absorption and impact resistance. Because the relationships between the parameters and the performance indexes are unknown for this novel door, this work obtains the quantitative relationship between them by means of the response surface model (RSM). Based on this, the optimization mathematical models are established taking the inner panel acceleration, inner panel intrusion, energy absorption of NPR inner core structure and the mass of explosion-proof door as the optimization objectives. Then, a multi-objective optimization design is conducted for the novel explosion-proof door based on adaptive hybrid multi-objective particle swarm optimization (AHMOPSO) algorithm. Simulation results show that compared with the traditional door, the explosion-proof door optimized by AHMOPSO algorithm has better comprehensive explosion-proof performance. The results of this paper can provide some basis for the design and optimization of the explosion-proof door.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  • Anderson CE, Behner T, Weiss CE (2011) Mine blast loading experiments. Int J Impact Eng 38(8–9):697–706

    Article  Google Scholar 

  • Baranowski P, Malachowski J (2015) Numerical study of selected military vehicle chassis subjected to blast loading in terms of tire strength improving. Bulletin of the Polish Academy of Sciences. Tech Sci 63(4):867–878

    Google Scholar 

  • Bayat M, Rahimi M, Saleem M, Mohazzab AH, Wudtke I, Talebi H (2014) One-dimensional analysis for magneto-thermo-mechanical response in a functionally graded annular variable-thickness rotating disk. Appl Math Model 38(19–20):4625–4639

    Article  MathSciNet  Google Scholar 

  • Bocchieri RT, Kirkpatrick SW, Peterson B (2012) Simulation-based design of vehicles exposed to blast threats for improved occupant survivability. WIT Trans Built Environment 108:459–470

    Google Scholar 

  • Coello CAC, Pulido GT, Lechuga MS (2004) Handling multiple objectives with particle swarm optimization. IEEE Trans Evol Comput 8(3):256–279

    Article  Google Scholar 

  • Cui S, Ni X, Zhang K (2017) Dynamic analysis of auxetic sandwich beams under blast loading. J Vib Shock 36(13):172–177

    Google Scholar 

  • Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182–197

    Article  Google Scholar 

  • Dong YP, Lu ZH, Dong YP (2012) Analysis and evaluation of an anti-shock seat with a multi-stage non. Proceedings of the institution of mechanical engineers part D. J Automobil Eng 226(8):1037–1047

    Article  Google Scholar 

  • Duc ND, Seung-Eock K, Cong PH, Anh NT, Khoa ND (2017a) Dynamic response and vibration of composite double curved shallow shells with negative Poisson's ratio in auxetic honeycombs core layer on elastic foundations subjected to blast and damping loads. Int J Mech Sci 133:504–512

    Article  Google Scholar 

  • Duc ND, Seung-Eock K, Tuan ND, Tran P, Khoa ND (2017b) New approach to study nonlinear dynamic response and vibration of sandwich composite cylindrical panels with auxetic honeycomb core layer. Aerosp Sci Technol 70:396–404

    Article  Google Scholar 

  • Eskandari H, Geiger CD (2008) A fast Pareto genetic algorithm approach for solving expensive multiobjective optimization problems. J Heuristics 14(3):203–241

    Article  MATH  Google Scholar 

  • Falkenreck TE, Boellinghaus T (2016) Blast resistance of high-strength structural steel welds. Welding World 60(3):475–483

    Article  Google Scholar 

  • Fang JG, Gao YK, Sun GY, Zheng G, Li Q (2015) Dynamic crashing behavior of new extrudable multi-cell tubes with a functionally graded thickness. Int J Mech Sci 103:63–73

    Article  Google Scholar 

  • Fang JG, Gao YK, An XZ, Sun GY, Chen JN, Li Q (2016) Design of transversely-graded foam and wall thickness structures for crashworthiness criteria. Composites Part B Engineering 92:338–349

    Article  Google Scholar 

  • Fang JG, Sun GY, 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

    Article  MathSciNet  Google Scholar 

  • Fox DM, Huang X, Jung D, Fourney WL, Leiste U, Lee JS (2011) The response of small scale rigid targets to shallow buried explosive detonations. Int J Impact Eng 38(11):882–891

    Article  Google Scholar 

  • Goetz J, Tan H, Renaud J, Tovar A (2012) Two-material optimization of plate Armour for blast mitigation using hybrid cellular automata. Eng Optim 44(8):985–1005

    Article  Google Scholar 

  • Guo Q, Zhou Y, Wang X, She L, Wei R (2016) Numerical simulations and experimental analysis of a vehicle cabin and its occupants subjected to a mine blast. Proceedings of the institution of mechanical engineers part D. J Automobil Eng 230(5):623–631

    Article  Google Scholar 

  • Hou SJ, Liu TQ, Zhang ZD, Han X, Li Q (2015) How does negative Poisson’s ratio of foam filler affect crashworthiness. Mater Des 82:247–259

    Article  Google Scholar 

  • Imbalzano G, Tran P, Ngo TD, Lee PVS (2016) A numerical study of auxetic composite panels under blast loadings. Compos Struct 135:339–352

