E3S Web of Conf.
Volume 401, 2023V International Scientific Conference “Construction Mechanics, Hydraulics and Water Resources Engineering” (CONMECHYDRO - 2023)
|Number of page(s)||9|
|Section||Ecology, Hydropower Engineering and Modeling of Physical Processes|
|Published online||11 July 2023|
Mathematical model of braking process of car
Tashkent State Transport University, Tashkent, Uzbekistan
* Corresponding author: firstname.lastname@example.org
A mathematical model of braking a car using differential equations has been compiled. The calculation scheme of the plane-parallel motion of the car during braking is given. When braking a car, three forces are considered in the contact of each wheel with the road: the braking force, the slip resistance force, and the normal reaction of the road. A diagram of the components of the braking force acting in the plane contact of the wheel with the road when sliding. A scheme has been drawn up to determine the normal reactions on the wheels of a car. To assess the preservation of the car's controllability, a function of the driver's control action is introduced into the mathematical model, imitating the algorithm of his action. The angular speed of the steering wheel is limited by the driver's capabilities, and in emergencies is 250 ... 350 deg / s. If the heading angle decreased with the introduction of the driver's control action function, then the skid was considered controlled.
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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