Top

Structural and Multidisciplinary Optimization

Published in:

13-02-2020 | Industrial Application Paper

Crashworthiness analysis and multi-objective optimization of expanding circular tube energy absorbers with cylindrical anti-clamber under eccentric loading for subway vehicles

Authors: Weiyuan Guan, Guangjun Gao, Yao Yu, Tianyu Zhuo

Published in: Structural and Multidisciplinary Optimization | Issue 4/2020

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

This paper presents an investigation of the crashworthiness of expanding circular tube energy absorbers with a cylindrical anti-clamber under eccentric loading for subway vehicles. A finite-element model of energy absorbers is created and validated by two quasi-static experiments, and the strain rate sensitivity is evaluated using standard coefficients of the Cowper-Symonds constitutive model. A parametric study is performed using the validated finite-element models. It is found that the eccentric collision of two energy absorbers has a significant effect on their crashworthiness and leads to a decrease in the specific energy absorption (SEA) and an increase in the peak crushing force (PCF). The structural parameters of the energy absorber, including the wall thickness t, conical angle α, and punch radius r_p, have a significant effect on its crashworthiness under different eccentric distances. Sobol sensitivity analysis is employed to analyze the effects of the design parameters (t, α, and r_p) on the objective responses (EA and PCF). The results show that the design variables t and α have a greater effect on the sensitivity of the EA and PCF functions for the eccentric distance of h = 0 and 40 mm. The interaction between punch angle α and punch radius r_p has significant effect on EA. To improve the crashworthiness of the expanding circular tubes, a multi-objective optimization is applied to achieve the maximum EA and minimum PCF values, and weight factors are introduced to investigate the crashworthiness optimization under single-eccentric loading and multiple-eccentric loading. The optimization solutions of the expanding circular tubes under different single-eccentric loadings have considerable implications. For multiple-eccentric loading, the results show that the crashworthiness of the expanding circular tube energy absorber can be better balanced.

previous article Identification of elastic properties utilizing non-destructive vibrational evaluation methods with emphasis on definition of objective functions: a review

next article Coiling and deploying dynamic optimization of a C-cross section thin-walled composite deployable boom

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Available only for authorised users

Abedi MM, Niknejad A, Liaghat GH, Nejad MZ (2012) Theoretical and experimental study on empty and foam-filled columns with square and rectangular cross section under axial compression. Int J Mech Sci 65(1):134–146CrossRef

Almeida BPP, Alves ML, Rosa PAR, Brito AG, Martins PAF (2006) Expansion and reduction of thin-walled tubes using a die: Experimental and theoretical investigation. Int J Mach Tools Manuf 46(12–13):1643–1652CrossRef

Choi WM, Kim JS, Jung HS, Kwon TS (2011) Study on rupture of tube type crash energy absorber using finite element method. World Acad Sci Eng Technol 76:595–607

Choi WM, Kim JS, Jung HS, Kwon TS (2012) Influence of impact velocity on energy absorption characteristics and friction coefficient of expansion tube. Int J Crashworthiness 17(6):1–9CrossRef

Daxner T, Rammerstorfer FG, Fischer FD (2005) Instability phenomena during the conical expansion of circular cylindrical shells. Comput Method Appl Mech 194(21–24):2591–2603MATHCrossRef

Djamaluddin F, Abdullah S, Ariffin AK, Nopiah ZM (2016) Finite element analysis and crashworthiness optimization of foam-filled double circular under oblique loading. Lat Am J Solids Stru 13(11):2176–2189CrossRef

Gao Q, Wang LM, Wang YL, Wang CZ (2016) Crushing analysis and multiobjective crashworthiness optimization of foam-filled ellipse tubes under oblique impact loading. Thin-Walled Struct 100:105–112CrossRef

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

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

Guan WY, Gao GJ, 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 123:395–408CrossRef

Hallquist JO (2007) LS-DYNA keyword user’s manual. Livermore Software Technology Corporation. 970:299–800.

Huang XD, Lu GX, Yu TX (2002) Energy absorption in splitting square metal tubes. Thin-Walled Struct 40(2):153–165CrossRef

Jiang L, Shi YL, Cui YL (2002) Effect of low strain rate on strength of Q235 & 20MnSi steel. Heat Treat Met-UK 27(7):9–12

Kamran M, Xue P, Ahmed N, Zahran MS, Hanif AAG (2017) Axial crushing of uni-sectional bi-tubular inner tubes with multiple outer cross-sections. Lat Am J Solids Stru 14(12):2198–2220CrossRef

Karrech A, Seibi A (2010) Analytical model for the expansion of tubes under tension. J Mater Process Technol 210(2):356–362CrossRef

Kwang HA, Jin SK, Hoon H (2008) Energy absorption of expansion tube considering local buckling characteristics. Int J Mod Phys B 22(31-32):5993–5999

Li J, Gao GJ, Guan WY, Wang S, Yu Y (2018) Experimental and numerical investigations on the energy absorption of shrink circular tube under quasi-static loading. Int J Mech Sci 137:284–294CrossRef

Liu Y, Qiu XM (2016) A theoretical study of the expansion metal tubes. Int J Mech Sci 114:157–165CrossRef

