Maximium Velocity that a Vehicle can Attain without Skidding and Toppling While Taking a turn

Abstract

This paper compares the maximum turning velocity without skidding and toppling for a four wheel vehicle steered using either an all-four-wheel steering system, rear wheel steering system or an ordinary front wheel steering system. The maximum turning-velocity of a vehicle, the dimension of an automobile, and the surface condition of the road necessary to avoid skidding and toppling have been related mathematically with the help of equations. Maximum attainable velocity during turning has been analyzed utilizing these equations, in the above mentioned three different types of steering systems. In attaining maximum velocity for all the steering mechanisms, four different road radiuses have been considered. A maximum radius of curvature (12.42 meter), and a minimum radius of curvature (5.69 meter) and two other intermediate radii of curves (10.94meter and 8.06meter) have been taken. An optimization tool named genetic algorithm, which works based on Darwin?s principle of natural selection, has been developed as an optimization tool to maximize the attainable velocity of a vehicle where no skidding and toppling will takes place.