Abstract
In order to obtain a hybrid tube with better energy absorption performance under both three-point bending and axial compression, multi-objective optimization for energy absorption of carbon fiber-reinforced plastics (CFRP)/aluminum (CFRP/AL) hybrid circular tubes was presented in this paper. Experiments and finite element model (FEM) of the hybrid circular tubes subjected to three-point bending and axial compression were performed, and the finite element models were validated. The effects of fiber filament winding angle (θ) and aluminum wall thickness (t) on energy absorption characteristic of the hybrid tube under three-point bending and axial compressive were discussed by FEM. The results show that θ and t have different effects on the specific energy absorption (SEA) of the hybrid tube under three-point bending and axial compression, respectively. A five-order polynomial response surface (PRS) and artificial neural network (ANN) were used to connect variables (θ and t) and the objective (SEA), respectively. It was found that the fitting accuracy of ANN was better. The non-dominated sorting genetic algorithm-II (NSGAII) was applied to obtain optimal results in the form of Pareto frontier solutions. The specific energy absorption of the optimized hybrid tube (θ = 24°, t = 1.45 mm) verified by simulation under three-point bending and axial compression is 1.11 kN/kg and 45.59 kN/kg, respectively. The hybrid tube exhibits better specific energy absorption under both loads.
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M. Ma, H. Yi, H. Lu et al., On the Lightweighting of Automobile, Eng. Sci., 2009, 11(9), p 20–27
C. Joseph and K. Benedy, Light Metals in Automotive Applications, Light metal age., 2000, 10(2), p 34–35
M.J. Alexander, An Approximate Analysis of the Collapse of Thin Cylindrical Shells under Axial Loading, Quart. J. Mech. Appl. Math., 1960, 13(1), p 10–15
T. Wierzbicki and W. Abramowicz, On the Crushing Mechanics of Thin-Walled Structures, J. Appl. Mech., 1983, 50(4a), p 727
T. Wierzbicki, L. Recke, W. Abramowicz et al., Stress Profiles in Thin-Walled Prismatic Columns Subjected to Crush Loading—I, Compression. Comput. Struct., 1994, 51(6), p 611–623
H.S. Kim and T. Wierzbicki, Crush Behavior of Thin-Walled Prismatic Columns under Combined Bending and Compression, Comput. Struct., 2001, 79(15), p 1417–1432
H.S. Kim, New Extruded Multi-Cell Aluminum Profile for Maximum Crash Energy Absorption and Eeight Efficiency, Thin Walled Struct., 2002, 40(4), p 311–327
J. Meredith, E. Bilson, R. Powe et al., A Performance Versus Cost analysis of Prepreg Carbon Fibre Epoxy Energy Absorption Structures, Compos. Struct., 2015, 124, p 206–213
A. Meidell, Computer Aided Material Selection for Circular Tubes Designed to Resist Axial Crushing, Thin Walled Struct., 2009, 47(8), p 962–969
R. Kalhor and S.W. Case, The Effect of FRP Thickness on Energy Absorption of Metal-FRP Square Tubes Subjected to Axial Compressive Loading, Compos. Struct., 2015, 130, p 44–50
M. Mirzaei, M. Shakeri, M. Sadighi et al., Experimental and Analytical Assessment of Axial Crushing of Circular Hybrid Tubes under Quasi-Static Load, Compos. Struct., 2012, 94(6), p 1959–1966
H.W. Song, Z.M. Wan, Z.M. Xie et al., Axial Impact Behavior and Energy Absorption Efficiency of Composite Wrapped Metal Tubes, Int. J. Impact Eng., 2000, 24(4), p 385–401
E.H. Hanefi and T. Wierzbicki, Axial Resistance and Energy Absorption of Externally Reinforced Metal Tubes, Compos. B Eng., 1996, 27(5), p 387–394
G. Sun, Z. Wang, J. Hong et al., Experimental Investigation of the Quasi-Static Axial Crushing Behavior of Filament-Wound CFRP and Aluminum/CFRP Hybrid Tubes, Compos. Struct., 2018, 194, p S0263822317329744
G. Zhu, G. Sun, H. Yu et al., Energy Absorption of Metal, Composite and Metal/Composite Hybrid Structures under Oblique Crushing Loading, Int. J. Mech. Sci., 2018, 135, p 458–483
M. Song and J. Lee, The Characteristics of Bending Collapse of Aluminum/GFRP Hybrid Tube, J. Kor Soc. Compos. Mater., 2000, 84, p 7
D.W. Jung, H.-J. Kim, and N.-S. Choi, Aluminum–GFRP Hybrid Square Tube Beam Reinforced by a Thin Composite Skin Layer, Compos. A Appl. Sci. Manuf., 2009, 40(10), p 1558–1565
Lee, S.H., Kim, H.J., Choi, N.S., editors. Bending performance analysis of aluminum-composite hybrid tube beams. Key Engineering Materials; 2006: Trans Tech Publ.
