Skip to main content

Advertisement

SpringerLink
Log in

Multiobjective and multicollision scenario reliability-based design optimization of honeycomb-filled composite energy-absorbing structures for subways

  • Industrial Application Paper
  • Published:
Structural and Multidisciplinary Optimization Aims and scope Submit manuscript

Abstract

A honeycomb-filled composite energy-absorbing structure (HCES) installed at the front end of a subway has an extensive range of application prospects in various crashworthy buffer structures due to its excellent energy-absorbing performance. Research to date on the crashworthiness optimization of energy-absorbing structure has mainly focused on a single collision scenario. However, in train collision accidents, the collision scenarios are diverse and unpredictable, implying that the optimal design under a certain collision scenario may no longer be applicable under other collision scenarios. Additionally, in actual manufacturing, there may be uncertainties in the design parameters. Unfortunately, uncertain structural optimization problems solved with deterministic optimization methods may lead to structural instability or even failure. To this end, this study formulates a multiobjective and multicollision scenario reliability-based design optimization that combines a radial basis function, Monte Carlo simulation (MCS), NSGA-II and the order preference by similarity to an ideal solution (TOPSIS) to seek an optimal reliability design for HCESs that meets the requirements of multiple collision scenarios in European standard EN 15227. The optimization results show that the presented reliability-based optimization method has fair effectiveness and can enhance the robustness of an HCES under multiple collision scenarios, implying that the proposed approach can provide meaningful guidelines for the structural crashworthiness design of subways.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25

Similar content being viewed by others

References

  • BS EN 15227 (2008) Railway applications: crashworthiness requirements for railway vehicle bodies. British Standards Institution, London

    Google Scholar 

  • Calle MAG, Oshiro RE, Alves M (2017) Ship collision and grounding: scaled experiments and numerical analysis. Int J Impact Eng 103:195–210

    Article  Google Scholar 

  • Cao L, Liu J, Xie L, Jiang C, Bi R (2021) Non-probabilistic polygonal convex set model for structural uncertainty quantification. Appl Math Model 89:504–518

    Article  MathSciNet  MATH  Google Scholar 

  • Chen Y, Liu G, Zhang Z, Hou S (2017) Integrated design technique for materials and structures of vehicle body under crash safety considerations. Struct Multidisc Optim 56(2):455–472

    Article  Google Scholar 

  • Cheng J, Liu Z, Tang M, Tan J (2017) Robust optimization of uncertain structures based on normalized violation degree of interval constraint. Comput Struct 182:41–54

    Article  Google Scholar 

  • Cheng W, Zhang H, Fu S, Xie H, Tang Z, Zhu Z (2019) A process-performance coupled design method for hot-stamped tailor rolled blank structure. Thin-Walled Struct 140:132–143

    Article  Google Scholar 

  • Cheng Y, Yeh H, Lee C (2022) Multi-objective optimization of the honeycomb core in a honeycomb structure using uniform design and grey relational analysis. Eng Optim 54(2):286–304

    Article  Google Scholar 

  • Das Neves Carneiro G, Conceição António C (2019) Reliability-based Robust Design Optimization with the Reliability Index Approach applied to composite laminate structures. Compos Struct 209:844–855

    Article  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 

  • Deng W, Yao R, Zhao H, Yang X, Li G (2019) A novel intelligent diagnosis method using optimal LS-SVM with improved PSO algorithm. Soft Comput 23(7):2445–2462

    Article  Google Scholar 

  • Ebrahimi S, Vahdatazad N (2015) Multiobjective optimization and sensitivity analysis of honeycomb sandwich cylindrical columns under axial crushing loads. Thin-Walled Struct 88:90–104

    Article  Google Scholar 

  • Erice B, Gálvez F, Cendón DA, Sánchez-Gálvez V (2012) Flow and fracture behaviour of FV535 steel at different triaxialities, strain rates and temperatures. Eng Fract Mech 79:1–17

    Article  Google Scholar 

  • Fang J, Gao Y, Sun G, Li Q (2013) Multiobjective reliability-based optimization for design of a vehicledoor. Finite Elem Anal Des 67:13–21

    Article  Google Scholar 

  • Fang J, Gao Y, Sun G, Zhang Y, Li Q (2014) Crashworthiness design of foam-filled bitubal structures with uncertainty. Int J Non-Linear Mech 67:120–132

    Article  Google Scholar 

  • Fang J, Gao Y, Sun G, Qiu N, Li Q (2015) On design of multi-cell tubes under axial and oblique impact loads. Thin-Walled Struct 95:115–126