    Article  Google Scholar 

  • Imbalzano G, Linforth S, Ngo TD, Lee PVS, Tran P (2017a) Blast resistance of auxetic and honeycomb sandwich panels: comparisons and parametric designs. Compos Struct 183:242–261

    Article  Google Scholar 

  • Imbalzano G, Tran P, Ngo TD, Lee PVS (2017b) Three-dimensional modelling of auxetic sandwich panels for localised impact resistance. J Sandw Struct Mater 19(3):291–316

    Article  Google Scholar 

  • Jin X, Wang Z, Ning J, Xiao G, Liu E, Shu XF (2016) Dynamic response of sandwich structures with graded auxetic honeycomb cores under blast loading. Composites Part B Engineering 106:206–217

    Article  Google Scholar 

  • Johnson TE, Basudhar A (2015) A metamodel-based shape optimization approach for shallow-buried blast-loaded flexible underbody targets. Int J Impact Eng 75:229–240

    Article  Google Scholar 

  • Johnson GR, Cook WH (1983) A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. Proceedings of the 7th International Symposium on Ballistics. Hague, Netherlands

  • Khalkhali A, Mostafapour M, Tabatabaie SM, Ansari B (2016) Multi-objective crashworthiness optimization of perforated square tubes using modified NSGAII and MOPSO. Struct Multidiscip Optim 54(1):1–17

    Article  Google Scholar 

  • Li H, Liu Y (2014) Functionally graded hollow cylinders with arbitrary varying material properties under nonaxisymmetric loads. Mech Res Commun 55(55):1–9

    Article  Google Scholar 

  • Liu H, Cao ZK, Yao GC, Luo HJ, Zu GY (2013) Performance of aluminum foam–steel panel sandwich composites subjected to blast loading. Mater Des 47(9):483–488

    Google Scholar 

  • Ma ZD (2016) Homogenization method for designing novel architectured cellular materials. VII European Congress on Computational Methods in Applied Sciences and Engineering, Grete Island, Greece

  • Mackiewicz A, Sławiński G, Niezgoda T, Będziński R (2016) Numerical analysis of the risk of neck injuries caused by IED explosion under the vehicle in military environments. Acta Mech Et Auto 10(4):258–264

    Google Scholar 

  • Montgomery DC, Evans DM (1975) Second order response surface designs in computer simulation. Simul Trans Soc Model Simul Int 25(6):169–178

    MATH  Google Scholar 

  • Mousavi SM, Sadeghi J, Niaki STA, Tavana M (2016) A bi-objective inventory optimization model under inflation and discount using tuned Pareto-based algorithms. Appl Soft Comput 43(C):57–72

    Article  Google Scholar 

  • NATO (2004) STANAG 4569—Protection levels for occupants of logistics and light armored vehicles

  • Panowicz R, Sybilski K, Koodziejczyk D, Niezgoda T, Barnat W (2011) Numerical analysis of effects of IED side explosion on crew of lightarmoured wheeled vehicle. J Kones 4(18):331–339

    Google Scholar 

  • Qi C, Yang S, Yang LJ, Wei ZY, Lu ZH (2013) Blast resistance and multi-objective optimization of aluminum foam-cored sandwich panels. Compos Struct 105(8):45–57

    Article  Google Scholar 

  • Qi C, Remennikov A, Pei LZ, Yang S, Yu ZH, Ngo DT (2017) Impact and close-in blast response of auxetic honeycomb-cored sandwich panels: experimental tests and numerical simulations. Compos Struct 180:161–178

    Article  Google Scholar 

  • Qiao JX, Chen CQ (2015) Impact resistance of uniform and functionally graded auxetic double arrowhead honeycombs. Int J Impact Eng 83:47–58

    Article  Google Scholar 

  • Raquel CR, Naval PC (2005) An effective use of crowding distance in multiobjective particle swarm optimization. Genetic and Evolutionary Computation Conference, Washington DC

    Book  Google Scholar 

  • Rolc C, Buchar J, Kratky J (2011) Armoured vehicle response to the roadside mine threat. 26th Internatianal symposium on ballistics, Miami, America

  • Rui N, Zhang W, Li G, Liu X (2011) A more useful AHMOPSO (adaptive hybrid multi-objective particle swarm optimization) algorithm. J Northwest Polytech Univ 29(5):695–701

    Google Scholar 

  • Shariati M, Sadeghi H, Ghannad M, Gharooni H (2015) Semi analytical analysis of FGM thick-walled cylindrical pressure vessel with longitudinal variation of elastic modulus under internal pressure. Hydrocarb Process 7:131–145

    Google Scholar 

  • Shi L, Yang RJ, Zhu P (2012) A method for selecting surrogate models in crashworthiness optimization. Struct Multidiscip Optim 46(2):159–170

    Article  Google Scholar 

  • Song XG, Sun GY, Li GY, Gao WZ, Li Q (2013) Crashworthiness optimization of foam-filled tapered thin-walled structure using multiple surrogate models. Struct Multidiscip Optim 47(2):221–231