Liu B, Villavicencio R, Soares CG (2013) Experimental and numerical plastic response and failure of pre-notched transversely impacted beams. Int J Mech Sci 77:314–332CrossRef

Lu GX, Yu TX (2003) Energy absorption of structures and materials. Woodhead Publishing Limited, CambridgeCrossRef

Lučanin V, Tanasković J, Milković D, Golubović S (2007) Experimental research of the tube absorbers of kinetic energy during collision. FME Trans 35(4):201–204

Luo M, Yang J, Liu H, Liu H, Lu GX, Yu JL (2019) Energy absorption of expansion tubes using a conical-cylindrical die: Theoretical model. Int J Mech Sci 157:207–220

Mohammadiha O, Ghariblu H (2016) Crush response of variable thickness distribution inversion tubes under oblique loading. Thin-Walled Struct 109:159–173CrossRef

Moreno C, Beaumont R, Hughes DJ, Williams T, Dashwood R (2017) Quasi-static and dynamic testing of splitting, expansion and expansion-splitting hybrid tubes under oblique loading. Int J Impact Eng 100:117–130CrossRef

Morquio A, Riera JD (2004) Size and strain rate effects in steel structures. Eng Struct 26(5):669–679CrossRef

Niknejad A, Moeinifard M (2012) Theoretical and experimental studies of the external inversion process in the circular metal tubes. Mater Des 40:324–330CrossRef

Qiu N, Gao Y, Fang J, Feng ZX, Sun GY, Li Q (2015) Crashworthiness analysis and design of multi-cell hexagonal columns under multiple loading cases. Finite Elem Anal Des 104:89–101CrossRef

Shakeri M, Salehghaffari S, Mirzaeifar R (2007) Expansion of circular tubes by rigid tubes as impact energy absorbers: experimental and theoretical investigation. Int J Crashworthiness 12(5):493–501CrossRef

Sobol IM (2001) Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math Comput Simul 55(1-3):271–280MathSciNetMATHCrossRef

Taghipoor H, Damghani Nouri M (n.d.) Axial crushing and transverse bending responses of sandwich structures with lattice core. J Sandw Struct Mater 1099636218761321

Taghipoor H, Damghani Nouri M (2018a) Experimental and numerical investigation of lattice core sandwich beams under low-velocity bending impact. J Sandw Struct Mater 2018:1099636218761315

Taghipoor H, Damghani Nouri M (2018b) Experimental and numerical study on energy absorption of lattice-core sandwich beam. Steel Compos Struct 27:135–147

Tran TN, Hou SJ, Han X (2014) Theoretical prediction and crashworthiness optimization of multi-cell triangular tubes. Thin-Walled Struct 2014(82):183–195CrossRef

Wang GG, Shan S (2007) Review of metamodeling techniques in support of engineering design optimization. J Mech Des 129(4):370–380CrossRef

Xie SC, Liang XF, Zhou H, Li J (2016) Crashworthiness optimisation of the front-end structure of the lead car of a high-speed train. Struct Multidiscip O 53(2):339–347CrossRef

Xie SC, Li HH, Yang CX, Yao SG (2018a) Crashworthiness optimisation of a composite energy-absorbing structure for subway vehicles based on hybrid particle swarm optimisation. Struct Multidiscip O 58(5):2291–2308CrossRef

Xie SC, Li HH, Yang WL, Wang N (2018b) Crashworthiness optimisation of a composite energy-absorbing structure for railway vehicles. Struct Multidiscip O 57(4):1793–1807CrossRef

Yan JL, Yao SG, Xu P, Peng Y, Shao H (2016) Theoretical prediction and numerical studies of expanding circular tubes as energy absorbers. Int J Mech Sci 105:206–214CrossRef

Yang JL, Luo M, Hua YL, Lu GX (2010) Energy absorption of expansion tubes using a conical–cylindrical die: experiments and numerical simulation. Int J Mech Sci 52(5):716–725CrossRef

Yao SG, Xiao XL, Xu P, Qu QY, Che QW (2018) The impact performance of honeycomb-filled structures under eccentric loading for subway vehicles. Thin-Walled Struct 123:360–370CrossRef

Ying L, Dai MH, Zhang SZ, Ma HL, Hu P (2017) Multiobjective crashworthiness optimization of thin-walled structures with functionally graded strength under oblique impact loading. Thin-Walled Struct 117:165–177CrossRef

Title: Crashworthiness analysis and multi-objective optimization of expanding circular tube energy absorbers with cylindrical anti-clamber under eccentric loading for subway vehicles
Authors: Weiyuan Guan
Guangjun Gao
Yao Yu
Tianyu Zhuo
Publication date: 13-02-2020
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 4/2020
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-019-02427-z

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 4/2020

A density-and-strain-based K-clustering approach to microstructural topology optimization

Topology optimization of piezoelectric curved shell structures with active control for reducing random vibration

Correction to: Layout optimization of continuum structures embedded with movable components and holes simultaneously

Industrial issues and solutions to statistical model improvement: a case study of an automobile steering column

A regression-based approach for estimating preliminary dimensioning of reinforced concrete cantilever retaining walls

Correction to: Simple, accurate surrogate models of the elastic response of three-dimensional open truss micro-architectures with applications to multiscale topology design

Premium Partners