Adrian TODORUŢ, Nicolae CORDOȘ, István BARABÁS, Monica BĂLCĂU


The paper evaluates from a physico-mathematical point of view the kinematic values of traffic incidents between motorcycles and passenger cars in their various stages. When evaluating the kinematic values of such incidents we take into account the parameters resulted from the primary search of the incident site. By reconstructing such incidents one aims to determine the velocity variation of the motorcyclist (man/woman - 5; 50; 95%), according to the distance covered by the motorcyclist from the initial impact until they reached the ground – the total distance of the impact, also taking into consideration the angle of the trajectory. In the situation of different impact angles of the motorcyclist until they reached the ground – the distance covered in air after impact as well as the total impact one, are determined according to the sliding distance covered on the type of soil that they have been projected on, by following the dependence between these kinematic values. The results obtained are in a graphic form and they offer the possibility of catching the various stages of the incident. The numerical model developed can be applied to solve a large number of cases of such motorcycle - passenger car traffic incidents in order to establish their dynamics when produced as well as their reconstruction.

Key words: passenger car, motorcyclist, traffic incident, kinematic values, numerical modeling

Full Text:



Ahlstrom, V.; Longo, K., Human Factors Design Standard (HF-STD-001), Atlantic City International Airport, NJ: Federal Aviation Administration William J. Hughes Technical Center, 2003 (amended/updated 2009), gov/hfds/download.htm.

Batista, M., A Simple Throw Model for Frontal Vehicle-Pedestrian Collisions, Promet - Traffic&Transportation, Vol. 20, 2008, No. 6, 357-368,

Bogdanović, L.; Batista, M., The Throw Model for Vehicle/Pedestrian Collisions including Road Gradient, Proceedings, 8th International Conference on Traffic Science (ICTS 2004), Nova Gorica, Slovenija, 11.-12. November 2004,

Brach, Raymond M.; Brach, R. Matthew, Vehicle Accident Analysis and Reconstruction Methods, Second Edition. Warrendale, PA, SAE International, 2011.

Cristea, D., Abordarea accidentelor rutiere. Piteşti, Editura Universităţii din Piteşti, 2009.

Franck, H.; Franck, D., Mathematical Methods for Accident Reconstruction A Forensic Engineering Perspective. CRC Press, Taylor & Francis Group, 2010.

Gaiginschi, R.; Filip, I., Expertiza tehnică a accidentelor rutiere. București, Editura Tenică, 2002.

Gaiginschi, R., Reconstrucția și expertiza accidentelor rutiere. București, Editura Tehnică, 2009.

Otte, D., Use of Throw Distances of Pedestrians and Bicyclists as Part of a Scientific Accident Reconstruction Method, SAE Technical Paper 2004-01-1216, 2004, doi:10.4271/2004-01-1216.

Otte, D., Technical Parameters for Determination of Impact Speed for Motorcycle Accidents and the Importance of Relative Speed on Injury Severity, SAE Technical Paper 2006-01-1562, 2006, doi:10.4271/2006-01-1562.

Rich, A.S., Estimating Vault Distance and Speed after Motorcycle or Bicycle Ejection, NJAAR, The Newsletter for Accident Reconstructionists, Vol. 3 No. 2, 1997.

Searle, J. and Searle, A., The Trajectories of Pedestrians, Motorcycles, Motorcyclists, etc., Following a Road Accident, SAE Technical Paper 831622, 1983, doi:10.4271/831622.

Searle, J., The Physics of Throw Distance in Accident Reconstruction, SAE Technical Paper 930659, 1993, doi:10.4271/930659.

Stevenson, T.J., Simulation of Vehicle-Pedestrian Interaction, Thesis for the Degree of Doctor of Philosophy in Engineering in the University of Canterbury, 2006, nz/handle/10092/1180.

Todoruț, A., Dinamica accidentelor de circulație. Cluj-Napoca, Editura U.T. PRESS, 2008.

Todoruţ, A.; Barabás, I.; Brânzaş, P.; Gavrilaş, C.A. Reconstrucţia accidentelor rutiere motocicletă-automobil. În: Ştiinţă şi Inginerie, Vol. 17, pg. 135-144. Bucureşti, Editura AGIR, 2010, ISSN 2067-7138, e-ISSN 2359-828X.

Todoruţ, A.; Cordoș, N.; Barabás, I.; Bălcău, Monica. The evaluation of kinematic measures which characterize the vehicle-pedestrian accidents. Cluj-Napoca, Buletinul Ştiinţific al UTC-N, Acta Technica Napocensis, Series: Applied Mathematics, Mechanics, and Engineering, Vol. 58, Issue I, March, 2015, pg. 31-40, Editura U.T.PRESS, ISSN 1221-5872, http://www.atna-mam.

Todoruţ, I.-A.; Barabás, I.; Burnete, N., Siguranţa autovehiculelor şi securitatea în transporturi rutiere. Cluj-Napoca, Editura U.T.PRESS, 2012.

Van Kirk, Donald J., Vehicular accident investigation and reconstruction. CRC Press LLC, 2001.

Whyte, T.; Gibson, T.; Brown, J.; Milthorpe, B.; Eager, D., Mechanisms of head and neck injuries sustained by helmeted motorcyclists in NSW, Australia. Paper Number 15-0332, 24/files/24ESV-000332.PDF.

*** Motoflash - Compară motocicletele noi, Specificații tehnice. http://www. (accessed on 02/02/2016).

*** Parc auto 2015, Data de referință - 31/12/2015. DRPCIV - Directia Regim Permise de Conducere si Inmatriculare a Vehiculelor, Ministerul Afacerilor Interne, (accessed on 09/02/2016).

*** Raport statistic categorii permise de conducere, Data de referință - 31.12.2014. DRPCIV - Directia Regim Permise de Conducere si Inmatriculare a Vehiculelor, Ministerul Afacerilor Interne, (accessed on 09/02/2016).

*** Siguranța utilizatorilor vulnerabili. Inspectoratul General al Poliției Române, Direcția Rutieră, 2015. /pdf/2015_round_tables/politei_romane_vru.pdf (accessed on 09/02/2016).


  • There are currently no refbacks.