Abstract
Sandwich thin-walled tubes can significantly improve the overall energy absorption due to the coupling effect. In this paper, a novel sandwich corrugated square tube (SCST), where corrugated square tubes were placed between inner square tube and outer square tube, was proposed. The crashworthiness analysis and coupling effect of the SCSTs were studied using Abaqus/Explicit. Results show that the energy absorption of SCSTs increases with the increase in amplitude and number of corrugations. The highest increase in EA, SEA, CFE reached 77.74%, 77.68%, 113.99%, respectively, while the largest decrease in Fmax reached by 20.17% compared to the linear sum of the three standalone structures in the SCSTs. Finally, parameterization study of SCSTs was system carried out.
Similar content being viewed by others
References
Lu G, Yu T (2003) Energy absorption of structures and materials. Woodhead Publishing Ltd, Sawston
Alexander JM (1960) An approximate analysis of the collapse of thin cylindrical shells under axial loading. Q J Mech Appl Mech 13:10–15
Pugsley A (1960) The large-scale crumpling of thin cylindrical columns. Q J Mech Appl Mech 13:1–9
Al-Hassani STS, Johnson W, Lowe WT (1972) Characteristics of inversion tubes under axial loading. J Mech Eng Sci 14:370–381
Wierzbicki T, Abramowicz W (1983) On the crushing mechanics of thin-walled structures. J Appl Mech 50:727–734
Abramowicz W, Jones N (1984) Dynamic axial crushing of circular tubes. Int J Impact Eng 2:263–281
Guillow SR, Lu G, Grzebieta RH (2001) Quasi-static axial compression of thin-walled circular aluminium tubes. Int J Mech Sci 43:2103–2123
Fan Z, Lu G, Yu TX, Liu K (2013) Axial crushing of triangular tubes. Int J Appl Mech 5:1–21
Nia AA, Parsapour M (2014) Comparative analysis of energy absorption capacity of simple and multi-cell thin-walled tubes with triangular, square, hexagonal and octagonal sections. Thin-Walled Struct 74:155–165
Zhang X, Huh H (2010) Crushing analysis of polygonal columns and angle elements. Int J Impact Eng 37:441–451
Fan Z, Lu G, Liu K (2013) Quasi-static axial compression of thin-walled tubes with different cross-sectional shapes. Eng Struct 55:80–89
Deng X, Liu W, Lin Z (2018) Experimental and theoretical study on crashworthiness of star-shaped tubes under axial compression. Thin-Walled Struct 130:321–331
Eyvazian A, Habibi MK, Hamouda AM, Hedayati R (2014) Axial crushing behavior and energy absorption efficiency of corrugated tubes. Mater Des 54:1028–1038
Deng X, Liu W, Jin L (2018) On the crashworthiness analysis and design of a lateral corrugated tube with a sinusoidal cross-section. Int J Mech Sci 141:330–340
Hanssen AG, Langseth M, Hopperstad OS (2000) Static and dynamic crushing of square aluminium extrusions with aluminium foam filler. Int J Impact Eng 24:347–383
Hanssen AG, Hopperstad OS, Langseth M (2001) Design of aluminium foam-filled crash boxes of square and circular cross-sections. Int J Crashworthiness 6:177–188
Hanssen AG, Langseth M, Hopperstad OS (2001) Optimum design for energy absorption of square aluminium columns with aluminium foam filler. Int J Mech Sci 43:153–176
Song H-W, Fan Z-J, Yu G, Wang Q-C, Tobota A (2005) Partition energy absorption of axially crushed aluminum foam-filled hat sections. Int J Solids Struct 42:2575–2600
Sun G, Li G, Hou S, Zhou S, Li W, Li Q (2010) Crashworthiness design for functionally graded foam-filled thin-walled structures. Mater Sci Eng A 527:1911–1919
Li G, Zhang Z, Sun G, Xu F, Huang X (2014) Crushing analysis and multiobjective optimization for functionally graded foam-filled tubes under multiple load cases. Int J Mech Sci 89:439–452
Mohammadiha O, Ghariblu H (2016) Crush behavior optimization of multi-tubes filled by functionally graded foam. Thin-Walled Struct 98:627–639
