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Full car model dynamics with anti-lock brake system

In today’s automobile industry, every company tries to make a car as safe and comfortable as possible. The automotive industry is a big industrial and economic force worldwide. This industry makes almost 60 million cars and trucks per year. In this competitive market, every company tries to develop new systems, to optimize the old methods, and to comply with higher standards not to be left behind in the market.

When speaking about comfortability in engineering, the most relevant parts are the springs and dampers of a car which open up a whole new world of opportunities to make a vehicle better in many aspects. This journey starts with a free body diagram of our desired vehicle to have a mathematical model that helps to reach the desired goal.

Another important aspect of comfort and safety in every vehicle is the brake system which has an essential influence on the passenger’s life and driving experience. Consequently, this topic is extremely important and there is a large room for further research in the field [1,2].

In the present study, a planar model of a full passenger car is simulated with 2 degree-of-freedom wheel suspensions at the front and at the rear, and with additional longitudinal springs at the front axles representing the longitudinal elasticity of the front suspension. An anti-lock braking system is considered for each wheel. The vehicle moves on a dry tarmac road with random noise at the coefficient of friction between the tire and the road surface. As a result of the simulations, the vertical displacements of the wheels and the car body together with the body tilt are presented in time for different driving conditions like free-rolling, accelerating, and braking.

The ultimate goal is to investigate the influence of the longitudinal elasticity at the front suspensions on the driving comfort, and on the functionality of the ABS system. Then we also investigate the effect of different parameters like the control parameters of the vehicle model and how to tune the system in the presence of separate random noises on each tire to reach the maximum safety and comfort for the passengers.


1. Jazar Reza N.: Vehicle Dynamics Theory and Application (2008).

2. Pacejka H.: Tire and vehicle dynamics, 2nd Edition (2005).


  • Mohebi Javad
    Gépészmérnöki alapszak (BSc)
    alapképzés (BA/BSc)


  • Dr. Stépán Gábor
    egyetemi tanár, Műszaki Mechanikai Tanszék
  • Horváth Ádám
    Doktorandusz, Repüléstudományi és Hajózási Tanszék


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