Crashing performance and multi-objective optimization of honeycomb-filled thin-walled energy absorber with axisymmetric thickness

References

• W. Ma, S. Xie, and Z. Li, Mechanical performance of bio-inspired corrugated tubes with varying vertex configurations, Int. J. Mech. Sci., vol. 172, p. 105399, 2020. DOI: 10.1016/j.ijmecsci.2019.105399.
   Web of Science ®Google Scholar
• W. Guan, G. Gao, Y. Yu, and T. Zhuo, Crashworthiness analysis and multi-objective optimization of expanding circular tube energy absorbers with cylindrical anti-clamber under eccentric loading for subway vehicles, Struct. Multidisc. Optim., vol. 61, no. 4, pp. 1711–1729, 2020. DOI: 10.1007/s00158-019-02427-z.
   Web of Science ®Google Scholar
• S. Ebrahimi and N. Vahdatazad, Multiobjective optimization and sensitivity analysis of honeycomb sandwich cylindrical columns under axial crushing loads, Thin-Walled Struct., vol. 88, pp. 90–104, 2015. DOI: 10.1016/j.tws.2014.12.004.
   Web of Science ®Google Scholar
• Z. Zhang, S. Liu, and Z. Tang, Comparisons of honeycomb sandwich and foam-filled cylindrical columns under axial crushing loads, Thin-Walled Struct., vol. 49, no. 9, pp. 1071–1079, 2011. DOI: 10.1016/j.tws.2011.03.017.
   Web of Science ®Google Scholar
• S. Santosa and T. Wierzbicki, Crash behavior of box columns filled with aluminum honeycomb or foam, Comput. Struct., vol. 68, no. 4, pp. 343–367, 1998. DOI: 10.1016/S0045-7949(98)00067-4.
   Web of Science ®Google Scholar
• H. Zhou, P. Xu, and S. Xie, Composite energy-absorbing structures combining thin-walled metal and honeycomb structures, Proc. Inst. Mech. Eng. F: J. Rail Rapid Transit., vol. 231, no. 4, pp. 394–405, 2017. DOI: 10.1177/0954409716631579.
   Web of Science ®Google Scholar
• J. Paz, J. Díaz, L. Romera, and M. Costas, Crushing analysis and multi-objective crashworthiness optimization of GFRP honeycomb-filled energy absorption devices, Finite Elem. Anal. Des., vol. 91, pp. 30–39, 2014. DOI: 10.1016/j.finel.2014.07.006.
   Web of Science ®Google Scholar
• Z. Wang, S. Yao, Z. Lu, D. Hui, and L. Feo, Matching effect of honeycomb-filled thin-walled square tube—Experiment and simulation, Compos. Struct., vol. 157, pp. 494–505, 2016. DOI: 10.1016/j.compstruct.2016.03.045.
   Web of Science ®Google Scholar
• Y. Peng, X. Wang, X. Xiong, and P. Xu, Crashing analysis and multi-objective optimisation of duplex energy-absorbing structure for subway vehicle, Int. J. Crashworthiness, vol. 21, no. 4, pp. 338–352, 2016. DOI: 10.1080/13588265.2016.1188470.
   Web of Science ®Google Scholar
• S. Xie, X. Liang, and H. Zhou, Design and analysis of a composite energy-absorbing structure for use on railway vehicles, Proc. Inst. Mech. Eng. F: J. Rail Rapid Transit., vol. 230, no. 3, pp. 825–839, 2016. DOI: 10.1177/0954409714566058.
   Web of Science ®Google Scholar
• Y. Peng, W. Deng, P. Xu, and S. Yao, Study on the collision performance of a composite energy-absorbing structure for subway vehicles, Thin-Walled Struct., vol. 94, pp. 663–672, 2015. DOI: 10.1016/j.tws.2015.05.016.
   Web of Science ®Google Scholar
• P. Xu, et al., Multi-objective optimisation of a honeycomb-filled composite energy absorber for subway vehicles, Int. J. Crashworthiness, vol. 25, no. 6, pp. 603–611, 2020. DOI: 10.1080/13588265.2019.1626537.
   Web of Science ®Google Scholar
• S. Yao, X. Xiao, P. Xu, Q. Qu, and Q. Che, The impact performance of honeycomb-filled structures under eccentric loading for subway vehicles, Thin-Walled Struct., vol. 123, pp. 360–370, 2018. DOI: 10.1016/j.tws.2017.10.031.
