Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Structural and Multidisciplinary Optimization
Published in: Structural and Multidisciplinary Optimization 2/2020

07-03-2020 | Industrial Application Paper

Crashworthiness optimisation for the rectangular tubes with axisymmetric and uniform thicknesses under offset loading

Authors: Kai Xu, Ping Xu, Chengxing Yang, Tiantian Wang, Benhuai Li, Quanwei Che, Shuguang Yao, Qi Huang

Published in: Structural and Multidisciplinary Optimization | Issue 2/2020

Log in

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

search-config
loading …

Abstract

This study is aimed to compare and optimise the crashing performances of an axisymmetric rectangular tube (ART) and a uniform thickness tube (UTT) under offset loading. Both ART and UTT are strengthened with diaphragms. Numerical simulations for the initial UTT with diaphragms under offset loading were firstly performed based on the experimentally validated finite element model (FEM), which illustrated that deformation process varied from stable mode to bending-sliding mode with an increase offset distance of 0–60 mm. Then, design of experiment (DOE) method was employed to determine the design domains of UTT and ART under various offset distances. Based on the results of DOE, three deformation regions were identified and parametric studies showed that the thicknesses of tubes and diaphragms had significant effects on their crashing performances. Subsequently, the irregular design domains derived from the impact condition with offset distance of 45 mm were selected to search the optimal thickness configurations of both UTT and ART. Finally, the multi-objective optimisation (MOD) was conducted by using non-dominated sorting genetic algorithm (NAGA-II) to minimise the initial peak crushing force (IPCFd) and maximise the specific energy absorption (SEAd) under multiple offset loadings. The obtained Pareto fronts showed that ART generally achieved higher IPCFd and SEAd; however, ART outperformed UTT for both IPCFd and SEAd in certain design domains. The outcomes provide insights into the design and selection of thin-walled structures for engineering applications.
previous article Space mapping-assisted optimization of a thin-walled honeycomb structure for battery packaging
next article On three concepts in robust design optimization: absolute robustness, relative robustness, and less variance

