Passage of a vehicle over a standard obstacle

Abstract

Traffic safety depends on vehicle quality, traffic density and road conditions. Motion of a vehicle on a road or bridge body is therefore interesting from many points of view for various experts. We draw our attention to the unevenness of the road, specifically to the road profile with the so-called standard obstacle. In the article we present several alternatives for the mathematical model of such a road and also the mathematical model of the trajectory of the vehicle while traversing this standard obstacle. The shape of the obstacle meets the requirement of continuous one-point contact of the tire with the road; it does not contain singular points, and thus provides conditions for safer driving, especially when transporting persons in critical condition, or shocks-sensitive or hazardous materials.