Abstract
To improve the crashworthiness and energy absorption of the thin-walled tube, micro-CT is used to observe the section of the feather shaft, we extract the “sawtooth” and “semicircle” structure to design five kinds of bionic thin-walled tubes. The simulation results of axial compression and three-point bending show that the bionic tubes have higher energy absorption efficiency than the traditional square tube. At the same time, quasi-static compression experiment is carried out on BFTZ4 bionic tube (the inner sides are “sawtooth”) with the best energy absorption in numerical simulation. The energy absorption of bionic tube is compared with that of traditional square tube, and its crushing behaviors is studied. It is found that the mean load and specific energy absorption of the bionic empty tube are 1.65 times and 1.35 times that of the square empty tube, respectively. The mean load and specific energy absorption of the bionic filled tube are 1.27 times and 1.24 times that of the square filled tube, respectively. This study provides theoretical and experimental basis for the bionic design of crashworthiness.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig6_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig7_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig8_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig9_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig10_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig11_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig12_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig13_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig14_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig15_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig16_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig17_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs12210-021-01045-6/MediaObjects/12210_2021_1045_Fig18_HTML.png)
Similar content being viewed by others
References
Abedi MM, Niknejad A (2012) Theoretical and experimental study on empty and foam-filled columns with square and rectangular cross section under axial compression[J]. Int J Mech Sci 65:134–146
Abramowicz W, Jones N (1984) Dynamic axial crushing of square tubes [J]. Int J Impact Eng 2:179–208
Alexander JM (1960) An approximate analysis of the collapse of thin cylindrical shells under axial loading, [J]. Q J Mech Appl Math 13:10–15
Altin M, Güler MA, Mert SK (2017) The effect of percent foam fill ratio on the energy absorption capacity of axially compressed thin-walled multi-cell square and circular tubes[J]. Int J Mech Sci 131:368–379
Baroutaji A, Sajjiab M (2017) On the crashworthiness performance of thin-walled energy absorbers: recent advances and future developments[J]. Thin-Walled Struct 118:137–163
Guillow SR, Lu G, Grzebieta RH (2001) Quasi-static axial compression of thin-walled circular aluminium tubes[J]. Int J Mech Sci 43:2103–2123
Ha N, Lu G, Shu D (2019) Mechanical properties and energy absorption characteristics of tropical fruit durian (Durio zibethinus) [J]. J Mech Behav Biomed Mater 104:103603
Hanssen AG, Langseth M, Hopperstad OS (2000) Static and dynamic crushing of square aluminium extrusions with aluminium foam filler[J]. Int J Impact Eng 24:347–383
Hong W, Fan H, **a Z, ** F, Zhou Q, Fang D (2014) Axial crushing behaviors of multi-cell tubes with triangular lattices [J]. Int J Impact Eng 63:106–117
Jafarian B, Rezvani MJ (2017) An experimental investigation on energy absorption of thin-walled bitubal structures by inversion and axial collapse[J]. Int J Mech Sci 126:270–280
James A, Colin C (1992) Constitutive modeling and simulation of energy absorbing polyurethane foam under impact loading[J]. Polym Eng Sci 32:1138–1146
Jones WA (1986) Dynamic progressive buckling of circular and square tubes[J]. Int J Impact Eng 4:243–270
Li W, An X, Zheng Q, Yang F, Fan H (2019) Hierarchical design, manufacture and crushing behaviors of CFRP tubular energy absorbers[J]. Thin-Walled Struct 140:416–425
Liu Q, Ou Z, Mo Z, Li Q, Qu D (2015) Experimental investigation into dynamic axial impact responses of double hat shaped CFRP tubes[J]. Compos B Eng 79:494–504
Nia AA, Hamedani JH (2010) Comparative analysis of energy absorption and deformations of thin walled tubes with various section geometries[J]. Thin-Walled Struct 48:946–954
Reddy TY, Wall RJ (1988) Axial compression of foam filled thin walled circular tubes[J]. Int J Impact Eng 7:151–166
Saharnaz M, Majid E, Amin M (2018) Investigating the energy absorption, SEA and crushing performance of holed and grooved thin-walled tubes under axial loading with different materials[J]. Thin-Walled Struct 131:646–653
Toksoy AK, Guden M (2010) Partial Al foam filling of commercial 1050H14 Al crash boxes: the effect of box column thickness and foam relative density on energy absorption[J]. Thin-Walled Struct 48:482–494
Trim MW, Horstemeyer MF, Rhee H (2011) The effects of water and microstructure on the mechanical properties of bighorn sheep (Ovis canadensis) horn keratin[J]. Acta Biomater 7:1228–1240
Wierzbicki T, Abramowicz W (1983) On the crushing mechanics of thin-walled structures [J]. Appl Mech 50:727–734
Wu S, Zheng G, Sun G, Liu Q, Li G, Li Q (2016) On design of multi-cell thin-wall structures for crashworthiness[J]. Int J Impact Eng 88:102–117
**ao Y, Yin H, Fang H (2016) Crashworthiness design of horsetail-bionic thin-walled structures under axial dynamic loading[J]. Int J Mech Mater Des 12:563–576
**e S, Yang W, Wang N, Li H (2017) Crashworthiness analysis of multi-cell square tubes under axial loads [J]. Int J Mech Sci 121:106–118
Xu F (2015) Enhancing material efficiency of energy absorbers through graded thickness structures[J]. Thin-Walled Struct 97:250–265
Yu X, Pan L, Chen J (2019) Experimental and numerical study on the energy absorption abilities of trabecular–honeycomb biomimetic structures inspired by beetle elytra[J]. J Mater Sci 54:2193–2204
Zarei HR, Kroger M (2008) Optimization of the foam-filled aluminum tubes for crush box application[J]. Thin-Walled Struct 46:214–221
Zou M, Xu S, Wei C (2016) A bionic method for the crashworthiness design of thin-walled structures inspired by bamboo[J]. Thin-Walled Struct 101:222–230
Zou M, Xu L, Zhou J, Song J (2019) Microstructure and compression resistance of bean goose (Anser fabalis) feather shaft[J]. Microsc Res Tech. https://doi.org/10.1002/jemt.23398
Acknowledgements
This work is supported by the National Natural Science Foundation (Nos. 52075217, 51775233), and Key Funding of Science and Technology Department of Jilin Province (No. 20200401144GX).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Liu, Y., Qi, Y., Xu, L. et al. Study on energy absorption behavior of bionic tube inspired by feather shaft of bean goose. Rend. Fis. Acc. Lincei 33, 363–374 (2022). https://doi.org/10.1007/s12210-021-01045-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12210-021-01045-6