Multiobjective crashworthiness optimization design of foam-filled sandwich wall multi-cell structures
Foam-filled tubes have gained more and more attention due to their excellent energy absorption capacity. According to the study of luffa structure, a kind of foam-filled sandwich wall multi-cell structures similar to the luffa cross-section was raised. Based on the nonlinear finite element code LS-DYNA, the axial crushing finite element model of the foam-filled sandwich wall multi-cell structures was established. Based on the polynomial surrogate model, the structures with different size were optimized by adopting multiobjective particle swarm optimization algorithm. Give the opinions on the choice of different structures according to the result of optimization, which makes the selected structure have the best energy absorption characteristics under the peak force constraint. The new type structure raised by this paper has a good application prospect in automotive, aerospace and other fields.
1．State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body，Hunan University，Changsha，410082，China；
2．The MOE Key Laboratory of Advanced Design and Simulation Techniques for Special Equipment，Hunan University，Changsha，410082，China；
Abstract：Foam-filled tubes have gained more and more attention due to their excellent energy absorption capacity. According to the study of luffa structure, a kind of foam-filled sandwich wall multi-cell structures similar to the luffa cross-section was raised. Based on the nonlinear finite element code LS-DYNA, the axial crushing finite element model of the foam-filled sandwich wall multi-cell structures was established. Based on the polynomial surrogate model, the structures with different size were optimized by adopting multiobjective particle swarm optimization algorithm. Give the opinions on the choice of different structures according to the result of optimization, which makes the selected structure have the best energy absorption characteristics under the peak force constraint. The new type structure raised by this paper has a good application prospect in automotive, aerospace and other fields.
[1] Ahmad Z, Thambiratnam DP. Application of foam-filled conical tubes in enhancing the crashworthiness performance of vehicle protective structures. Int J Crashworthines 2009; 14(4): 349–363.
[2] Seitzberger M, Rammerstorfer FG, Degiseher HP, et al. Crushing of axially compressed steel tubes filled with aluminium foam. Acta Mech 1997; 125(1–4): 93–105.
[3] Yin HF, Wen GL, Hou SJ, et al. Multiobjective crashworthiness optimization of functionally lateral graded foam-filled tubes. Materials and Design 2013; 44: 414–428.
[4] Zarei HR, Kröger M. Optimization of the foam-filled aluminum tubes for crush box application. Thin Wall Structure 2008; 46(2): 214–221.
[5] Zarei HR, Kröger M. Crashworthiness optimization of empty and filled aluminum crash boxes. Int J Crashworthiness 2007; 12(3): 255–264.
[6] Hou SJ, Li Q, Long SY, et al. Crashworthiness design for foam filled thin-wall structures. Mater Des 2009; 30(6): 2024–2032.
[7] Hou SJ, Han X, Sun GY, et al. Multiobjective optimization for tapered circular tubes. Thin Wall Struct 2011; 49(7): 855–863.
[8] Bi J, Fang HB, Wang Q, et al. Modeling and optimization of foam-filled thin-walled columns for crashworthiness designs. Finite Elem Anal Des 2010; 46(9): 698–709.
[9] Zhang Y, Sun GY, Li GY, et al. Optimization of foam-filled bitubal structures for crashworthiness criteria. Mater Des 2012; 38: 99–109.
[10] Shen JH, Xie YM, Huang XD, et al. Mechanical properties of luffa sponge. Journal of the Mechanical Behavior of Biomedical Materials 2012; 15: 141–152.
[11] Santosa S, Wierzbicki T. Crash behavior of box columns filled with aluminium honeycomb or foam. Comput Struct 1998; 68(4): 343–367.
[12] Santosa SP, Wierzbicki T, Hanssen AG,et al. Experiment and numerical studies of foam-filled sections. Int J Impact Eng 2000; 24(5): 509–534.
[13] Deshpande VS, Fleck NA. Isotropic constitutive models for metallic foams. J Mech Phys Solids 2000; 48(6–7): 1253–1283.
[14] Hou SJ, Li Q, Long SY, et al. Multiobjective optimization of multi-cell sections for the crashworthiness design. International Journal of Impact Engineering 2007; 35(2008): 1355–1367.
[15] Liao XT, Li Q, Yang XJ, et al. Multiobjective optimization for crash safety design of vehicles using stepwise regression model. Structural and Multidisciplinary Optimization 2008; 35(6):561-569.
[16] Raquel C, Naval P. An effective use of crowding distance in multiobjective particle swarm optimization. In: Proceedings of the 2005 conference on Genetic and evolutionary computation, Washington(DC), USA, 2005. pp. 257-264.
[17] Liu DS, Tan CK, Goh CK. A multiobjective memetic algorithm based on particle swarm optimization. IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics 2007; 37(1): 42-50.
[18] 白金泽．LS-DYNA3D理论基础与实例分析[M]．