    Article  Google Scholar 

  • Fazilati J, Alisadeghi M (2016) Multiobjective crashworthiness optimization of multi-layer honeycomb energy absorber panels under axial impact. Thin-Walled Struct 107:197–206

    Article  Google Scholar 

  • Gao G, Wang S (2019) Crashworthiness of passenger rail vehicles: a review. Int J Crashworthiness 24(6):664–676

    Article  Google Scholar 

  • Gao G, Guan W, Li J, Dong H, Zou X, Chen W (2017) Experimental investigation of an active–passive integration energy absorber for railway vehicles. Thin-Walled Struct 117:89–97

    Article  Google Scholar 

  • GB/T 228.1-2010 (2010) Metallic materials-tensile testing—part 1: method of test at room temperature. Standardization Administration of the People's Republic of China.

  • Goyal S, Anand CS, Sharma SK, Sharma RC (2019) Crashworthiness analysis of foam filled star shape polygon of thin-walled structure. Thin-Walled Struct 144:106312

    Article  Google Scholar 

  • Gu X, Lu J (2014) Reliability-based robust assessment for multiobjective optimization design of improving occupant restraint system performance. Comput Ind 65(8):1169–1180

    Article  Google Scholar 

  • Guan W, Gao G (2022) Crashworthiness analysis of shrink circular tube energy absorbers with anti-climbers under multiple loading cases. Mech Adv Mater Struct 1–17.

  • Guan W, Gao G, Li J, Yu Y (2018) Crushing analysis and multi-objective optimization of a cutting aluminium tube absorber for railway vehicles under quasi-static loading. Thin-Walled Struct 123:395–408

    Article  Google Scholar 

  • Guan W, Yu Y, Gao G (2021) Crashworthiness performance and multiobjective optimization of a combined splitting circular tube energy absorber under eccentric impact for subway vehicles. Int J Impact Eng 158:104006

    Article  Google Scholar 

  • Hou L, Peng Y, Sun D (2020) Neck injury mechanisms in train collisions: dynamic analysis and data mining of the driver impact injury. Accid Anal Prev 146:105725

    Article  Google Scholar 

  • Huang H, Xu S (2019) Crashworthiness analysis and bionic design of multi-cell tubes under axial and oblique impact loads. Thin-Walled Struct 144:106333

    Article  Google Scholar 

  • Lei F, Lv X, Fang J, Sun G, Li Q (2020) Multiobjective discrete optimization using the TOPSIS and entropy method for protection of pedestrian lower extremity. Thin-Walled Struct 152:106349

    Article  Google Scholar 

  • Li Z, Yao S, Ma W, Xu P, Che Q (2019) Energy-absorption characteristics of a circumferentially corrugated square tube with a cosine profile. Thin-Walled Struct 135:385–399

    Article  Google Scholar 

  • Li P, Yang F, Bian Y, Zhang S, Wang L (2021a) Deformation pattern classification and energy absorption optimization of the eccentric body centered cubic lattice structures. Int J Mech Sci 212:106813

    Article  Google Scholar 

  • Li Z, Ma W, Zhu H, Deng G, Hou L, Xu P, Yao S (2021b) Energy absorption prediction and optimization of corrugation-reinforced multicell square tubes based on machine learning. Mech Adv Mater Struct 1–19.

  • Liu Q, Xu X, Ma J, Wang J, Shi Y, Hui D (2017) Lateral crushing and bending responses of CFRP square tube filled with aluminum honeycomb. Compos B Eng 118:104–115

    Article  Google Scholar 

  • 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 

  • Nian Y, Wan S, Zhou P, Wang X, Santiago R, Li M (2021) Energy absorption characteristics of functionally graded polymer-based lattice structures filled aluminum tubes under transverse impact loading. Mater Des 209:110011

    Article  Google Scholar 

  • Paz J, Díaz J, Romera L (2020) Analytical and numerical crashworthiness uncertainty quantification of metallic thin-walled energy absorbers. Thin-Walled Struct 157:107022

    Article  Google Scholar 

  • Peng Y, Deng W, Xu P, Yao S (2015) Study on the collision performance of a composite energy-absorbing structure for subway vehicles. Thin-Walled Struct 94:663–672

    Article  Google Scholar 

  • Peng Y, Wang X, Xiong X, Xu P (2016) Crashing analysis and multi-objective optimisation of duplex energy-absorbing structure for subway vehicle. Int J Crashworthiness 21(4):338–352

    Article  Google Scholar 

  • Qi C, Sun Y, Hu H, Wang D, Cao G, Yang S (2016) On design of hybrid material double-hat thin-walled beams under lateral impact. Int J Mech Sci 118:21–35

