NEW EQUATIONS OF VEHICLE MOTION DURING BRAKING

Estimation parameters of vehicle braking performance are the steady deceleration and the braking distance. Firstly, to obtain the functional dependence of the steady deceleration it is necessary to have the correct equation of the vehicle motion, taking into account the hights of the application points acting on the vehicle motion. In addition, all the force factors associated with inertia should be expressed in the form of the vehicle inertia which is the driving braking force and which is reducing to the center of vehicle gravity. The object of research is the vehicle braking dynamics at any initial motion speeds. In the case of braking from a high initial speed, the air resistance is the second large resistance force at braking which exceeds repeatedly the force of rolling resistance and is the result of the tangential reactions caused by the contact points of the wheels, created by the braking mechanisms, with the supporting surface. The consideration of the application forces of the heights points has a significant influence on the vehicle motion dynamics during braking and is relevant to be taken into account in vehicles design and a real assessment of their effectiveness. The aim of the research is to obtain the equations of vehicle motion during braking with allowance for the force of air resistance and without it, which will allow us to evaluate the effect of drag forces on the braking dynamics. For the first time, based on the wheeled vehicle motion new equation analytical dependencies which connect longitudinal forces acting on a biaxial vehicle and points heights application at braking have been obtained. New equation analytical dependencies confirm the fact that the force did not arise without a point of application. A force in mechanics is a measure of at least two bodies interacting and is characterized by the point of application, direction and magnitude.

equation, motion, braking, vehicle, point of application of force, direction of force, steady deceleration

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