Istrazivanja i projektovanja za privreduJournal of Applied Engineering Science

METHODOLOGY FOR ESTIMATing THE DEPENDENCE BETWEEN FORCE AND DEPLACEMENT - A VEHICLE CRASH CASE


DOI: 10.5937/jaes10-1471
This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions. 
Creative Commons License

Volume 10 article 213 pages: 1 - 8

Radomir Mijalovic 
University of Belgrade, Faculty of Transport and Traffic engineering,Belgrade, Serbia

Accident reconstruction software analyzed impact of vehicles considers usage of coefficient of restitution as a known quantity. In practice it is common that numerical value of coefficient of restitution is determined on basis of experience. Presence of error in its evaluation causes an essential error in output results. Thus, it is of exceptional importance to determine more precisely its numerical value. Improved solution of vehicle accident reconstruction software is presented in this paper. To archive that, in this paper was developed methodology which provides such analysis of impact process in which the coefficient of restitution becomes the result, and not input data. We have suggested new methodology for mathematical modeling of function dependence between force and displacement in a collision of vehicles. The compression process was approximated with piecewise linear function. The restitution process was approximated with linear curves. During process of restitution stiffness depends on maximum value of displacements during process of compression. The quality of the coherence between experimental data and mathematical function is quantified by residual sum of squares. Numerical examples are performed by usage of the obtained methodology.

View article

The research work was supported by the Ministry of Science and Technological Development of the Republic of Serbia (Grant No. 36010).

Ambrosio, J. (2005). Crash analysis and dynamical behaviour of light road and rail vehicles. Vehicle System Dynamics, Vol. 43, No. 6-7, pp. 385-411

Boggessa, B.M., Morrb, D.B., Petermanb, E.K., Wiechel, J.F. (2010). Experimental evaluation of underride analysis techniques and empirical validation of a new analytical technique. Accident Analysis and Prevention, No. 42, pp. 140-152

Demic, M. (2005). A contribution to design of semiactive vehicle suspension system. Journal of Applied Engineering Science (Istrazivanja i projektovanja za privredu), 9, pp. 7-16

Depriester, J.P., Perrin, C., Serre, T., Chalandon, S. (2006). Comparision of several methods for real pedestrian accident. (available online: www.mathlab.mtu.edu)

Elmarakbi, A., Zu, J. (2007). Mathematical modelling of a vehicle crash with emphasis on the dynamic response analysis of extendable cubic nonlinear dampers using the incremental harmonic balance method. Proc. IMechE Part D: J. Automobile Engineering, Vol. 221, pp. 143 - 156

Harmati, I.A., Rovid, A., Varlaki, P. (2010). Application of LPV Type Force Model in Vehicle Crash Dynamics. Proceedings of the9th WSEAS International Conference on Ap-plications of computer engineering

Huibers, J., de Beer, E. (2001). Curent front stiffness of European vehicles with regard to compatibility. International Technical Conference on the Enhanced Safety of Vehicles (ESV), Amsterdam, The Netherlands

Jankovic, A., Simic, D. (1996). Vehicle safety, monograph. DSP-mecatronic, Kragujevac

Kerkhoff, J.F., Husher, S.E., Varat, M.S., Busenga, A.M., Hamilton, K. (1993). An in-vestigation into vehicle frontal impact stiffness, BEV and repeated testing for reconstruction. Society of Automotive Engineers International Congress, Detroit, Michigan, SAE Paper 930899

Kostic, S., Bogicevic, D., Lalic, Z. (2007). Improving of methods for determination collision speed of vehicles based on their defor-mations. XXI International JUMV Automotive Conference Science and Motor Vehicles, Paper NMV0720S

Macmillan, R.H. (1983). Dynamics of vehicle collisions, Interscience Enterprises Ltd

McCoy, M.L., Lankarani, H.M. (2006). Deter-mination of the crush stiffness coefficients of a typical aftermarket frontal protective guard used in light trucks and vans with comparisons between guard stiffness and frontal vehicle crush coefficients. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, Vol. 220, pp. 1073 - 1084

Nolan, J.M., Lund, A.K. (2001). Frontal offset deformable barrier crash testing and its effect on vehicle stiffness. International Technical Conference on the Enhanced Safety of Vehicles (ESV), Amsterdam, The Netherlands

Nusholtz, G.S., Xu, L., Shi, Y., Domenico, L.D. (2005). Vehicle mass, stiffness and their relationship. 19th ESV, Paper number 05¬0413

Oztas, A.G. (1999). Application of Impulse Momentum Theory to Vehicle Collisions. Turkish Journal of Engineering and Environmental Science, 23, pp. 455-464

Pawlus, W., Karimi, H.R., Robbersmyr, K.G. (2011). Mathematical modeling of a vehicle crash test based on elasto-plastic unloading scenarios of spring-mass models. The Inter-national Journal of Advanced Manufacturing Technology, 55, pp.:369-378

Radisavljevic, M., Demic, M. (2004). A con-tribution to car body design of a passanger motor vehicle through improved vibro-acous- tic parameters. Journal of Applied Engineer¬ing Science (Istrazivanja i projektovanja za privredu), 6, pp. 25-34

Sekulic, D., Dedovic, V. (2008). Simulation of the oscillatory behavior of buses equipped with a classic and active suspension sys¬tem. Journal of Applied Engineering Science (Istrazivanja i projektovanja za privredu), 20, pp. 23-32

Selmic, R., Cvetkovic, R., Mijailovic, R. (2006). Optimization of cross-section in structures. monograph, The Faculty of Transport and Traffic Engineering, Belgrade

Schiehlen, W. (2007). Research trends in multibody system dynamics. Multibody Sys¬tem Dynamic, 18: 3-13

Stronge, W.J. (2004). Impact mechanics. Cambridge University Press

Steffan, H., Geigl, B.C., Moser, A., Hoschopf, H. (1998). Comparison of 10 to 100 km/h rigid barrier impacts. Paper No. 98-S3-P-12, (www-nrd.nhtsa.dot.go)

Subramaniam, K., Verma, M., Nagappala, R., Tedesco, R., Carlin, L. (2007). Evaluation of stiffness matching concepts for vehicle safety improvement, Enhanced Safety of Vehicles Conference, Lyon, France, Paper Number 07-0112

Van der Zweep, C.D., Jenefeldt, F., Thom¬son, R. (2002). Improvement of vehicle crash compatibility through the development of crash test procedure. Project number - GRD2-2001-50083, 1998-2002

Varat, M.S., Husher, S.E. (2000). Vehicle im-pact response analysis through the use of acceleration data. SAE Tech. Paper 2000¬01-0850

Zhang, X., Vu-Quoc. L. (2002). Modeling the dependence of the coefficient of restitution on the impact velocity in elasto-plastic colli¬sions, International Journal of Impact Engi¬neering, 27, pp. 317-341.

www.nhtsa.dot.gov

www.euroncap.com