Crashworthiness design of multi-cell tapered tubes using response surface methodology

Pirmohammad, Sadjad; Esmaeili-Marzdashti, Sobhan; Eyvazian, Arameh

doi:10.22061/jcarme.2018.2825.1292

Document Type : Research Paper

Authors

¹ Mechanical engineering department, Faculty of Engineering, University of Mohaghegh Ardabili

² Mechanical Engineering Department, Faculty of Engineering, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran.

³ Mechanical and Industrial Engineering Department, College of Engineering, Qatar University, P.O. Box 2713, Doha, Qatar

https://doi.org/10.22061/jcarme.2018.2825.1292

Abstract

In this article, crashworthiness performance and crushing behavior of tapered structures with four internal reinforcing plates under axial and oblique dynamic loadings have been investigated. These structures have a tapered form with five cross sections of square, hexagonal, octagonal, decagon and circular shape. In the first step, finite element simulations performed in LS-DYNA were validated by comparing with experimental data. The code generated in LS-DYNA was then used to investigate energy absorption behavior of the tapered structures. Response surface methodology and historical data design technique were employed to optimize the cross section perimeter (tapered angle) of the tapered structures by considering two conflicting crashworthiness criteria including EA (energy absorption) and PCF (peak crushing force). The optimization results showed that the optimal tapered angle enhanced by increasing the number of cross section sides (or number of corners). Then, the optimized tapered structures with different cross-sections were compared with each other using a ranking method called TOPSIS to introduce the most efficient energy absorber. The decagonal structure was finally found to be the best energy absorber.

Graphical Abstract

Keywords

20.1001.1.22287922.2019.9.1.5.3

Main Subjects

Plasticity

References

[1] A. Morris, C. Brace, S. Reed, H. Fagerlind, et al., “The development of a European fatal accident database”, Int. J of Crashworthiness, Vol. 15, No. 2, pp. 201-209, (2010).

[2] R. Welsha, A. Morris, A. Hassan, J. Charlton, “Crash characteristics and injury outcomes for older passenger car occupants”, Transportation Research Part F: Traffic Psychology and Behaviour, Vol. 9, No. 5, pp. 322-334, (2006).

[3] S. Reed, A. Morris, “Characteristics of fatal single-vehicle crashes in Europe”, Int J of Crashworthiness,Vol. 17, No. 6, pp. 655-664, (2012).

[4] J‌.M. Alexander, “An approximate analysis of the collapse of thin cylindrical shells under axial loading” , Quarterly J of Mech Applied Math, Vol. 13, No.1, pp.10–5‌, (1960).

[5] W. Abramowicz and N. Jones, “Dynamic progressive buckling of circular and square tubes”, Int J Impact En., Vol.4, No. 1, pp. 243–270, (1986).

[6] S.R. Guillow, G.X. Lu, R.H. Grzebieta, “Quasi-static axial compression of thin- walled circular aluminum tubes”, Int J Mech Sci, Vol. ‌43, No. 9, pp.2103–2123, (2001).

[7] A. Niknejad and M. Moeinifard, “Theoretical and experimental studies of the external inversion process in the circular metal tubes”, ‌Materials & Design, Vol. ‌40, No. 1, pp. 324-330, (2012).

[8] A.G. Mamalis, D.E. Manolakos, A.K. Baldoukas, “Energy dissipation and associated failure modes when axially loading polygonal thin-walled cylinders”, Thin-Walled Structures,Vol. 12, No. 1, pp. 17–34, (1991).

[9] W. Abramowicz, N. Jones, “Dynamic axial crushing of square tubes”, Int J Impact Eng, Vol. 2, No. 2, pp. 179–208, (1984).

[10] A.G. Hanssen, M. Langseth, O.S. Hopperstad, “Static and dynamic crushing of circular aluminium extrusions with aluminium foam filler”, Int J Impact Eng, Vol. 24, No. 5, pp. 475–507, (2000).

[11] H. Mozafari, S. Khatemi, H. Molatefi, “Finite element analysis of foam-filled honeycomb structures under impact loading and crashworthiness design”, Int J crashworthiness, Vol. 21, No. 2, pp. 148-160, (2016).