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
Appendix
Available only for authorised users
Literature
Abbasi M, Reddy S, Ghafari-Nazari A, Fard M (2015) Multiobjective crashworthiness optimization of multi-cornered thin-walled sheet metal members. Thin-Walled Struct 89:31–41
Abramowicz W (2003) Thin-walled structures as impact energy absorbers. Thin-Walled Struct 41(23):91–107
Abramowicz W, Jones N (1986) Dynamic progressive buckling of circular and square tubes. Int J Impact Eng 4(4):243–270
Acar E, Guler MA, Gerçeker B, Cerit ME, Bayram B (2011) Multi-objective crashworthiness optimization of tapered thin-walled tubes with axisymmetric indentations. Thin-Walled Struct 49(1):94–105
Alavi Nia A, Parsapour M (2013) An investigation on the energy absorption characteristics of multi-cell square tubes. Thin-Walled Struct 68:26–34
Ali M, Ohioma E, Kraft F, Alam K (2015) Theoretical, numerical, and experimental study of dynamic axial crushing of thin walled pentagon and cross-shape tubes. Thin-Walled Struct 94:253–272
Azarakhsh S, Ghamarian A (2017) Collapse behavior of thin-walled conical tube clamped at both ends subjected to axial and oblique loads. Thin-Walled Struct 112:1–11
Baroutaji A, Gilchrist MD, Smyth D, Olabi AG (2015) Crush analysis and multi-objective optimization design for circular tube under quasi-static lateral loading. Thin-Walled Struct 86:121–131
Chen Y, Bai Z, Zhang L, Wang Y, Sun G, Cao L (2017) Crashworthiness analysis of octagonal multi-cell tube with functionally graded thickness under multiple loading angles. Thin-Walled Struct 110:133–139
Deng X, Liu W (2019) Multi-objective optimization of thin-walled sandwich tubes with lateral corrugated tubes in the middle for energy absorption. Thin-Walled Struct 137:303–317
Dong H, Gao G, Xie S, Li J (2015) Collision performance of bitubular tubes with diaphragms. J Cent South Univ 22(9):3657–3665
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
Fan Z, Wong B, Lu G (2013) Quasi-static axial compression of thin-walled tubes with different cross-sectional shapes. Eng Struct 55(4):80–89
Gao G, Dong H, Tian H (2014) Collision performance of square tubes with diaphragms. Thin-Walled Struct 80:167–177
Guillow SR, Lu G, Grzebieta RH (2001) Quasi-static axial compression of thin-walled circular aluminium tubes. Int J Mech Sci 43(9):2103–2123MATH
Han DC, Park SH (1999) Collapse behavior of square thin-walled columns subjected to oblique loads. Thin-Walled Struct 35(3):167–184
Hanssen AG, Langseth M, Hopperstad OS (1999) Static crushing of square aluminium extrusions with aluminium foam filler. Int J Mech Sci 41(8):967–993MATH
Li G, Xu F, Sun G, Li Q (2015) A comparative study on thin-walled structures with functionally graded thickness (FGT) and tapered tubes withstanding oblique impact loading. Int J Impact Eng 77:68–83
Li Z, Duan L, Chen T, Hu Z (2018a) Crashworthiness analysis and multi-objective design optimization of a novel lotus root filled tube (LFT). Struct Multidiscip Optim 57(2):865–875
Li J, Gao G, Guan W, Wang S, Yu Y (2018b) Experimental and numerical investigations on the energy absorption of shrink circular tube under quasi-static loading. Int J Mech Sci 137:284–294
Lu C, Lu ENL, BozdaÄ S, Aruk F, Toprak T, Mugan A (2011) Railroad passenger car collision analysis and modifications for improved crashworthiness. Int J Crashworthiness 16(3):319–329
Mamalis AG, Manolakos DE, Ioannidis MB, Kostazos PK, Hassiotis G (2001) Finite element simulation of the axial collapse of thin-wall square frusta. Int J Crashworthiness 6(2):155–164
Nagel GM, Thambiratnam DP (2004a) Dynamic simulation and energy absorption of tapered tubes under impact loading. Int J Crashworthiness 9(4):389–399
Nagel GM, Thambiratnam DP (2004b) A numerical study on the impact response and energy absorption of tapered thin-walled tubes 46(2): 201-216
Nia AA, Chahardoli S (2016) Mechanical behavior of nested multi-tubular structures under quasi-static axial load. Thin-Walled Struct 106:376–389
Peng Y, Wang S, Yao S, Xu P (2017) Crashworthiness analysis and optimization of a cutting-style energy absorbing structure for subway vehicles. Thin-Walled Struct 120:225–235
Pirmohammad S, Esmaeili-Marzdashti S (2019) Multi-objective crashworthiness optimization of square and octagonal bitubal structures including different hole shapes. Thin-Walled Struct 139:126–138
Qiu N, Gao Y, Fang J, Feng Z, Sun G, Li Q (2015) Crashworthiness analysis and design of multi-cell hexagonal columns under multiple loading cases. Finite Elem Anal Des 104:89–101
Reyes A, Langseth M, Hopperstad OS (2002) Crashworthiness of aluminum extrusions subjected to oblique loading: experiments and numerical analyses. Int J Mech Sci 44(9):1965–1984
Reyes A, Langseth M, Hopperstad OS (2003) Square aluminum tubes subjected to oblique loading. Int J Impact Eng 28(10):1077–1106
Reyes A, Hopperstad OS, Langseth M (2004) Aluminum foam-filled extrusions subjected to oblique loading: experimental and numerical study. Int J Solids Struct 41(5):1645–1675
Santosa SP, Wierzbicki T, Hanssen AG, Langseth M (2000) Experimental and numerical studies of foam-filled sections
Song J (2013) Numerical simulation on windowed tubes subjected to oblique impact loading and a new method for the design of obliquely loaded tubes. Int J Impact Eng 54:192–205
Song X, Sun G, Li G, Gao W, Li Q (2013) Crashworthiness optimization of foam-filled tapered thin-walled structure using multiple surrogate models. Struct Multidiscip Optim 47(2):221–231MathSciNetMATH
Suchao X, Ning W, Weilin Y, Haihong L (2018) Energy absorption performance of thin-walled metal plate due to upheaval deformation based on experiments and numerical simulation. Thin-Walled Struct
Sun G, Xu F, Li G, Li Q (2014) Crashing analysis and multiobjective optimization for thin-walled structures with functionally graded thickness. Int J Impact Eng 64:62–74
