Abstract
This paper examines the crashworthiness optimization of an impact attenuator constructed of polyurethane (PUR) foam used in racing vehicles. Different design variables are investigated such as the mechanical properties associated with each PUR density and the attenuator topology. Analytical method is employed to model the behavior of the PUR, while finite element (FE)-simulation using LS-Dyna4.3© is conducted to evaluate the performance of the attenuator. The evaluation criteria in this study are the average and maximum acceleration throughout the impact period. The FE-results reveal that the PUR of 80 kg/m3 is the most suitable, and experimental test is conducted for verification. The design of the attenuator is then modified by adding an internal cavity to provide a homogeneous cross-sectional area along the attenuator length. Size optimization analysis is carried out to attain stable acceleration values with the least average. Two approaches are considered for the design of the internal cavity, namely constant thickness and varied thickness. Various designs, each of specific cavity size and PUR density, are tested and the results are presented against each other. The varied thickness design with 30 mm base thickness and 145 kg/m3 has proved to be the optimum design.
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References
Albrecht, W. (2000). Cell-gas composition-An important factor in the evaluation of long-term thermal conductivity in closed-cell foamed plastics. Cellular Polymers 19, 5, 319–332.
Alzoubi, M. F., Al-Hallaj, S. and Abu-Ayyad, M. (2014). Modeling of compression curves of flexible polyurethane foam with variable density, chemical formulations and strain rates. J. Solid Mechanics 6, 1, 82–97.
Baroutaji, A., Sajjia, M. and Olabi, A. (2017). On the crashworthiness performance of thin-walled energy absorbers: Recent advances and future developments. Thin-Walled Structures, 118, 137–163.
Barsotti, M. (2012). Comparison of FEM and SPH for modeling a crushable foam aircraft arrestor bed. 11th Int. LS-DYNA® Users Conf., Detroit, MI, USA.
Belingardi, G. and Obradovic, J. (2010). Design of the impact attenuator for a formula student racing car: numerical simulation of the impact crash test. J. Serbian Society for Computational Mechanics 4, 1, 52–65.
Burbank, S. D. and Smith, L. V. (2012). Dynamic characterization of rigid polyurethane foam used in FEA softball simulations. M. S. Thesis. Washington State University. Pullman, WA, USA.
Casati, F. M., Herrington, R. M., Broos, R. and Miyazaki, Y. (1998). Tailoring the performance of molded flexible polyurethane foams for car seats. J. Cellular Plastics 34, 5, 430–466.
Chen, D. Y., Wang, L. M., Wang, C. Z., Yuan, L. K., Zhang, T. Y. and Zhang, Z. Z. (2015). Finite element based improvement of a light truck design to optimize crashworthiness. Int. J. Automotive Technology 16, 1, 39–49.
Cho, J. U., Choi, H. K., Lee, S., Cho, C. and Han, M. S. (2013). Experimental study of the impact characteristics of sandwich composites with aluminum honeycomb cores. Int. J. Automotive Technology 14, 3, 415–421.
Chow, W. K. (2004). Fire hazard assessment on polyurethane sandwich panels for temporary accommodation units. Polymer Testing 23, 8, 973–977.
Coppola, L., De Marco, B., Niola, V., Sakhnevych, A. and Timpone, F. (2020). Impact attenuator optimum design for a FSAE racing car by numerical and experimental crash analysis. Int. J. Automotive Technology 21, 6, 1339–1348.
Deshpande, V. S. and Fleck, N. A. (2000). Isotropic constitutive models for metallic foams. J. Mechanics and Physics of Solids 48, 6–7, 1253–1283.
Doyle, E. N. (1971). The development and use of polyurethane products. McGraw-Hill. New York, NY, USA.
Ekin, A., Webster, D. C., Daniels, J. W., Stafslien, S. J., Cassé, F., Callow, J. A. and Callow, M. E. (2007). Synthesis, formulation, and characterization of siloxane-polyurethane coatings for underwater marine applications using combinatorial high-throughput experimentation. J. Coatings Technology and Research 4, 4, 435–451.
Fam, A. and Sharaf, T. (2010). Flexural performance of sandwich panels comprising polyurethane core and GFRP skins and ribs of various configurations. Composite Structures 92, 12, 2927–2935.
