Study on energy absorption characteristics of thin-walled tubes with negative Gaussian curvature

MA Zihong; ZHANG Huile; SUN Zeyu; CHEN Huimin; YUE Xiaoli

doi:10.11883/bzycj-2022-0146

Volume 42 Issue 11

Nov. 2022

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2022 > 42(11): 113101

MA Zihong, ZHANG Huile, SUN Zeyu, CHEN Huimin, YUE Xiaoli. Study on energy absorption characteristics of thin-walled tubes with negative Gaussian curvature[J]. Explosion And Shock Waves, 2022, 42(11): 113101. doi: 10.11883/bzycj-2022-0146

Citation:

MA Zihong, ZHANG Huile, SUN Zeyu, CHEN Huimin, YUE Xiaoli. Study on energy absorption characteristics of thin-walled tubes with negative Gaussian curvature[J]. Explosion And Shock Waves, 2022, 42(11): 113101. doi: 10.11883/bzycj-2022-0146

Citation:

PDF( 3894 KB)

Study on energy absorption characteristics of thin-walled tubes with negative Gaussian curvature

doi: 10.11883/bzycj-2022-0146

MA Zihong^1
,,
ZHANG Huile^{2, 3},
SUN Zeyu²,
CHEN Huimin¹,
YUE Xiaoli^{1
,
,}

1.
School of Mechanical Engineering, Donghua University, Shanghai 201620, China
2.
Shanghai Key Laboratory of lightweight structural composites, Donghua University, Shanghai 201620, China
3.
Yangtze Delta Research Institute, University of Electronic Science and Technology of China, Huzhou 313000, Zhejiang, China

Received Date: 2022-04-07
Rev Recd Date: 2022-06-17

Available Online: 2022-07-07

Publish Date: 2022-11-18

Abstract

Abstract

In order to design a lightweight thin-walled structure with high specific energy absorption and high stiffness, a new type of circular cross-section thin-walled tube with negative Gaussian curvature (negative Gaussian curvature surface circular tube, NGC-C) is proposed and studied in this paper. The finite element analysis method verified by previous experimental data is used to simulate the axial dynamic impact, and various performance indexes such as specific energy absorption and effective crushing length are extracted. The comprehensive performance of the thin wall energy absorption structure with zero Gaussian curvature and positive Gaussian curvature is compared with the complex proportional assessment method (complex proportion assessment, COPRAS). The Latin hypercube sampling method is used to extract 20 sample points from the design space and obtain the corresponding performance response values of each sample point, and the polynomial fitting method is used to establish the proxy model. Based on the agent model, the multi-objective optimization design is carried out by using the improved non dominated sorting genetic algorithm (non-dominated sorting genetic algorithm, NSGA-Ⅱ). The results show that the comprehensive performance of the thin-walled circular tube with negative Gaussian curvature is better than that of all kinds of non-negative Gaussian curvature thin-walled energy absorbing structures, especially in that it has the minimum effective crushing length. The goodness of fit of the established proxy models is higher than 98%, which can better reflect the relationship between structural design variables and performance response. After optimization, the specific energy absorption of thin-walled circular tubes with negative Gaussian curvature is increased by 16.47 %, the effective crushing length is reduced by 12.4 %, and the mass is reduced by 20.18 %. To sum up: introducing the negative Gaussian curvature surface shape into the thin-walled tube configuration can reduce the structural quality and improve the crashworthiness of the thin-walled tube, provide a new idea for the design of the thin-walled energy absorbing structure, and can be applied to the energy absorbing scenarios such as the automobile energy absorbing box.
- thin-walled structure,
- negative Gaussian curvature surface,
- energy absorption,
- COPRAS,
- NSGA-Ⅱ

FullText(HTML)

References(22)

