Abstract
In this paper, we propose a method of modeling for vehicle crash systems based on viscous and elastic properties of the materials. This paper covers an influence of different arrangement of spring and damper on the models’ response. Differences in simulating vehicle-torigid barrier collision and vehicle-to-pole collision are explained. Comparison of the models obtained from wideband (unfiltered) acceleration and filtered acceleration is done. At the end we propose a model which is suitable for localized collisions simulation.
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M. Borovinsek, M. Vesenjak, M. Ulbin and Z. Ren, Simulation of crash tests for high containment levels of road safety barriers, Engineering Failure Analysis, 14(8) (2007) 1711–1718.
R. Harb, E. Radwan, X. Yan and M. Abdel-Aty, Light truck vehicles (LTVs) contribution to rear-end collisions, Accident Analysis & Prevention, 39(5) (2007) 1026–1036.
A. Soica and S. Lache, Theoretical and experimental approaches to motor vehicle: pedestrian collision, 3rd WSEAS International Conference on Applied and Theoretcial Mechanics, Spain, December (2007).
O. Klyavin, A. Michailov and A. Borovkov, Finite element modeling of the crash-tests for energy absorbing lighting columns, ENOC-2008, Saint Petersburg, Russia, June (2008).
C. -H. Lin, Modeling and simulation of van for side impact sensing tests, General Motors R&D Center, USA, Paper Number 07-0060 (2007).
A. Bižal, K. Jernej, R. Uroš and F. Matija, Numerical simulation of crash test for the vehicle student roadster, FISITA 2008 (2008).
R. J. Yang, L. Tseng, L. Nagy, and J. Cheng, Feasibility study of crash optimization, advances in design automation, Proceedings of the 1994 ASME Design Technical Conference, 20th Design Automation Conference, Minneapolis, Minnesota, USA, 69(2) (1994) 549–556.
J. A. Neptune and J. E. Flynn, A method for determining crush stiffness coefficients from offset frontal and side crash tests, SAE Paper 980024 (1998).
A. Deb and K. C. Srinivas, Development of a new lumped-parameter model for vehicle side-impact safety simulation, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 222(10) (2008) 1793–1811.
P. Jonsén, E. Isaksson, K. G. Sundin and M. Oldenburg, Identification of lumped parameter automotive crash models for bumper system development, International Journal of Crashworthiness, 14(6) (2009) 533–541.
M. S. Varat and S. E. Husher: Crash pulse modeling for vehicle safety research, 18th ESV Paper (2000).
H. R. Karimi and K. G. Robbersmyr, Signal analysis and performance evaluation of a vehicle crash test with a fixed safety barrier based on Haar wavelets, International Journal of Wavelets, Multiresoloution and Image Processing, 9(1) (2011) 131–149.
G. Šušteršič, I. Grabec and I. Prebil, Statistical model of a vehicle-to-barrier collision, International Journal of Impact Engineering, 34(10) (2007) 1585–1593.
X. Y. Zhang, X. L. Jin and J. Shen, Virtual reconstruction of two types of traffic accident by the tire marks, Lecture Notes Comput. Sci. 4282, (2006) 1128–1135.
D. Trusca, A. Soica, B. Benea, and S. Tarulescu, Computer Simulation and Experimental Research of the Vehicle Impact, WSEAS Transactions on Computers, 8(1) (2009) 1185–1194.
D. Vangi, Energy loss in vehicle to vehicle oblique impact, International Journal of Impact Engineering, 36(3) (2009) 512–521.
W. Pawlus, H. R. Karimi and K. G. Robbersmyr, Mathematical modeling of a vehicle crash test based on elastoplastic unloading scenarios of spring-mass models, International Journal of Advanced Manufacturing Technology, DOI: 10.1007/s00170-010-3056-x, 2010.
T. Omar, A. Eskandarian and N. Bedewi, Vehicle crash modelling using recurrent neural networks, Mathematical and Computer Modelling, 28(9) (1998) 31–42.
I. A. Harmati, A. Rovid, L. Szeidl and P. Varlaki, Energy distribution modeling of car body deformation using LPV representations and fuzzy reasoning, WSEAS Transactions on Systems, 7(1) (2008) 1228–1237.
