Improving the accuracy of calculating the speed of movement at the time of an accident in collisions with incomplete overlap of a part of the car

Introduction. Driving at a speed exceeding the permitted and average speed of traffic flow often leads to a collision of vehicles with other road users or with elements of the arrangement of highways. As a result, it is necessary to establish whether the fact of this violation of the traffic rules, which led to the occurrence of an emergency-dangerous road traffic situation. The methods used to calculate the speed of vehicles based on the resulting deformations are quite accurate, but this fact is true in conditions of complete overlap (impact across the entire width of the front, rear or side parts of the body). But there is a scientific task of developing a methodology according to which an expert or investigator will be able to calculate the average statistical value of measuring the depth of deformation of a vehicle for a specific road traffic situation.

Materials and methods. The paper proposes a method for evaluating the possibility of using the data available to the expert for calculation by introducing the coefficient of variation of the depth of penetration. With the help of the coefficient of variation, the specialist has a tool for selecting and ignoring individual measurements of the depth of penetration, depending on the degree of overlap and on the ‘spread’ of the deformation values.

Conclusions. After studying a number of collisions with incomplete overlap and excluding the ‘extra’ values of penetration, the speed equivalent to the energy cost for the development of residual deformations and errors (the difference between the true collision speed and the established one without taking into account the ‘falling out’ values of deformations) was calculated and it was found that the use of the algorithm taking into account the coefficient of variation led to sufficiently accurate calculation results.

Discussions. The proposed methodology regulates the use of the coefficient of variation as a criterion for the admissibility of the use of source data to determine the quality of the final result of the calculation. This mathematical device is applicable to all collisions, but is especially relevant when studying collisions with incomplete overlap of any part of the car body.

1. Adam Mrowicki, Mateusz Krukowski, Filip Turoboś, Przemysław Kubiaka Determining vehicle pre-crash speed in frontal barrier crashes using artificial neural network for intermediate car class. Transportation Research Procedia 44, 2020, 219-225 DOI:10.1016/j.forsciint.2020.110179

2. Brylev I., Evtiukov S. Problems of calculating the speed of two-wheeled motor vehicles in an accident. Transportation Research Procedia 2018, 8489 DOI: 10.1016/j.trpro.2018.12.047

3. Dario Vangi Energy loss in vehicle to vehicle oblique impact. International Journal of Impact Engineering Volume 36, Issue 3, March 2009, pp. 512521 DOI:10.1016/j.ijimpeng.2008.09.001

4. Evtiukov S., Karelina M., Terentyev A. А method for multi-criteria evaluation of the complex safety characteristic of a road vehicle. Transportation Research Procedia, 2018, 149-156 DOI: 10.1016/j.trpro.2018.12.057

5. Evtiukov S., Kurakina E., Lukinskiy V., Ushakov A. Methods of accident reconstruction and investigation given the parameters of vehicle condition and road environment. Transportation Research Procedia 12th International Conference «Organization and Traffic Safety Management in Large Cities», 2017, 185-192 DOI: 10.1016/j.trpro.2017.01.049

6. Evtukov S., Golov E., Sazonova T. Prospects of scientific research in the field of active and passive safety of vehicles. Matec WEB of Conferences (Siberian Transport Forum Transsiberia, TS) 2018, 04018 DOI: 10.1051/matecconf/201823904018

7. Kurakina E., Evtiukov S., Ginzburg G. Systemic indicators of road infrastructure at accident clusters. Architecture and Engineering Т. 5. № 1. 2020, pp. 51-58 DOI: 10.23968/2500-0055-2020-5-1-51-58

8. Kurakina E., Evtiukov S., Rajczyk J. Forecasting of road accident in the dvre system. Transportation research procedia, 2018, 380-385 DOI: 10.1016/j.trpro.2018.12.111

9. Kurakina E., Evtyukov S. Improvement of the system for accounting of parameters during construction of motor roads. Architecture and engineering №3, 2017, pp.34-42 DOI:10.23968/25000055-2017-2-3-34-42

10. Kurakina E., Evtyukov S. Results of studying road construction parameters condition. Architecture and engineering №1, 2018, pp.29-37 DOI:10.23968/2500-0055-2018-3-1-29-37

11. Ľudmila Macurová, Pavol Kohút, Marek Čopiak, Ladislav Imrich, Miroslav Rédl Determinig the Energy Equivalent Speed by Using Software Based on the Finite Element Method. Transportation Research Procedia Volume 44, 2020, pp. 219-225 DOI:10.1016/j.trpro.2020.02.050