References

[1]	KARL F G. 关于曲面的一般研究[M]. 陈惠勇, 译. 哈尔滨: 哈尔滨工业大学出版社, 2016: 47–83.
[2]	郭佳民, 刘欣丹, 鲁青青, 等. 一种负高斯曲率索穹顶: CN104631620A[P]. 2015-05-20.
[3]	陈昕, 沈世钊. 负高斯曲率单层网壳的刚度及整体稳定性研究 [J]. 哈尔滨建筑工程学院学报, 1990(2): 80–89. CHEN X, SHEN S Z. Study on stiffness and global stability of single-layer reticulated shells with negative Gaussian curvature [J]. Journal of Harbin Institute of Architectural Engineering, 1990(2): 80–89.
[4]	李松晏, 郑志军. 高速列车吸能结构设计和耐撞性分析 [J]. 爆炸与冲击, 2015, 35(2): 164–170. DOI: 10.11883/1001-1455(2015)02-0164-0. LI S Y, ZHENG Z J. Energy absorbing structure design and crashworthiness analysis of high-speed trains [J]. Explosion and Shock Waves, 2015, 35(2): 164–170. DOI: 10.11883/1001-1455(2015)02-0164-0.
[5]	KARAGIOZOVA D, NURICK G N, KIM C Y, et al. Energy absorption of aluminium alloy circular and square tubes under an axial explosive load [J]. Thin-Walled Structures, 2004, 43(6): 956–982. DOI: 10.1016/j.tws.2004.11.002.
[6]	YAMASHITA M, HATTORI T, NISHIMURA N, et al. Quasi-static and dynamic axial crushing of various polygonal tubes [J]. Key Engineering Materials, 2007, 340: 1399–1404. DOI: 10.4028/www.scientific.net/kem.340-341.1399.
[7]	LI J, LIU J, LIU H, et al. A precise theoretical model for laterally crushed hexagonal tubes [J]. Thin-Walled Structures, 2020, 152: 106750. DOI: 10.1016/j.tws.2020.106750.
[8]	ALAVI NIA A. , PARSAPOUR M. Comparative analysis of energy absorption capacity of simple and multi-cell thin-walled tubes with triangular, square, hexagonal and octagonal sections [J]. Thin-Walled Structures, 2014, 74: 155–165. DOI: 10.1016/j.tws.2013.10.005.
[9]	PIRMOHAMMAD S, ESMAEILI-MARZDASHTI S. Multi-objective crashworthiness optimization of square and octagonal bitubal structures including different hole shapes [J]. Thin-Walled Structures, 2019, 139: 126–138. DOI: 10.1016/j.tws.2019.03.004.
[10]	MAMALIS A, MANOLAKOS D, IOANNIDIS M, et al. Finite element simulation of the axial collapse of metallic thin-walled tubes with octagonal cross-section [J]. Thin-Walled Structures, 2003, 41(10): 891–900. DOI: 10.1016/s0263-8231(03)00046-6.
[11]	MAMALIS A G, MANOLAKOS, D E BALDOUKAS A K, et al. Energy dissipation and associated failure modes when axially loading polygonal thin-walled cylinders [J]. Thin-Walled Structures, 1991, 12(1): 17–34. DOI: 10.1016/0263-8231(91)90024-d.
[12]	AL GALIB D, LIMAM A. Experimental and numerical investigation of static and dynamic axial crushing of circular aluminum tubes [J]. Thin-Walled Structures, 2004, 42(8): 1103–1137. DOI: 10.1016/j.tws.2004.03.001.
[13]	路国运, 段晨灏, 雷建平, 等. 金属圆柱壳受大质量低速冲击的屈曲变形 [J]. 爆炸与冲击, 2015, 35(2): 171–176. DOI: 10.11883/1001-1455(2015)02-0171-06. LU G Y, DUAN C H, LEI J P, et al. Dynamic buckling of the cylindrical shell impacted by large mass with low velocity [J]. Explosion and Shock Waves, 2015, 35(2): 171–176. DOI: 10.11883/1001-1455(2015)02-0171-06.
[14]	张宗华, 刘书田. 多边形薄壁管动态轴向冲击的耐撞性研究[C]//2007中国汽车工程学会年会论文集.2007: 449–455.
[15]	GUILLOW S R, LU G, GRZEBIETA R H. Quasi-static axial compression of thin-walled circular aluminium tubes [J]. International Journal of Mechanical Sciences, 2001, 43(9): 2103–2123. DOI: 10.1016/S0020-7403(01)00031-5.
[16]	ZAREI H R, KRÖGER M. Multiobjective crashworthiness optimization of circular aluminum tubes [J]. Thin-Walled Structures, 2006, 44(3): 301–308. DOI: 10.1016/j.tws.2006.03.010.
[17]	HOU S J, HAN X, SUN G Y, et al. Multiobjective optimization for tapered circular tubes [J]. Thin-Walled Structures, 2011, 49(7): 855–863. DOI: 10.1016/j.tws.2011.02.010.
[18]	MARZBANRAD J, EBRAHIMI M R. Multi-objective optimization of aluminum hollow tubes for vehicle crash energy absorption using a genetic algorithm and neural networks [J]. Thin-Walled Structures, 2011, 49(12): 1605–1615. DOI: 10.1016/j.tws.2011.08.009.
[19]	PALANIVELU S, VAN PAEPEGEM W, DEGRIECK J, et al. Parametric study of crushing parameters and failure patterns of pultruded composite tubes using cohesive elements and seam, part I: central delamination and triggering modelling [J]. Polymer Testing, 2010, 29(6): 729–741. DOI: 10.1016/j.polymertesting.2010.05.
[20]	HA N S, PHAM T M, CHEN W S, et al. Crashworthiness analysis of bio-inspired fractal tree-like multi-cell circular tubes under axial crushing [J]. Thin-Walled Structures, 2021, 169: 108315. DOI: 10.1016/j.tws.2021.108315.
[21]	WIERZBICKI T. Crushing analysis of metal honeycombs [J]. International Journal of Impact Engineering, 1983, 1(2): 157–174. DOI: 10.1016/0734-743x(83)90004-0.
[22]	孔祥韶, 杨豹, 周沪, 等. 基于响应面法的纤维金属层合板抗弹性能优化设计 [J]. 爆炸与冲击, 2022, 42(4): 043301. DOI: 10.11883/bzycj-2021-0146. KONG X S, YANG B, ZHOU H, et al. Optimal design of ballistic performance of fiber-metal laminates based on the response surface method [J]. Explosion and Shock Waves, 2022, 42(4): 043301. DOI: 10.11883/bzycj-2021-0146.