D.K. Shin, H.C. Kim, and J.J. Lee, Numerical Analysis of the Damage Behavior of an Aluminum/CFRP Hybrid Beam under Three Point Bending, Compos. B Eng., 2014, 56(1), p 397–407
H.C. Kim, D.K. Shin, and J.J. Lee, Characteristics of Aluminum/CFRP Short Square Hollow Section Beam under Transverse Quasi-Static Loading, Compos. B Eng., 2013, 51(51), p 345–358
R. Kalhor, H. Akbarshahi, and S.W. Case, Numerical Modeling of the Effects of FRP Thickness and Stacking Sequence on Energy Absorption of Metal–FRP Square Tubes, Compos. Struct., 2016, 147, p 231–246
G. Sun, H. Yu, Z. Wang et al., Energy Absorption Mechanics and Design Optimization of CFRP/aluminium Hybrid Structures for Transverse Loading, Int. J. Mech. Sci., 2019, 150, p 767–783
E. Morris, A.G. Olabi, and M.S.J. Hashmi, Lateral Crushing of Circular and Non-Circular Tube Systems under Quasi-Static Conditions, J. Mater. Process. Technol., 2007, 191(1–3), p 132–135
Sathish, T., Sabarirajan, N., Karthick, S. Machining parameters optimization of Aluminium Alloy 6063 with reinforcement of SiC composites. Materials Today: Proceedings. 2020.
G.Y. Sun, H.L. Zhang, J.G. Fang et al., Multi-Objective and Multi-Case Reliability-Based Design Optimization for Tailor Rolled Blank (TRB) Structures, Struct Multidisciplinary Optim., 2017, 55(5), p 1899–1916
S.T.W. Lau, M.R. Said, and M.Y. Yaakob, On the Effect of Geometrical Designs and Failure Modes in Composite Axial Crushing: A Literature Review, Compos. Struct., 2012, 94(3), p 803–812
J.S. Kim, H.-J. Yoon, and K.-B. Shin, A Study on Crushing Behaviors of Composite Circular Tubes with Different Reinforcing Fibers, Int. J. Impact Eng., 2011, 38(4), p 198–207
Cao, W. The Research on Crushing Response and Crashworthiness under Axial compression of Thin-walled CFRP Tubes.2017.
X. Wang and G. Lu, Axial Crushing Force of Externally Fibre-Reinforced Metal Tubes, Proc. Inst. Mech. Eng. Part C J Mech. Eng. Sci., 2002, 216(9), p 863–874
J. Fang, G. Sun, N. Qiu et al., On Design Optimization for Structural Crashworthiness and Its State of the Art, Struct. Multidiscip. Optim., 2017, 55(3), p 1091–1119
J.M. Zurada, Introduction to artificial neural systems, Vol 8, West publishing company St, Paul, 1992
Wang CY, Li Y, Zhao WZ, et al. Structure design and multi-objective optimization of a novel crash box based on biomimetic structure. International Journal of Mechanical Sciences. 2018;138.
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Ma, Q., Dong, B., Zha, Y. et al. Multi-Objective Optimization for Energy Absorption of Carbon Fiber-Reinforced Plastic/Aluminum Hybrid Circular Tube under Both Transverse and Axial Loading. J. of Materi Eng and Perform 29, 5609–5624 (2020). https://doi.org/10.1007/s11665-020-04941-4
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DOI: https://doi.org/10.1007/s11665-020-04941-4