FUNCTIONAL DEPENDENCE BETWEEN CYCLIST SPEED AND VEHICLE SPEED IN HEAD-ON COLLISIONS
Verche KONESKA, Zoran JOSHEVSKI, Pero STEFANOVSKI, Elena KOTEVSKA, Feta SINANI, Aleksandar STEFANOVSKI
Abstract
Summary: This paper focuses on analyzing the functional dependence between the speed of motor vehicles and the speed of cyclists during mutual collisions, with the goal of determining their influence on the cyclist's body throw distance. The research is based on 810 simulated traffic accidents conducted using the PC Crash 9.0 software package. The simulations involve collisions between ten different types of motor vehicles, each traveling at nine different speeds (25 km/h, 30 km/h, 35 km/h, 40 km/h, 45 km/h, 50 km/h, 55 km/h, and 60 km/h), and cyclists moving at three speeds (15 km/h, 20 km/h, and 25 km/h).
To determine the functional dependence, nonlinear regression models were applied. Initially, power regression was examined, followed by polynomial and exponential models to account for stronger nonlinearities. Additionally, Pearson and Spearman correlation tests were used to identify whether the relationship between travel speeds and the cyclist’s throw distance is linear or nonlinear. Artificial intelligence was also utilized in the analysis and interpretation of the results, as well as in the creation of some visualizations, in order to enhance the efficiency and accuracy of the research.
Based on the obtained results, the most appropriate mathematical model describing this relationship is a combined model with logarithmic terms, demonstrating a high coefficient of determination. This confirms that the proposed model accurately explains the variability of the data. Further statistical tests validate the statistical significance of the obtained parameters.
Pages: 258 - 264