   Web of Science ®Google Scholar
• R.-J. Yang, Y. Fu, and G. Li, Application of tailor rolled blank in vehicle front end for frontal impact, SAE Technical Paper, 2007.
   Google Scholar
• G. Li, F. Xu, G. Sun, and Q. Li, Crashworthiness study on functionally graded thin-walled structures, Int. J. Crashworthiness, vol. 20, no. 3, pp. 280–300, 2015. DOI: 10.1080/13588265.2015.1010396.
   Web of Science ®Google Scholar
• X. An, Y. Gao, J. Fang, G. Sun, and Q. Li, Crashworthiness design for foam-filled thin-walled structures with functionally lateral graded thickness sheets, Thin-Walled Struct., vol. 91, pp. 63–71, 2015. DOI: 10.1016/j.tws.2015.01.011.
   Web of Science ®Google Scholar
• X. Zhang and H. Zhang, Crush resistance of square tubes with various thickness configurations, Int. J. Mech. Sci., vol. 107, pp. 58–68, 2016. DOI: 10.1016/j.ijmecsci.2016.01.003.
   Web of Science ®Google Scholar
• H. Yin, X. Wang, G. Wen, C. Zhang, and W. Zhang, Crashworthiness optimization of bio-inspired hierarchical honeycomb under axial loading, Int. J. Crashworthiness, vol. 26, no. 1, pp. 26–37, 2021. DOI: 10.1080/13588265.2019.1650695.
   Web of Science ®Google Scholar
• J. Fazilati and M. Alisadeghi, Multiobjective crashworthiness optimization of multi-layer honeycomb energy absorber panels under axial impact, Thin-Walled Struct., vol. 107, pp. 197–206, 2016. DOI: 10.1016/j.tws.2016.06.008.
   Web of Science ®Google Scholar
• P. Xu, et al., Parameter study and multi-objective optimisation of an axisymmetric rectangular tube with diaphragms for subways, Thin-Walled Struct., vol. 136, pp. 186–199, 2019. DOI: 10.1016/j.tws.2018.12.025.
   Web of Science ®Google Scholar
• H. Yin, G. Wen, S. Hou, and Q. Qing, Multiobjective crashworthiness optimization of functionally lateral graded foam-filled tubes, Mater. Des., vol. 44, pp. 414–428, 2013. DOI: 10.1016/j.matdes.2012.08.033.
   Web of Science ®Google Scholar
• X. Deng, S. Qin, and J. Huang, Energy absorption characteristics of axially varying thickness lateral corrugated tubes under axial impact loading, Thin-Walled Struct., vol. 163, p. 107721, 2021. DOI: 10.1016/j.tws.2021.107721.
   Web of Science ®Google Scholar
• P. Xu, et al., Multi-objective uncertain optimization with an ellipsoid-based model of a centrally symmetrical square tube with diaphragms for subways, Struct. Multidisc. Optim., vol. 64, no. 4, pp. 2789–2804, 2021. DOI: 10.1007/s00158-021-02990-4.
   Web of Science ®Google Scholar
• M. Emadi, H. Beheshti, and M. Heidari-Rarani, Multi-objective optimization of hybrid aluminum–composite tube under axial crushing, Int. J. Appl. Mech., vol. 12, no. 04, p. 2050042, 2020. DOI: 10.1142/S1758825120500428.
   Google Scholar
• J. Fang, Y. Gao, G. Sun, Y. Zhang, and Q. Li, Parametric analysis and multiobjective optimization for functionally graded foam-filled thin-wall tube under lateral impact, Comput. Mater. Sci., vol. 90, pp. 265–275, 2014. DOI: 10.1016/j.commatsci.2014.03.044.
   Web of Science ®Google Scholar
• Q. Gao, L. Wang, Y. Wang, and C. Wang, Crushing analysis and multiobjective crashworthiness optimization of foam-filled ellipse tubes under oblique impact loading, Thin-Walled Struct., vol. 100, pp. 105–112, 2016. DOI: 10.1016/j.tws.2015.11.020.
   Web of Science ®Google Scholar
• S. Xie, H. Li, W. Yang, and N. Wang, Crashworthiness optimisation of a composite energy-absorbing structure for railway vehicles, Struct. Multidisc. Optim., vol. 57, no. 4, pp. 1793–1807, 2018. DOI: 10.1007/s00158-017-1829-7.