[12] H. ‌Mozafari, S. Khatami, H. Molatefi, “Out of plane crushing and local stiffness determination of proposed foam filled sandwich panel for Korean Tilting Train eXpress Numerical study”, Material and Design, Vol. 66, No. 2, pp. 400-411, (2015).

[13] M. Seitzberger, F.G. Rammerstorfer, R. Gradinger, “Experimental studies on the quasi-static axial crushing of steel columns filled with aluminum foam” Int J Solids Struc‌t, Vol.37, No. 30, pp. 4125–4147, (2000).

[14] L. Aktay, A. Toksoy, M. Guden, “Quasi-static axial crushing of extruded polystyrene foam-filled thin-walled aluminum tubes: Experimental and numerical analysis”, Mat and Des, Vol. 7, No. 5, pp. 556–565, (2006).

[15] A. Ghamarian, H.R. Zarei, M.T. Abadi, “Experimental and numerical crashworthi- ness investigation of empty and foam-filled end-capped tapered tubes”, Thin-‌Walled Struct, Vol. 49, No. 10, pp. 1312–9 (2011)

[16] W.G. Chen and T Wierzbicki, “Relative merits of single-cell multi-cell and foam- filled thin-walled structures in energy absorption”, Thin-Walled Struct, Vol. 39, No. 4, pp. 287–306, (2001).

[17] W. Abramowicz and N. Jones, “Dynamic axial crushing of square tubes”, Int J Impact Eng, Vol. 2, No. 2, pp. 179 – 208, (1984).

[18] W. Abramowicz‌ and N. Jones, “Dynamic progressive buckling of circular and square tubes.”, Int J Impact Eng,Vol.4, No. 4, pp. 243–70, (1986).

[19] M. Langseth, O.S. and Hopperstad, “Static and dynamic axial crushing of square thin- walled aluminium extrusions”, Int J Mech Sci, Vol. 18, No. 7-8, pp. 946 – 968, (1996).

[20] P. Hosseini-Tehrani and S Pirmohammad, “Collapse study of thin-walled polygonal section columns subjected to oblique loads”, Proc Inst Mech Eng: Part D: J Automobile Eng, Vol. 221, No. 7, pp. 801 – 810, (2007).

[21] A. Eyvazian, “Mathematical Model for Thin-walled Corrugated Tube under Axial Compression, MATEC Web of Conferences: International Conference on Mechanical Engineering and Electrical Systems (ICMES)”, 40:02010, 29 January 2016.

[22] A. Eyvazian, M. Habibi, A.M Hamouda, “Axial crushing behavior and energy absorption efficiency of corrugated tubes”, Mat and Des, Vol. 54, No. 1, pp. 1028 – 1038, (2014).

[23] A. Eyvazian, “Experimental study of corrugated tubes under lateral loading”, Proc Inst Mech Eng Part L: J of Mat: Des and App, Vol. 226, No. 2, (2012).

[24] H.S. Kim, “New extruded multi-cell aluminum profile for maximum crash energy absorption and weight efficiency”, Thin-Walled Struct, Vol. 40, No. 4, pp. 311 – 327, (2002).

[25] X. Zhang and G. Cheng, “A comparative study of energy absorption characteristics of foam-filled and multi-cell square columns”, Int J of Impact Eng, Vol. 34, No. 7-8, pp. 1739 – 1752, (2007).

[26] N. Qiu, Y. Gao , J. Fang, “Crashworthiness analysis and design of multi-cell hexagonal columns under multiple loading cases”, Finite Elem Anal Des, Vol. 104, No. 1, pp. 89 – 101, (2015).

[27] S. Pirmohammad and S. Esmaeili Marzdashti, “Crushing behavior of new designed multi-cell members subjected to axial and oblique quasi-static loads”, Thin-Walled Struct, Vol. 108, No. 11, pp. 291 – 304, (2016).

[28] S. Pirmohammad and S. Esmaeili Marzdashti, “Crashworthiness optimization of combined straight-tapered tubes using genetic algorithm and neural networks”, Thin-Walled Struct, Vol. 127, No. 1, pp. 318-332, (2018).