Sun G, Pang T, Fang J, Li G, Li Q (2017a) Parameterization of criss-cross configurations for multiobjective crashworthiness optimization. Int J Mech Sci 124-125:145–157
Sun G, Pang T, Xu C, Zheng G, Song J (2017b) Energy absorption mechanics for variable thickness thin-walled structures. Thin-Walled Struct 118:214–228
Tabacu S (2016) Analysis of circular tubes with rectangular multi-cell insert under oblique impact loads. Thin-Walled Struct 106:129–147
Tang Z, Liu S, Zhang Z (2012) Energy absorption properties of non-convex multi-corner thin-walled columns. Thin-Walled Struct 51:112–120
Taştan A, Acar E, Güler MA, Kılınçkaya Ü (2016) Optimum crashworthiness design of tapered thin-walled tubes with lateral circular cutouts. Thin-Walled Struct 107:543–553
Tran T (2017) Crushing and theoretical analysis of multi-cell thin-walled triangular tubes under lateral loading. Thin-Walled Struct 115:205–214
Tran T, Hou S, Han X, Tan W, Nguyen N (2014) Theoretical prediction and crashworthiness optimization of multi-cell triangular tubes. Thin-Walled Struct 82:183–195
Wang S, Peng Y, Wang T, Che Q, Xu P (2019) Collision performance and multi-objective robust optimization of a combined multi-cell thin-walled structure for high speed train. Thin-Walled Struct 135:341–355
Xie S, Li H, Yang W, Wang N (2018a) Crashworthiness optimisation of a composite energy-absorbing structure for railway vehicles. Struct Multidiscip Optim 57(4):1793–1807
Xie S, Li H, Yang C, Yao S (2018b) Crashworthiness optimisation of a composite energy-absorbing structure for subway vehicles based on hybrid particle swarm optimisation. Struct Multidiscip Optim
Xie S, Yang W, Xu P (2018c) Simulation analysis of a multiple-vehicle, high-speed train collision using a simplified model. Shock Vib 2018:1–11
Xing J, Xu P, Yao S, Zhao H, Huang Q, Xu K, Li B (2019) Crashworthiness optimisation of a step-like bi-tubular energy absorber for subway vehicles Int J Crashworthiness: 1-11
Xu F (2015) Enhancing material efficiency of energy absorbers through graded thickness structures. Thin-Walled Struct 97:250–265
Xu P, Yang C, Peng Y, Yao S, Xing J, Li B (2016a) Cut-out grooves optimization to improve crashworthiness of a gradual energy-absorbing structure for subway vehicles. Mater Des 103:132–143
Xu P, Yang C, Peng Y, Yao S, Zhang D, Li B (2016b) Crash performance and multi-objective optimization of a gradual energy-absorbing structure for subway vehicles. Int J Mech Sci 107:1–12
Xu P, Xing J, Yao S, Yang C, Chen K, Li B (2017) Energy distribution analysis and multi-objective optimization of a gradual energy-absorbing structure for subway vehicles. Thin-Walled Struct 115:255–263
Xu P, Xu K, Yao S, Yang C, Huang Q, Zhao H, Xing J (2019a) Parameter study and multi-objective optimisation of an axisymmetric rectangular tube with diaphragms for subways. Thin-Walled Struct 136:186–199
Xu P, Zhao H, Yao S, Che Q, Xing J, Huang Q, Xu K (2019b) Multi-objective optimisation of a honeycomb-filled composite energy absorber for subway vehicles. Int J Crashworthiness: 1-9
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
Yang W, Xie S, Li H, Chen Z (2019) Design and injury analysis of the seated occupant protection posture in train collision. Saf Sci
Yao S, Xiao X, Ping X, Qu Q, Che Q (2018) The impact performance of honeycomb-filled structures under eccentric loading for subway vehicles. Thin-Walled Struct 123:360–370
Yao S, Li Z, Ma W, Xu P (2019) Crashworthiness analysis of a straight-tapered shrink tube. Int J Mech Sci 157-158:512–527
Ying L, Dai M, Zhang S, Ma H, Hu P (2017) Multiobjective crashworthiness optimization of thin-walled structures with functionally graded strength under oblique impact loading. Thin-Walled Struct 117:165–177
Zhang X, Zhang H (2016) Crush resistance of square tubes with various thickness configurations. Int J Mech Sci 107:58–68
Zhang X, Cheng G, You Z, Zhang H (2007) Energy absorption of axially compressed thin-walled square tubes with patterns. Steel Construction 45(9):737–746
Zhang X, Wen Z, Zhang H (2014) Axial crushing and optimal design of square tubes with graded thickness. Thin-Walled Struct 84:263–274
Zhang X, Zhang H, Wen Z (2015) Axial crushing of tapered circular tubes with graded thickness. Int J Mech Sci 92:12–23
Zhang L, Bai Z, Bai F (2018) Crashworthiness design for bio-inspired multi-cell tubes with quadrilateral, hexagonal and octagonal sections. Thin-Walled Struct 122:42–51
Zhuo L, Duan L, Tao C, Hu Z (2017) Crashworthiness analysis and multi-objective design optimization of a novel lotus root filled tube (LFT). Structural & Multidisciplinary Optimization(2): 1-11
Metadata
Title
Crashworthiness optimisation for the rectangular tubes with axisymmetric and uniform thicknesses under offset loading
Authors
Kai Xu
Ping Xu
Chengxing Yang
Tiantian Wang
Benhuai Li
Quanwei Che
Shuguang Yao
Qi Huang
Publication date
07-03-2020
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 2/2020
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-020-02535-1

Other articles of this Issue 2/2020

Structural and Multidisciplinary Optimization 2/2020 Go to the issue

Research Paper

Benchmarking of monolithic MDO formulations and derivative computation techniques using OpenMDAO

Research Paper

An optimal pointwise weighted ensemble of surrogates based on minimization of local mean square error

Industrial Application Paper

Space mapping-assisted optimization of a thin-walled honeycomb structure for battery packaging

Research Paper

Surrogate model-based reliability analysis for structural systems with correlated distribution parameters

Research Paper

Size-dependent microstructure design for maximal fundamental frequencies of structures

Research Paper

Accelerating the convergence of steady adjoint equations by dynamic mode decomposition

Premium Partners

    Image Credits