A mathematical model of the vibrating system equivalent to the vehicle in the mode of emergency braking

Abstract

A mathematical model of the vibrating system equivalent to the vehicle in the mode of emergency braking is developed and the solution is offered. The problem associated with the comparison of the vibrations of the braking vehicle with the oscillations of a uniformly translating vehicle is considered. On the basis of the analysis of the available research data some assumptions and constraints are introduced, allowing the vibrating system equivalent to the condition of the vehicle in the mode of emergency braking to be developed. The system obtained differs from the data found in the theory of the vehicle in the description of the applied tangential forces caused by the force of inertia applied to the center of gravity. Based on the equivalent system developed, the differential equations describing the displacements of masses of the above system are derived and solved.

First Published Online: 19 Dec 2011

Keyword : mathematical model, dynamics of the vehicle, equivalent vibrating system, flexible mounted and inflexible mounted vehicle masses, normal deformation, static equilibrium, deceleration, the moment of the tangential force