   Web of Science ®Google Scholar
• M. Emadi, H. Beheshti, and M. Heidari-Rarani, Thickness effect study on the crushing characteristics of aluminum and composite tubes: Numerical analysis and multi-objective optimization, Mech. Adv. Mater. Struct., vol. 28, no. 24, pp. 2585–2594, 2021. DOI: 10.1080/15376494.2020.1747667.
   Web of Science ®Google Scholar
• C. Xie and D. Wang, Multi-objective cross-sectional shape and size optimization of S-rail using hybrid multi-criteria decision-making method, Struct. Multidisc. Optim., vol. 62, no. 6, pp. 3477–3492, 2020. DOI: 10.1007/s00158-020-02651-y.
   Web of Science ®Google Scholar
• P. Wang, P. Meng, J.-Y. Zhai, and Z.-Q. Zhu, A hybrid method using experiment design and grey relational analysis for multiple criteria decision making problems, Knowl.-Based Syst., vol. 53, pp. 100–107, 2013. DOI: 10.1016/j.knosys.2013.08.025.
   Web of Science ®Google Scholar
• F. Xu, S. Zhang, K. Wu, and Z. Dong, Multi-response optimization design of tailor-welded blank (TWB) thin-walled structures using Taguchi-based gray relational analysis, Thin-Walled Struct., vol. 131, pp. 286–296, 2018. DOI: 10.1016/j.tws.2018.07.007.
   Web of Science ®Google Scholar
• K. Yu, Y. Liu, and Z. Zhang, Energy-absorbing analysis and reliability-based multiobjective optimization design of graded thickness B pillar with grey relational analysis, Thin-Walled Struct., vol. 145, p. 106364, 2019. DOI: 10.1016/j.tws.2019.106364.
   Web of Science ®Google Scholar
• R. Rao and V. Yadava, Multi-objective optimization of Nd: YAG laser cutting of thin superalloy sheet using grey relational analysis with entropy measurement, Opt Laser Technol., vol. 41, no. 8, pp. 922–930, 2009. DOI: 10.1016/j.optlastec.2009.03.008.
   Web of Science ®Google Scholar
• S. Zhang and F. Xu, A two-stage hybrid optimization for honeycomb-type cellular structures under out-of-plane dynamic impact, Appl. Math. Model., vol. 80, pp. 755–770, 2020. DOI: 10.1016/j.apm.2019.11.052.
   Web of Science ®Google Scholar
• M. Jahani, H. Beheshti, and M. Heidari-Rarani, Effects of geometry, triggering and foam-filling on crashworthiness behaviour of a cylindrical composite crash box, IJAME, vol. 16, no. 2, pp. 6568–6587, 2019. DOI: 10.15282/ijame.16.2.2019.8.0495.
   Google Scholar
• J. Fang, G. Sun, N. Qiu, N. H. Kim, and Q. Li, On design optimization for structural crashworthiness and its state of the art, Struct. Multidisc. Optim., vol. 55, no. 3, pp. 1091–1119, 2017. DOI: 10.1007/s00158-016-1579-y.
   Web of Science ®Google Scholar
• L. J. Gibson and M. F. Ashby, Cellular Solids: Structure and Properties, 2nd ed., Cambridge University Press, Cambridge, 1997.
   Google Scholar
• P. Xu, X. Xiao, S. Yao, and L. Kong, Study on effect of offset defect on mechanical property of honeycomb structures, Structures, vol. 34, pp. 275–285, 2021. DOI: 10.1016/j.istruc.2021.07.073.
   Web of Science ®Google Scholar
• Standardization Administration of the People's Republic of China. Test Method for Flatwise Compression Properties of Sandwich Construction or Cores: GB/T 1453 − 2005[S], China Standards Press, Beijing, 2005. (In Chinese).
   Google Scholar
• ASTM International, ASTM C365/C365M: Standard test method for flatwise compressive properties of sandwich cores, 2016c.
   Google Scholar
• T. Wierzbicki, Crushing analysis of metal honeycombs, Int. J. Impact Eng., vol. 1, no. 2, pp. 157–174, 1983. DOI: 10.1016/0734-743X(83)90004-0.
   Google Scholar
• S. Xie and H. Zhou, Analysis and optimisation of parameters influencing the out-of-plane energy absorption of an aluminium honeycomb, Thin-Walled Struct., vol. 89, pp. 169–177, 2015. DOI: 10.1016/j.tws.2014.12.024.
   Web of Science ®Google Scholar
• S. Xie and H. Zhou, Impact characteristics of a composite energy absorbing bearing structure for railway vehicles, Compos. B: Eng., vol. 67, pp. 455–463, 2014. DOI: 10.1016/j.compositesb.2014.08.019.
