Justification of the value of the critical speed of the car when turning taking into account the theory of risk

Abstract

Accident statistics show that the reason for a large number of accidents is the wrong turn speed chosen by the driver. The solution to this problem can be a driver assistance system that will inform the driver about exceeding the speed limit. However, in order to implement this system, it is necessary to know the critical speed of the car on the skid, which, in turn, depends on the turning radius and the coefficient of transverse adhesion of the wheel to the road surface. It is difficult to obtain this coefficient, because different authors propose different ways of calculating and experimentally determining it, which leads to different results in calculating the critical velocity. The article discusses methods for determining the coefficient of transverse adhesion and selects the most appropriate method from the point of view of risk theory. The dependences of the critical speed of the car on the turning radius and the coefficient of transverse wheel coupling are given, taking into account the risk theory for the permissible values of the risk coefficient.