    Article  MathSciNet  MATH  Google Scholar 

  • Sun GY, Li GY, Hou SJ, Zhou SW, Li W, Li Q (2010) Crashworthiness design for functionally graded foam-filled thin-walled structures. Mate Sci Eng 527(7–8):1911–1919

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Sun GY, Pang T, Fang JG, Li GY, Li Q (2017a) Parameterization of Criss-cross configurations for multiobjective crashworthiness optimization[J]. Int J Mech Sci 124-125:145–157

    Article  Google Scholar 

  • Sun GY, Pang T, Xu CL, Zheng G, Song J (2017b) Energy absorption mechanics for variable thickness thin-walled structures. Thin-Walled Struct 118:214–228

    Article  Google Scholar 

  • Sun GY, Zhang HL, Lu GX, Guo JW, Cui JJ, Li Q (2017c) An experimental and numerical study on quasi-static and dynamic crashworthiness for tailor rolled blank (TRB) structures. Mater Des 118:175–197

    Article  Google Scholar 

  • Toussaint G, Durocher R (2008) Finite element simulation using sph particles as loading on typical light armoured vehicles. 10th Internatianal LS-DYNA Users Conference, valcartier, Canada

  • Wang XT, Li XW, Ma L (2016) Interlocking assembled 3D auxetic cellular structures. Mater Des 99:467–476

    Article  Google Scholar 

  • Wang YL, Wang LM, Ma ZD, Wang T (2017) Finite element analysis of a jounce bumper with negative Poisson’s ratio structure. Proceedings of the institution of mechanical engineers part C. J Mech Eng Sci 231(23):4374–4387

    Article  Google Scholar 

  • Wang CY, Li Y, Zhao WZ, Zou SC, Zhou G, Wang YL (2018) Structure design and multi-objective optimization of a novel crash box based on biomimetic structure. Int J Mech Sci 138-139:489–501

    Article  Google Scholar 

  • Wei R, Wang X, Zhang M, Zhou Y, Wang L (2017) Application of dimension reduction based multi-parameter optimization for the design of blast-resistant vehicle. Struct Multidiscip Optim 56(4):903–917

    Article  Google Scholar 

  • Xiao Z, Fang JG, Sun GY, Li Q (2015) Crashworthiness design for functionally graded foam-filled bumper beam. Adv Eng Softw 85(C):81–95

    Article  Google Scholar 

  • Yamasaki S, Kawamoto A, Nomura T (2012) Compliant mechanism design based on the level set and arbitrary Lagrangian Eulerian methods. Struct Multidiscip Optim 46(3):343–354

    Article  MathSciNet  MATH  Google Scholar 

  • Yang Y, Liou WW, Sheng J, Gorsich D, Arepally S (2013) Shock wave impact simulation of a vehicle occupant using fluid/structure/dynamics interactions. Int J Impact Eng 52(2–3):11–22

    Article  Google Scholar 

  • Yuen SCK, Langdon GS, Nurick GN, Pickering EG, Balden VH (2012) Response of V-shape plates to localised blast load: experiments and numerical simulation. Int J Impact Eng 46(4):97–109

    Article  Google Scholar 

  • Zhang X, Zhou Y, Wang X, Wang Z (2016) Modelling and analysis of the vehicle underbody and the occupants subjected to a shallow-buried-mine blast impulse. Proceedings of the institution of mechanical engineers part D. J Automobil Eng 231(2):214–224

    Article  Google Scholar 

  • Zhou SW, Li Q (2008) Design of graded two-phase microstructures for tailored elasticity gradients. J Mater Sci 43(15):5157–5167

    Article  Google Scholar 

  • Zhou G, Ma ZD, Li GY, Cheng AG, Zhao WZ (2016) Design optimization of a novel NPR crash box based on multi-objective genetic algorithm. Struct Multidiscip Optim 54(3):1–12

    Google Scholar 

  • Zhu F, Zhao L, Lu G, Gad E (2009) A numerical simulation of the blast impact of square metallic sandwich panels. Int J Impact Eng 36(5):687–699

    Article  Google Scholar 

  • Zhu GH, Li SF, Sun GY, Li GY, Li Q (2016) On design of graded honeycomb filler and tubal wall thickness for multiple load cases. Thin-Walled Struct 109:377–389

    Article  Google Scholar 

Download references

Funding

This work was support by the Aeronautical Science Found of China (Grant No. 2016ZA52003), the National Natural Science Foundation of China (Grant number 51605219), Natural Science Foundation of Jiangsu Province (Grant Nos. BK20151472, BK20170784) and the Natural Science Foundation of Jiangsu Province (grant number BK20160791).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to WanZhong Zhao.

Additional information

Responsible Editor: Qing Li

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, C., Zou, S., Zhao, W. et al. Multi-objective explosion-proof performance optimization of a novel vehicle door with negative Poisson’s ratio structure. Struct Multidisc Optim 58, 1805–1822 (2018). https://doi.org/10.1007/s00158-018-2026-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00158-018-2026-z

Keywords

Navigation