   Web of Science ®Google Scholar
• S. Yang, Y. Sun, and C. Qi, Performance assessment and optimal design of hybrid material bumper for pedestrian lower extremity protection, Int. J. Mech. Sci., vol. 165, p. 105210, 2020. DOI: 10.1016/j.ijmecsci.2019.105210.
   Web of Science ®Google Scholar
• M. Emadi, H. Beheshti, M. Heidari-Rarani, and F.H. Aboutalebi, Experimental study of collapse mode and crashworthiness response of tempered and annealed aluminum tubes under axial compression, J. Mech. Sci. Technol., vol. 33, no. 5, pp. 2067–2074, 2019. DOI: 10.1007/s12206-019-0410-2.
   Web of Science ®Google Scholar
• Z. Li, W. Ma, S. Yao, and P. Xu, Crashworthiness performance of corrugation-reinforced multicell tubular structures, Int. J. Mech. Sci., vol. 190, p. 106038, 2021. DOI: 10.1016/j.ijmecsci.2020.106038.
   Web of Science ®Google Scholar
• J. Xing, et al., Crashworthiness optimisation of a step-like bi-tubular energy absorber for subway vehicles, Int. J. Crashworthiness, vol. 25, no. 3, pp. 252–262, 2020. DOI: 10.1080/13588265.2019.1577522.
   Web of Science ®Google Scholar
• T. Wierzbicki and W. Abramowicz, On the crushing mechanics of thin-walled structures, 1983.
   Google Scholar
• S. Reid and T. Reddy, Static and dynamic crushing of tapered sheet metal tubes of rectangular cross-section, Int. J. Mech. Sci., vol. 28, no. 9, pp. 623–637, 1986. DOI: 10.1016/0020-7403(86)90077-9.
   Web of Science ®Google Scholar
• P. Xu, et al., Theoretical development and multi-objective optimisation of a double-tapered rectangular tube with diaphragms, Int. J. Crashworthiness, vol. 27, no. 1, pp. 206–220, 2022. DOI: 10.1080/13588265.2020.1785109.
   Web of Science ®Google Scholar
• W. Abramowicz and N. Jones, Dynamic axial crushing of circular tubes, Int. J. Impact Eng., vol. 2, no. 3, pp. 263–281, 1984. DOI: 10.1016/0734-743X(84)90010-1.
   Google Scholar
• W. Abramowicz and N. Jones, Dynamic axial crushing of square tubes, Int. J. Impact Eng., vol. 2, no. 2, pp. 179–208, 1984. DOI: 10.1016/0734-743X(84)90005-8.
   Google Scholar
• Technical Committee CEN/TC 256 Railway Applications, BS EN 15227-2008 Railway Applications: Crashworthiness Requirements for Railway Vehicle Bodies, British Standard Institution, London, 2008.
   Google Scholar
• W. Khan, B. Ullah, and Z. Ullah, The localized radial basis functions for parameterized level set based structural optimization, Eng. Anal. Bound. Elem., vol. 113, pp. 296–305, 2020. DOI: 10.1016/j.enganabound.2020.01.008.
   Web of Science ®Google Scholar
• T.-T. Wong, W.-S. Luk, and P.-A. Heng, Sampling with Hammersley and Halton points, J. Graph. Tools, vol. 2, no. 2, pp. 9–24, 1997. DOI: 10.1080/10867651.1997.10487471.
   Google Scholar
• D. Chen, L. Jing, and F. Yang, Optimal design of sandwich panels with layered-gradient aluminum foam cores under air-blast loading, Compos. B: Eng., vol. 166, pp. 169–186, 2019. DOI: 10.1016/j.compositesb.2018.11.125.
   Web of Science ®Google Scholar
• M. Hosseini, et al., Optimization of FX-70 refrigerant evaporative heat transfer and fluid flow characteristics inside the corrugated tubes using multi-objective genetic algorithm, Chin. J. Chem. Eng., vol. 28, no. 8, pp. 2142–2151, 2020. DOI: 10.1016/j.cjche.2020.05.036.
   Web of Science ®Google Scholar
• E. İ. Albak, Crashworthiness design for multi-cell circumferentially corrugated thin-walled tubes with sub-sections under multiple loading conditions, Thin-Walled Struct., vol. 164, p. 107886, 2021. DOI: 10.1016/j.tws.2021.107886.
   Web of Science ®Google Scholar