Skip to main content
Log in

Development of lumped-parameter mathematical models for a vehicle localized impact

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 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.

    Article  Google Scholar 

  2. 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.

    Article  Google Scholar 

  3. 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).

  4. 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).

  5. C. -H. Lin, Modeling and simulation of van for side impact sensing tests, General Motors R&D Center, USA, Paper Number 07-0060 (2007).

  6. A. Bižal, K. Jernej, R. Uroš and F. Matija, Numerical simulation of crash test for the vehicle student roadster, FISITA 2008 (2008).

  7. 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.

    Google Scholar 

  8. 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).

  9. 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.

    Article  Google Scholar 

  10. 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.

    Article  Google Scholar 

  11. M. S. Varat and S. E. Husher: Crash pulse modeling for vehicle safety research, 18th ESV Paper (2000).

  12. 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.

    Article  MATH  Google Scholar 

  13. 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.

    Article  Google Scholar 

  14. 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.

    Google Scholar 

  15. 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.

    Google Scholar 

  16. D. Vangi, Energy loss in vehicle to vehicle oblique impact, International Journal of Impact Engineering, 36(3) (2009) 512–521.

    Article  Google Scholar 

  17. 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.

  18. T. Omar, A. Eskandarian and N. Bedewi, Vehicle crash modelling using recurrent neural networks, Mathematical and Computer Modelling, 28(9) (1998) 31–42.

    Article  Google Scholar 

  19. 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.

    Google Scholar 

  20. 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.

    Article  Google Scholar 

  21. 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).

  22. 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.

    Google Scholar 

  23. 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.

    Article  Google Scholar 

  24. 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.

    Article  Google Scholar 

  25. 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).

  26. 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.

    Google Scholar 

  27. 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).

  28. W. Pawlus and J. E. Nielsen, Development of mathematical models for vehicle to pole collision, Shaker Publishing, Maastricht, The Netherlands (2010).

    Google Scholar 

  29. M. Huang, Vehicle Crash Mechanics, CRC Press, Boca Raton, USA (2002).

    Book  Google Scholar 

  30. 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).

    Google Scholar 

  31. ISO 6487:2000, Road vehicles — measurement techniques in impact tests — instrumentation.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hamid Reza Karimi.

Additional information

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.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-011-0505-x

Keywords

Navigation