Abstract
In order to reduce casualties and property losses in a collision accident, thin-walled structure has been extensively used as energy absorber in crashworthiness design of train. With the help of energy absorber, collision kinetic energy can be controllably dissipated by the plastic deformation of structures. A new kind of multi-cell thin-walled structure called as bitubular polygonal tubes with internal walls (BPTIW) was constructed. The crashworthiness characteristics of BPTIWs were investigated by LS-DYNA. It can be found that the BPTIW with 12 sides has the most excellent crashworthiness characteristics. Therefore, based on response surface method (RSM) and multiobjective particle optimization (MOPSO) algorithm, the BPTIW with 12 sides was selected to optimize the dimensions of cross-sectional configuration under different constraints of energy absorption (EA) and crushing peak force (CPF). The results show that the optimal designs of BPTIW12 under different constraints present excellent crashworthiness characteristics and can be used in the practical engineering.
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MARSOLEK J, REIMERDES H G. Energy absorption of metallic cylindrical shells with induced non-axisymmetric folding patterns [J]. International Journal of Impact Engineering, 2004, 30(8/9): 1209–1223.
XIE Su-chao, ZHOU Hui, LIANG Xi-feng, REN Xing. Contrastive analysis and crashworthiness optimization of two composite thin-walled structures [J]. Journal of Central South University, 2014, 21(11): 4386–4394.
DONG Hai-peng, GAO Guang-jun, XIE Su-chao, LI Jian. Collision performance of bitubular tubes with diaphragms [J]. Journal of Central South University, 2015, 22(9): 3657–3665.
ZHANG Xiong, CHENG Geng-dong, ZHANG Hui. Theoretical prediction and numerical simulation of multi-cell square thin-walled structures [J]. Thin-Walled Structures, 2006, 44(11): 1185–1191.
ALAVI NIA A, PARSAPOUR M. An investigation on the energy absorption characteristics of multi-cell square tubes [J]. Thin-Walled Structures, 2013, 68: 26–34.
NAJAFI A, RAIS-ROHANI M. Mechanics of axial plastic collapse in multi-cell, multi-corner crush tubes [J]. Thin-Walled Structures, 2011, 49: 1–12.
SHARIFI S, SHAKERI M, EBRAHIMI FAKHARI H, BODAGHI M. Experimental investigation of bitubal circular energy absorbers under quasi-static axial load [J]. Thin-Walled Structures, 2015, 89: 43–53.
QIU Na, GAO Yun-kai, FANG Jian-guang, FENG Zhao-xuan, SUN Guang-yong, LI Qing. Crashworthiness analysis and design of multi-cell hexagonal columns under multiple loading cases [J]. Finite Elements in Analysis and Design, 2015, 104: 89–101.
SANTOSA S P, WIERZBICKI T, HANSSEN A G, LANGSETH M. Experimental and numerical studies of foam-filled sections [J]. International Journal of Impact Engineering, 2000, 24(5): 509–534.
ZHANG Zong-hua, LIU Shu-tian, TANG Zhi-liang. Comparisons of honeycomb sandwich and foam-filled cylindrical columns [J]. Thin-Walled Structures, 2011, 49(9): 1071–1079.
HALLQUIST J O. LS-DYNA theory manual [M]. California: Livermore Software Technology Corporation, 2006.
LANGSETH M, HOPPERSTAD O S. Static and dynamic axial crushing of square thin-walled aluminium extrusions [J]. International Journal of Impact Engineering, 1996, 18(7/8): 949–968.
LIAO Xing-tao, LI Qing, YANG Xu-jing, LI Wei, ZHANG Wei-gang. A two-stage multi-objective optimization of vehicle crashworthiness under frontal impact [J]. International Journal of Crashworthiness, 2008, 13(3): 279–288.
YANG R J, WANG N, THO C H, BOBINEAU J P. Metamodeling development for vehicle frontal impact simulation [J]. Journal of Mechanical Design, 2005, 127(5): 1014–1020.
WANG G G, SHAN S. Review of metamodeling techniques in support of engineering design optimization [J]. Journal of Mechanical Design, 2007, 129(4): 370–380.
FANG H, RAIS-ROHANI M, LIU Z, HORSTEMEYER M F. A comparative study of metamodeling methods for multiobjective crashworthiness optimization [J]. Computers & Structures, 2005, 83(25/26): 2121–2136.
SONG Xue-guan, SUN Guang-yong, LI Guang-yao, GAO Wei-zhao, LI Qing. Crashworthiness optimization design of foam-filled tapered thin-walled structures using multiple surrogate models [J]. Structural and Multidisciplinary Optimization, 2013, 47(2): 221–231.
HOU Shu-juan, LI Qing, LONG Shu-yao, YANG Xu-jing, LI Wei. Crashworthiness design for foam filled thin-wall structures [J]. Materials & Design, 2009, 30(6): 2024–2032.
YIN Hai-feng, WEN Gui-lin, HOU Shu-juan, CHEN Kai. Crushing analysis and multiobjective crashworthiness optimization of honeycomb-filled single and bitubular polygonal tubes [J]. Materials & Design, 2011, 32(8/9): 4449–4460.
HOU Shu-juan, HAN Xu, SUN Guang-yong, LONG Shu-yao, LI Wei, YANG Xu-jing, LI Qing. Multiobjective optimization for tapered circular tubes [J]. Thin-Walled Structures, 2011, 49(7): 855–863.
HOU Shu-juan, LI Qing, LONG Shu-yao, YANG Xu-jing, WEI Li. Multiobjective optimization of multi-cell sections for the crashworthiness design [J]. International Journal of Impact Engineering, 2008, 35: 1355–1367.
LIAO Xing-tao, LI Qing, YANG Xu-jing, ZHANG Wei-gang, LI Wei. Multiobjective optimization for crash safety design of vehicles using stepwise regression model [J]. Structural and Multidisciplinary Optimization, 2008, 35(6): 561–569.
LIU D S, TAN K C, GOH C K, HO W K. A multiobjective memetic algorithm based on particle swarm optimization [J]. IEEE Transactions on Syetems Man and Cybernetics Part B-Cybernetics, 2007, 37(1): 42–50.
COELLO C A C, PULIDO G T, LECHUGA M S. Handling multiple objectives with particle swarm optimization [J]. IEEE Transactions on Evolutionary Computation, 2004, 8(3): 256–279.
YIN Han-feng, WEN Gui-lin, WU Xin, QING Qi-xiang, HOU Shu-juan. Crashworthiness design of functionally graded foam-filled multi-cell thin-walled structures [J]. Thin-Walled Structures, 2014, 85: 142–155.
SUN Guang-yong, LI Gguang-yao, GONG Zhi-hui, HE Guan-qiang, LI Qing. Radial basis functional model for multiobjective sheet metal forming optimization [J]. Engineering Optimization, 2011, 43: 1351–1366.
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Foundation item: Project(CX2016B047) supported by Hunan Provincial Innovation Foundation For Postgraduate, China; Projects(U1334208, 51405516, 51275532) supported by the National Natural Science Foundation of China; Project(2016YFB1200403) supported by the National Key Research and Development Proguam of China
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Li, J., Gao, Gj., Zou, X. et al. Crushing analysis and multiobjective crashworthiness optimization of bitubular polygonal tubes with internal walls. J. Cent. South Univ. 23, 3040–3050 (2016). https://doi.org/10.1007/s11771-016-3367-7
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DOI: https://doi.org/10.1007/s11771-016-3367-7