    Article  Google Scholar 

  • Qiu N, Jin Z, Liu J, Fu L, Chen Z, Kim NH (2021) Hybrid multi-objective robust design optimization of a truck cab considering fatigue life. Thin-Walled Struct 162:107545

    Article  Google Scholar 

  • Saliby E (1990) Descriptive sampling: a better approach to Monte Carlo simulation. J Oper Res Soc 41(12):1133–1142

    Article  Google Scholar 

  • Sun G, Song X, Baek S, Li Q (2014) Robust optimization of foam-filled thin-walled structure based on sequential Kriging metamodel. Struct Multidisc Optim 49(6):897–913

    Article  Google Scholar 

  • Sun G, Zhang H, Fang J, Li G, Li Q (2017a) Multi-objective and multi-case reliability-based design optimization for tailor rolled blank (TRB) structures. Struct Multidisc Optim 55(5):1899–1916

    Article  Google Scholar 

  • Sun G, Zhang H, Wang R, Lv X, Li Q (2017b) Multiobjective reliability-based optimization for crashworthy structures coupled with metal forming process. Struct Multidisc Optim 56(6):1571–1587

    Article  Google Scholar 

  • Taghipoor H, Damghani Nouri M (2018) Experimental and numerical investigation of lattice core sandwich beams under low-velocity bending impact. J Sandwich Struct Mater 21(6):2154–2177

    Article  Google Scholar 

  • Tian WY, Sun WT, Ni BY, Li JW, Wu ZT (2021) An interval robust design optimization method and its application in heat transfer problems. Eng Optim 53(10):1805–1818

    Article  MathSciNet  Google Scholar 

  • Tran T (2020) Study on the crashworthiness of windowed multi-cell square tubes under axial and oblique impact. Thin-Walled Struct 155:106907

    Article  Google Scholar 

  • Wang L, Ma Y, Yang Y, Wang X (2019) Structural design optimization based on hybrid time-variant reliability measure under non-probabilistic convex uncertainties. Appl Math Model 69:330–354

    Article  MathSciNet  MATH  Google Scholar 

  • Wang W, Dai S, Zhao W, Wang C, Ma T, Chen Q (2020) Reliability-based optimization of a novel negative Poisson’s ratio door anti-collision beam under side impact. Thin-Walled Struct 154:106863

    Article  Google Scholar 

  • Wang D, Xu P, Yang C, Xiao X, Che Q (2022) Crashing performance and multi-objective optimization of honeycomb-filled thin-walled energy absorber with axisymmetric thickness. Mech Adv Mater Struct 1–18.

  • Xie S, Li H, Yang C, Yao S (2018a) Crashworthiness optimisation of a composite energy-absorbing structure for subway vehicles based on hybrid particle swarm optimisation. Struct Multidisc Optim 58(5):2291–2308

    Article  Google Scholar 

  • Xie S, Li H, Yang W, Wang N (2018b) Crashworthiness optimisation of a composite energy-absorbing structure for railway vehicles. Struct Multidisc Optim 57(4):1793–1807

    Article  Google Scholar 

  • Xiong F, Wang D, Zhang S, Cai K, Wang S, Lu F (2018) Lightweight optimization of the side structure of automobile body using combined grey relational and principal component analysis. Struct Multidisc Optim 57(1):441–461

    Article  Google Scholar 

  • Xu K, Xu P, Yang C, Wang T, Li B, Che Q, Yao S, Huang Q (2020a) Crashworthiness optimisation for the rectangular tubes with axisymmetric and uniform thicknesses under offset loading. Struct Multidisc Optim 62(2):957–977

    Article  Google Scholar 

  • Xu P, Wang D, Yao S, Xu K, Zhao H, Wang S, Guo W, Li B (2021a) Multi-objective uncertain optimization with an ellipsoid-based model of a centrally symmetrical square tube with diaphragms for subways. Struct Multidisc Optim 64(4):2789–2804

    Article  Google Scholar 

  • Xu P, Zhao H, Yao S, Che Q, Xing J, Huang Q, Xu K (2020b) Multi-objective optimisation of a honeycomb-filled composite energy absorber for subway vehicles. Int J Crashworthiness 25(6):603–611

    Article  Google Scholar 

  • Xu X, Chen X, Liu Z, Xu Y, Zhang Y (2021b) Reliability-based design for lightweight vehicle structures with uncertain manufacturing accuracy. Appl Math Model 95:22–37

    Article  MathSciNet  MATH  Google Scholar 

  • Yang C, Xu P, Yao S, Xie S, Li Q, Peng Y (2018) Optimization of honeycomb strength assignment for a composite energy-absorbing structure. Thin-Walled Struct 127:741–755

