Abstract
Globally, statistical analysis reports show that the most serious vehicle collisions mainly constitute of two-vehicle accidents. The dynamic and kinematic model of car crashes is particularly challenging when requirements for improved accuracy of the analysis are introduced. For more sophisticated models the more accurate the analysis, the more variables in each phase of motion and impact need to be introduced. Two basic problems must be solved, defined by the final rest position of the cars: whether it is known or must be found by solving Cautchy problem. This article presents a dynamic impact analysis between two vehicles, using data for known final rest position and avoiding the uneasy task of selecting the correct coefficient of restitution. Undeniably, it represents the ratio between post impact and prior to impact relative velocity of the centers of mass of the two vehicles in projection in the direction of the crash pulse. The presented results were obtained by simulation and graphical dependencies of the proposed algorithm for reliability analysis estimation, followed by the deduced discrete positions of post-impact vehicles motion, which confirms the useful application of the proposed algorithm. A comparative study was carried out based on the known treds from first-hand inspection in the field accident.
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The author/s would like to thank the Research and Development Sector at the Technical University of Sofia for the financial support.
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Karapetkov, S., Dimitrov, L., Uzunov, H., Dechkova, S. (2022). Mechanical Mathematical Modelling of Two-Vehicle Collisions. In: Rackov, M., Mitrović, R., Čavić, M. (eds) Machine and Industrial Design in Mechanical Engineering. KOD 2021. Mechanisms and Machine Science, vol 109. Springer, Cham. https://doi.org/10.1007/978-3-030-88465-9_42
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