V. Giavotto, L. Puccinelli, M. Borri, A. Edelman and T. Heijer, Vehicle dynamics and crash dynamics with minicomputer, Computers & Structures, 16(1–4) (1983) 381–393.
W. Pawlus, J. E. Nielsen, H. R. Karimi and K. G. Robbersmyr. Comparative analysis of vehicle to pole collision models established using analytical methods and neural networks. The 5th IET International System Safety Conference, Manchester, UK, October (2010).
W. Pawlus, H.R. Karimi and K. G. Robbersmyr, Analysis of vehicle to pole collision models: analytical methods and neural networks. International Journal of Control Theory and Applications, 3(2) (2010) 57–77.
C. Conroy, G. T. Tominaga, S. Erwin, S. Pacyna, T. Velky, F. Kennedy, M. Sise and R. Coimbra, The influence of vehicle damage on injury severity of drivers in head-on motor vehicle crashes, Accident Analysis & Prevention, 40(4) (2008) 1589–1594.
Y. Niu, W. Shen and J. H. Stuhmiller, Finite element models of rib as an inhomogeneous beam structure under high-speed impacts, Medical Engineering & Physics, 29(7) (2007) 788–798.
W. Pawlus, J. E. Nielsen, H. R. Karimi and K. G. Robbersmyr, Mathematical modeling and analysis of a vehicle crash, 4th European Computing Conference, Bucarest, Romania, April (2010).
W. Pawlus, J. E. Nielsen, H.R. Karimi and K.G. Robbersmyr, Development of mathematical models for analysis of a vehicle crash, WSEAS Transactions on Applied and Theoretical Mechanics, 5(2) (2010) 156–165.
W. Pawlus, J. E. Nielsen, H. R. Karimi and K. G. Robbersmyr, Further results on mathematical models of vehicle localized impact, The 3rd International Symposium on Systems and Control in Aeronautics and Astronautics, Harbin, China, June (2010).
W. Pawlus and J. E. Nielsen, Development of mathematical models for vehicle to pole collision, Shaker Publishing, Maastricht, The Netherlands (2010).
M. Huang, Vehicle Crash Mechanics, CRC Press, Boca Raton, USA (2002).
K. G. Robbersmyr, Calibration test of a standard Ford Fiesta 1.1L, model year 1987, according to NS-EN 12767, Project Report 43/2004, Grimstad: Agder University College (2004).
ISO 6487:2000, Road vehicles — measurement techniques in impact tests — instrumentation.
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This paper was recommended for publication in revised form by Associate Editor Mohammad Abdul Aziz Irfan
Witold Pawlus is a Research Assistant at the University of Agder in Norway. He received his B.Sc. in 2011 in Mechatronics from AGH University of Science and Technology in Kraków, Poland. His research interests are within the area of nonlinear systems parameters identification and mathematical modeling of real world phenomena.
Hamid Reza Karimi is a Professor in Control Systems at the University of Agder in Norway. His research interests are in the areas of control theory with an emphasis on applications in engineering. Dr. Karimi is a senior member of IEEE and serves as a Chairman of the IEEE Chapter on Control Systems in Norway. He is also serving as an editorial board member for some international journals, such as Mechatronics, Journal of the Franklin Institute, etc. He is a member of IEEE Technical Committee on Systems with Uncertainty, IFAC Technical Committees on Robust Control and on Automotive Control.
Kjell G. Robbersmyr is a Professor in Machine Design at both: the University of Agder and Hogskolen in Bergen in Norway. Machine design (component and system design, product development) and vehicle crash simulations (FEA) are his main research interests. From 1997 to 2005 he was the leader of a scientific group working in the area of full-scale crash testing, including e.g. performance evaluation of safety barriers.
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Pawlus, W., Karimi, H.R. & Robbersmyr, K.G. Development of lumped-parameter mathematical models for a vehicle localized impact. J Mech Sci Technol 25, 1737–1747 (2011). https://doi.org/10.1007/s12206-011-0505-x
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DOI: https://doi.org/10.1007/s12206-011-0505-x