    Article  Google Scholar 

  • Yang M, Han B, Su P, Zhang Q, Zhang Q, Zhao Z, Ni C, Lu TJ (2021) Crashworthiness of hierarchical truncated conical shells with corrugated cores. Int J Mech Sci 193:106171

    Article  Google Scholar 

  • Yao S, Xiao X, Xu P, Qu Q, Che Q (2018) The impact performance of honeycomb-filled structures under eccentric loading for subway vehicles. Thin-Walled Struct 123:360–370

    Article  Google Scholar 

  • Yao S, Zhou Y, Li Z, Zhang P, Cao Y, Xu P (2021) Energy absorption characteristics of square frustum lattice structure. Compos Struct 275:114492

    Article  Google Scholar 

  • Yu K, Liu Y, Zhang Z (2019) Energy-absorbing analysis and reliability-based multiobjective optimization design of graded thickness B pillar with grey relational analysis. Thin-Walled Struct 145:106364

    Article  Google Scholar 

  • Zhang D, Zhou P, Jiang C, Yang M, Han X, Li Q (2021) A stochastic process discretization method combing active learning Kriging model for efficient time-variant reliability analysis. Comput Methods Appl Mech Eng 384:113990

    Article  MathSciNet  MATH  Google Scholar 

  • Zhou Y, Lu Z, Yun W (2020) Active sparse polynomial chaos expansion for system reliability analysis. Reliab Eng Syst Saf 202:107025

    Article  Google Scholar 

  • Ziha K (1995) Descriptive sampling in structural safety. Struct Saf 17(1):33–41

    Article  Google Scholar 

Download references

Acknowledgements

This work is supported by the Changsha Municipal Natural Science Foundation (Grant No. kq2202102), the National Key Research and Development Program of China (Grant Nos. 2021YFB3703801, 2021YFB3703801-02), the Scientific Research Foundation for Young Scholars of Central South University (Grant No. 202044019), and the Leading Talents of Science and Technology of Hunan Province (Grant No. 2019RS3018). The financial support is gratefully acknowledged.

Funding

Funding was provided by the Changsha Municipal Natural Science Foundation (Grant No. kq2202102), the National Key Research and Development Program of China (Grant Nos. 2021YFB3703801, 2021YFB3703801-02), the Scientific Research Foundation for Young Scholars of Central South University (Grant No. 202044019), and the Leading Talents of Science and Technology of Hunan Province (Grant No. 2019RS3018). The financial support is gratefully acknowledged.

Author information

Authors and Affiliations

  1. Key Laboratory of Traffic Safety on Track (Central South University), Ministry of Education, School of Traffic & Transportation Engineering, Central South University, Changsha, 410075, China

    Dongtao Wang, Ping Xu, Xianliang Xiao, Lingxiang Kong, Quanwei Che & Chengxing Yang

  2. Joint International Research Laboratory of Key Technology for Rail Traffic Safety, Central South University, Changsha, 410075, China

    Dongtao Wang, Ping Xu, Xianliang Xiao, Lingxiang Kong, Quanwei Che & Chengxing Yang

  3. National & Local Joint Engineering Research Center of Safety Technology for Rail Vehicle, Central South University, Changsha, 410075, China

    Dongtao Wang, Ping Xu, Xianliang Xiao, Lingxiang Kong, Quanwei Che & Chengxing Yang

  4. CRRC Qingdao Sifang Co., Ltd., Qingdao, 266111, China

    Quanwei Che

Authors
  1. Dongtao Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ping Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xianliang Xiao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Lingxiang Kong
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Quanwei Che
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Chengxing Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chengxing Yang.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Replication of results

The nonlinear finite element code LS-DYNA version SMP R7.1.1 is used to solve the FE modelling problems in this paper. Based on the multiobjective and multicollision scenario reliability-based design optimization procedure proposed in this paper, the Pareto fronts in Figs. 23 and 25 were obtained. If readers need the codes, please contact the corresponding author of this paper. The results were presented in Fig. 23 and the corresponding raw data were given in ESM_1.xlsx. The results were presented in Fig. 25 and the corresponding raw data were given in ESM_2.xlsx.

Additional information

Responsible Editor: Byeng D. Youn

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (XLSX 36 kb)

Supplementary file2 (XLSX 64 kb)

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, D., Xu, P., Xiao, X. et al. Multiobjective and multicollision scenario reliability-based design optimization of honeycomb-filled composite energy-absorbing structures for subways. Struct Multidisc Optim 65, 238 (2022). https://doi.org/10.1007/s00158-022-03343-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00158-022-03343-5

Keywords

Search

Navigation