Yin H, Wen G, Fang H, Qing Q, Kong X, Xiao J, Liu Z (2014) Multiobjective crashworthiness optimization design of functionally graded foam-filled tapered tube based on dynamic ensemble metamodel. Mater Des 55:747–757
Attia MS, Meguid SA, Nouraei H (2012) Nonlinear finite element analysis of the crush behaviour of functionally graded foam-filled columns. Finite Elem Anal Des 61:50–59
Fang J, Gao Y, Sun G, Zhang Y, Li Q (2014) Parametric analysis and multiobjective optimization for functionally graded foam-filled thin-wall tube under lateral impact. Comput Mater Sci 90:265–275
Zhang Y, Lu M, Sun G, Li G, Li Q (2015) On functionally graded composite structures for crashworthiness. Compos Struct 132:393–405
Zhu G, Li S, Sun G, Li G, Li Q (2016) On design of graded honeycomb filler and tubal wall thickness for multiple load cases. Thin-Walled Struct 109:377–389
Haghi Kashani M, Shahsavari Alavijeh H, Akbarshahi H, Shakeri M (2013) Bitubular square tubes with different arrangements under quasi-static axial compression loading. Mater Des 51:1095–1103
Sharifi S, Shakeri M, Fakhari HE, Bodaghi M (2015) Experimental investigation of bitubal circular energy absorbers under quasi-static axial load. Thin-Walled Struct 89:42–53
Vinayagar K, Senthil Kumar A (2017) Crashworthiness analysis of double section bi-tubular thin-walled structures. Thin-Walled Struct 112:184–193
Gan N, Yao S, Dong H, Xiong Y, Liu D, Pu D (2018) Energy absorption characteristics of multi-frusta configurations under axial impact loading. Thin-Walled Struct 122:147–157
Güden M, Kavi H (2006) Quasi-static axial compression behavior of constraint hexagonal and square-packed empty and aluminum foam-filled aluminum multi-tubes. Thin-Walled Struct 44:739–750
Wu S, Sun G, Wu X, Li G, Li Q (2017) Crashworthiness analysis and optimization of fourier varying section tubes. Int J Non-Linear Mech 92:41–58
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
Liu W, Lin Z, He J, Wang N, Deng X (2016) Crushing behavior and multi-objective optimization on the crashworthiness of sandwich structure with star-shaped tube in the center. Thin-Walled Struct 108:205–214
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
Deng X, Liu W (2019) Experimental and numerical investigation of a novel sandwich sinusoidal lateral corrugated tubular structure under axial compression. Int J Mech Sci 151:274–287
Zhang X, Zhang H (2013) Energy absorption of multi-cell stub columns under axial compression. Thin-Walled Struct 68:156–163
Zhang X, Zhang H (2015) Some problems on the axial crushing of multi-cells. Int J Mech Sci 103:30–39
Ofochebe SM, Ozoegwu CG, Enibe SO (2015) Performance evaluation of vehicle front structure in crash energy management using lumped mass spring system. Adv Model Simul Eng Sci 2:1–18
Nia AA, Chahardoli S (2016) Mechanical behavior of nested multi-tubular structures under quasi-static axial load. Thin-Walled Struct 106:376–389
Tang Z, Liu S, Zhang Z (2012) Energy absorption properties of non-convex multi-corner thin-walled columns. Thin-Walled Struct 51:112–120
Acknowledgements
This work is supported by National Natural Science Foundation of China (No. 52065059) and Guangxi Science and Technology Base and Talent Special Project (No. 2020AC19011).
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Additional information
Technical Editor: João Marciano Laredo dos Reis.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
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.
About this article
Cite this article
Deng, X., Liu, F., Cao, L. et al. Energy-absorption characteristics of sandwich corrugated square tubes under axial crushing. J Braz. Soc. Mech. Sci. Eng. 44, 458 (2022). https://doi.org/10.1007/s40430-022-03704-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s40430-022-03704-7