Ferrigno, T. H. (1967). Rigid Plastics Foams. (2nd edn). Reinhold Publishing Corporation. New York, NY, USA. Formula SAE® Rules (2020). https://www.fsaeonline.com/cdsweb/app/NewsItem.aspx?NewsItemID=2c1ab552-40c3-4b97-a258-582dca0ea505
Han, M. S., Min, B. S. and Cho, J. U. (2014). Fracture properties of aluminum foam crash box. Int. J. Automotive Technology 15, 6, 945–951.
Hussein, R. D., Ruan, D., Lu, G., Guillow, S. and Yoon, J. W. (2017). Crushing response of square aluminium tubes filled with polyurethane foam and aluminium honeycomb. Thin-Walled Structures, 110, 140–154.
Ibrahim, M. A. and Melik, R. W. (2003). Optimized sound absorption of a rigid polyurethane foam. Archives of Acoustics 28, 4, 305–312.
Li, Q. M., Mines, R. A. W. and Birch, R. S. (2000). The crush behaviour of Rohacell-51WF structural foam. Int. J. Solids and Structures 37, 43, 6321–6341.
Li, Y. C., Kim, Y. S., Shields, J. and Davis, R. (2013). Controlling polyurethane foam flammability and mechanical behaviour by tailoring the composition of clay-based multilayer nanocoatings. J. Materials Chemistry A 1, 41, 12987–12997.
Lilley, K. and Mani, A. (1998). Roof-crush strength improvement using rigid polyurethane foam. SAE Trans., 374–384.
Linul, E. and Marsavina, L. (2013). Mechanical characterization of rigid pur foams used for wind turbine blades construction. Recent Advances in Composite Materials for Wind Turbines Blades. World Academic Publishing (WAP). Hong Kong.
Ma, C. C., Lan, F. C., Chen, J. Q., Liu, J. and Zeng, F. B. (2015). Automobile crashworthiness improvement by energy-absorbing characterisation of aluminium foam porosity. Materials Research Innovations 19, sup 1, S1–109–S101–112.
Obradovic, J., Boria, S. and Belingardi, G. (2012). Lightweight design and crash analysis of composite frontal impact energy absorbing structures. Composite Structures 94, 2, 423–430.
Oertel, G. and Abele, L. (1994). Polyurethane Handbook. 2nd edn. Hanser Gardner Publications. Munich, Germany.
Sadighi, M. and Salami, S. (2012). An investigation on low-velocity impact response of elastomeric & crushable foams. Open Engineering 2, 4, 627–637.
Sambamoorthy, B. and Halder, T. (2001). Characterization and component level correlation of energy absorbing (EA) polyurethane foams (PU) using LS-DYNA material models. 3rd LS-DYNA European Conf. Paris, France.
Shah, Q. H. and Topa, A. (2014). Modeling large deformation and failure of expanded polystyrene crushable foam using LS-DYNA. Modelling and Simulation in Engineering, 2014, 292647.
Singhal, A. and Subramanium, V. S. (2013). Cost effective and innovative impact attenuator for formula SAE car with drop test analysis. Int. J. Scientific and Research Publications 3, 3, 1–4.
Song, X., Sun, G., Li, G., Gao, W. and Li, Q. (2013). Crashworthiness optimization of foam-filled tapered thin-walled structure using multiple surrogate models. Structural and Multidisciplinary Optimization 47, 2, 221–231.
Sun, G., Li, G., Hou, S., Zhou, S., Li, W. and Li, Q. (2010). Crashworthiness design for functionally graded foam-filled thin-walled structures. Materials Science and Engineering: A 527, 7–8, 1911–1919.
Szycher, M. (2012). Szycher’s Handbook of Polyurethanes. (2nd edn). CRC press. Boca Raton, FL, USA.
Thirumal, M., Khastgir, D., Singha, N. K., Manjunath, B. S. and Naik, Y. P. (2008). Effect of foam density on the properties of water blown rigid polyurethane foam. J. Applied Polymer Science 108, 3, 1810–1817.
Vladimir, G. (2010). Testing and application of new phenomenological material model for foam materials. http://www.posterus.sk.
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Shaaban, A., Elsabbagh, A.M. Crashworthiness Optimization of Impact Attenuators Constructed of Polyurethane Foam. Int.J Automot. Technol. 23, 389–401 (2022). https://doi.org/10.1007/s12239-022-0036-8
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DOI: https://doi.org/10.1007/s12239-022-0036-8