Multi-objective Optimization of Crashworthiness of Cylindrical Tubes as Energy Absorbers

Document Type : Research Paper

Authors

1 Islamic Azad University, Damavand

2 Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

Abstract

In this article, the multi-objective optimization of cylindrical aluminum tubes under axial impact load is presented.The absorbed energy and the specific absorbed energy (SEA) are considered as objective functions while the maximum crush load should not exceed allowable limit. The geometric dimensions of tubes including diameter, length and thickness are chosen as design variables. The Non-dominated Sorting Genetic Algorithm –II (NSGAII) is applied to obtain the Pareto optimal solutions. A back-propagation neural network is constructed as the surrogate model to formulate the mapping between the design variables and the objective functions. The finite element software ABAQUS/Explicit is used to generate the training and test sets for the artificial neural networks. To validate the results of finite element model, several impact tests are carried out using drop hammer.

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References

Alghamdi, A.A.A., "Collapsible Impact Energy Absorbers: An Overview," Thin-Walled Structures, Vol. 39, pp. 189-213, (2001).
 
[2] Guillow, S.R., Lu, G., and Grzebieta, R.H., "Quasi-static Axial Compression of Thin-walled Circular Aluminum Tubes," International Journal of Mechanical Sciences, Vol. 43, pp. 2103-2123, (2001).
 
[3] Karagiozava, D., and Jones, N., "Inertia Effects in Axisymmetrically Deformed Cylindrical Shells under Axial Impact," International Journal of Impact Engineering, Vol. 24, pp. 1083-1115, (2000).
 
[4] Hsu,S.S., and Jones,  N., "Quasi-static and Dynamic Axial Crushing of Thin-walled Circular Stainless Steel, Mild Steel and Aluminum Alloy Tubes,"  Journal of Crashworthiness ,Vol. 9, No. 2, pp.195-217, (2004).
 
[5] Shakeri, M., Mirzaeifar, R., and Salehghaffari, S., "New Insights into the Collapsing of Cylindrical Thin-walled Tubes under Axial Impact Load," Journal of Mechanical Engineering Science, Vol. 221, No. 8, pp. 869-886, (2007).
 
[6] Shakeri, M., .Beiglou, A.A., and Ghajari, M., "Numerical Analysis of Axisymmetric Collapse of Cylindrical Tubes under Axial Loading," in Proceedings of the Seventh International Conference of Computational Structures Technology (CST), Civil-Compress, Lisbon, Portugal, pp. 250, (2004).
 
[7] Yamazaki, K., and Han, J., "Maximization of the Crushing Energy Absorption of Cylindrical Shells," Advances in Engineering Software, Vol. 31, pp. 425-434, (2000).
 
[8] Zarei, H.R., and Kroger, M., "Multi-objective Crash-worthiness Optimization of Circular Aluminum Tubes," Thin-Walled Structures, Vol. 44, pp. 301-308, (2006).
 
[9] Hou, S., Li, Q., Long, S., Yang, X., and Li, W., "Design Optimization of Regular Hexagonal Thin-walled Columns with Crashworthiness Criteria," Finite Element Analysis Design, Vol. 43, pp. 555–565, (2007).
 
 [10] Liu, Y., "Crashworthiness Design of  Multi-corner Thin-Walled Columns," Thin-walled Structures, Vol. 46, pp. 1329–1337, (2008).
 
 [11] Lanzi, L., Bisagni, S., and Ricci, S., "Neural Network Systems to Reproduce Crash Behavior of Structural Components," Computer & Structures, Vol. 82, pp .93-108, (2004).
 
[12] Mirzaei, M., Shakeri, M., Seddighi, M., and Seyedi, S.E., "Using of Neural Network and Genetic Algorithm in Multi-objective Optimization of Collapsible Energy Absorbers" in:  2th International Conference on Engineering Optimization, Lisbon, Portugal, pp. 01556, (2010).
 
[13] Lanzi, L., Castelleti, L.M.L., and Anghileri, M., "Multi-objective Optimisation of Composite Absorber Shape under Crashworthiness Requirements," Computer & Structures.  Vol. 65, pp. 433-441, (2004).
 
[14] Fang, H., Rais-Rohani, M., Liu, Z., and Horstemeyer, M.F., "A Comparative Study of  Metamodeling Methods for Multi-objective Crashworthiness Optimization," Composite Structures, Vol. 83, (25–26), pp. 2121–2136, (2005).
 
[15] Stander, N., Roux, W., Giger, M., Redhe, M., Fedorova, N., and Haarhoff, J., "A Comparison of Metamodeling Techniques for Crashworthiness Optimization," in: 10th AIAA/ISSMO Multidisciplinary Analysis & Optimization Conference, Albany, New York, 1–2 (AIAA 2004-4489), (2004).
 
[16] Deb, K., "A Fast and Elitist Multi-objective Genetic Algorithm: NSGA-II," IEEE Trans Evolutionary Comput, Vol. 6, No. 2, pp. 182–197, (2002).
 
[17] Rosenblatt, F., "The Perceptron: a Probabilistic Model for Information Storage and Organization in the Brain," Psychological Review, Vol. 65, pp. 386-408, (1986).
 
[18] Rumelhart, D.E., Hinton, G.E., and Williams, R.J., "Learning Representations by Back-propagation Errors," Nature, Vol. 323, pp. 533-536, (1986).
 
[19] Hagan, M.T., Demuth, H.B., and Beale, M., "Neural Networks Design," PWS Publishing Company, Boston, MA, (1996).
 
[20] Deb, K., "Multi-objective Optimization using Evolutionary Algorithms," Springer-Verlag Berlin Heidelberg, (2001).
 
[21] Jiang, Z., and Gu, M., "Optimization of a Fender Structure for the Crashworthiness Design," Materials and Design, Vol. 31, pp. 1085-1095, (2010).

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