[29] Q. Chang, Y. Shu, D. Fangliang, “Crushing analysis and multiobjective crashworthiness optimization of tapered square tubes under oblique impact loading”. Thin-Walled Struct, Vol. 59, No. 10, pp. 103–119, (2012).

[30] P. Hosseini-Tehrani, S. Pirmohammad, M. Golmohammadi, “Study on the collapse of tapered tubes subjected to oblique loads”, Proc Inst Mech Eng: Part D. J Automobile Eng, Vol. 222, No. 11, pp. 2025-2039, (2008).

[31] Y. Hanfeng, W Guilin, F. Hongbing, “Multiobjective crashworthiness optimization design of functionally graded foam-filled tapered tube based on dynamic ensemble metamodel”, Mat and Des, Vol. 55, No. 1, pp. 747 – 757, (2014).

[32] Z. Ahmad, D.P. Thambiratnam, “Crushing response of foam-filled conical tubes under quasi-static axial loading”. Mater Des, Vol. 30, No. 7, pp. 2393–2403, (2009).

[33] Z. Ahmad, D.P. Thambiratnam, “Dynamic computer simulation and energy absorption of foam-filled conical tubes under axial impact loading”. Computers and Structures, Vol. 87, No. 3-4, pp. ‌186–197, (2009).

[34] Z. Ahmad, D.P. Thambiratnam, A.C. Tan, “Dynamic energy absorption characteristics of foam-filled conical tubes under oblique impact loading”, Int J Impact Eng, Vol. 37, No. 5, pp. 475–488, (2010).

[35] A. Ghamarian, H.R. Zarei, M. Abadi, “Experimental and numerical crashworthiness investigation of empty and foam-filled end-capped conical tubes”, Thin-Walled Struct, Vol. 49, No. 10, pp. 1312–1319, (2011).

[36] M. Langseth, O.S Hopperstad, “Static and dynamic axial crushing of square thin-walled aluminium extrusions”, Int J of Impact Eng, Vol. 18, No. 7-8, pp. 949-968, (1996).

[37] X. Zhang, H. Zhang, “Energy absorption of multi-cells tube columns under axial compression”, Thin-Walled Struct, Vol. 68, No. 1, pp. 156 – 163, (2013).

[38] A. Baroutaji, M.D. Gilchrist, D. Smyth, “Crush analysis and multi-objective optimization design for circular tube under quasi-static lateral loading”, Thin-Walled Struct, Vol. 86, No. 1, pp. 121 – 131, (2015).

[39] A. Baroutaji, E. Morris, A‌.G. Olabi, “Quasi-static response and multi-objective crashworthiness optimization of oblong tube under lateral loading”, Thin Walled Struct, Vol. 82, No. 1, pp. 262 – 277, (2014).

[40] S. Hou, “Crashworthiness design for foam filled thin-wall struct”, Mater Des, Vol. 30, No. 6, pp. 2024 – 2032, (2009).

[41] S. Saleh‌-ghaffari, M. Rais-Rohani, A. Najafi, “Analysis and optimiza- tion of externally stiffened crush tubes”, Thin Walled Struct, Vol. 49, No. 3, pp. 397 – 408, (2011).

[42] A. Khalkhali, “best compromising crashworthiness design of automotive S-rail using TOPSIS and modified NSGA-II”, Central South University, Vol. 22, No. 1, pp. 121 – 133, (2015).

[43] A. Malek and B. Nia, “Fundamentals of Design-Expert software”, 2nd EdditionTehran: pp. 93-110, (2009).

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Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Crashworthiness design of multi-cell tapered tubes using response surface methodology

References

References

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Volume 9, Issue 1 - Serial Number 17
September 2019
Pages 59-75

Crashworthiness design of multi-cell tapered tubes using response surface methodology

References

References

Send comment about this article

Volume 9, Issue 1 - Serial Number 17September 2019Pages 59-75

Volume 9, Issue 1 - Serial Number 17
September 2019
Pages 59-75