12. Petrov S., Evtyukov S., Petrova D. Influence of regional features of psychoemotional state of the Russian society on road accidents severity. MATEC Web Conf. Volume 239, Siberian Transport Forum TransSiberia 2018, pp.06008 DOI: 10.1051/matecconf/201823902009 Przemysław Kubiak Nonlinear approximation method of vehicle velocity

13. Vt and statistical population of experimental cases. Forensic Science International Volume 281, December 2017, pp. 147-151 DOI: 10.1016/j.forsciint.2017.10.032

14. R. Pride, D. Giddings, D. Richens, D. S. McNallya The sensitivity of the calculation of ΔV to vehicle and impact parameters. Accident Analysis & Prevention Volume 55, June 2013: 144-153 DOI:10.1016/j.aap.2013.03.002

15. Rajczyk P., Evtiukov S. New technological solutions in improving road safety. Transportation research procedia, 2018: 649-653 DOI: 10.1016/j.trpro.2018.12.133

16. Rajczyk P., Knapiński M., Kurakina E. The influence of surface topography on the safety of road and utility surfaces. Transportation Research Procedia, 2018, 640-648 DOI: 10.1016/j.trpro.2018.12.139

17. Repin S., Evtiukov S., Maksimov S. А method for quantitative assessment of vehicle reliability impact on road safety. Transportation Research Procedia, 2018: 661-668 DOI: 10.1016/j.trpro.2018.12.128

18. Dobromirov V.N., Evytukov S.S., Golov E.V Sovremennye tekhnologii pervichnogo osmotra mesta dorozhno-transportnogo proisshestviya [Modern technologies of the primary inspection of the road accident place]. Bulletin of Civil Engineers, 2017, 2(61): 232-239 DOI: 10.23968/1999-5571-2017-14-2232-239 (in Russian)

19. Dobromirov V.N., Evytukov S.S., Golov E.V. Organizaciya bezopasnogo dorozhnogo dvizheniya na peshekhodnyh perekhodah [Organization of safe traffic at pedestrian crossings]. Bulletin of Civil Engineers 6(65) 2017, pp. 265-270 DOI: 10.23968/1999-55712017-14-6-265-270 (in Russian)

20. Dobromirov V.N., Evtyukov S.S., Kurakina E.V. Sovershenstvovanie metodov ocenki bezopasnosti dorozhnogo dvizheniya na skorostnyh avtomobil’nyh dorogah [Improving safety assessment methods of traffic on high-speed roads]. Mir transporta I technologicheskih mashin 2017, 1(56): 94-100 (in Russian)

21. Evtukov S.S., Golov E.V. Vybor koefficientov pri opredelenii zatrat kineticheskoj energii na deformaciyu avtomobilya [Selection of coefficients at determining the cost of kinetic energy cost on the vehicle deformation]. Bulletin of Civil Engineers 2019, 1 (72): 152-157 DOI: 10.23968/1999-5571-2019-16-1152-157 (in Russian)

22. Kurakina E.V., Riazanov S.V. Kompleksnyj analiz avarijnosti i prichin uhudsheniya dorozhnotransportnoj obstanovki [Comprehensive analysis of accident rate and causes of complication of road traffic situation]. Bulletin of Civil Engineers 2020, 4 (81):189-196 DOI: 10.23968/1999-5571-2020-17-4-189-196 (in Russian)

23. Elena V. Kurakina, Anastasia A. Sklyarova Povyshenie urovnya bezopasnosti dorozhnogo dvizheniya v sisteme «Uchastnik dorozhnogo dvizheniya – Transportnoe sredstvo – Doroga – Vneshnyaya sreda» [Road safety improvement in road traffic participant – vehicle – road – external environment system]. The Russian Automobile and Highway Industry Journal 2020, (74): 488-499 DOI: 10.26518/2071-7296-2020-17-4-488-499 (in Russian)

24. Lutov D.A., Shimanova A.A. Perspektivnye napravleniya sovershenstvovaniya sistemy obespecheniya bezopasnosti dorozhnogo dvizheniya v Rossijskoj Federacii [Perspective directions of improving the traffic safety system in the Russian Federation]. Bulletin of Civil Engineers 2018, 2(67): 238-245 DOI: 10.23968/1999-5571-2018-15-2-238245 (in Russian)

25. Petrov A.I., Evtyukov S.A. Novaya antientropijnaya koncepciya organizovannosti sistem obespecheniya bezopasnosti dorozhnogo dvizheniya [A new anti-entropic conception of forming the road traffic safety provision systems]. Bulletin of Civil Engineers2019. 1(72): 184-193 DOI: 10.23968/19995571-2019-16-1-184-193 (in Russian)