Welcome to today's blog...
In the last blog, we discussed basics about the tires today lets discuss the forces and moments generated in the tire, as shown in the figure below. In tire dynamics, steady-state behavior is assumed which means the tire immediately responds to the change in the slip or tire load. The forces are given as Fx longitudinal force, Fy lateral force and Fz is the tire load respectively. Correspondingly you have moments which provide movements to the tire such as self-aligning moment Mz. From the figure, it can be seen that the tire is travelling at a horizontal speed of V with the components as Vx and Vy. The slip occurs while cornering of the tire or drive/brake torque; thus, you have slip speeds.
The rolling speed of a tire is given as Vr = Omega*Re i.e., angular velocity*radius.
Re is the effective rolling radius of tire which changes based on the conditions such as driving or braking. During braking, the tire stops that means the Re is increased and vice versa for driving. In addition to it, when the tire is travelling with no acceleration or braking torque it is known as a free-rolling condition.
This blog is just the basics of tire dynamics if you are interested to know more about this topic kindly comment.
Figure: Reference Vehicle Dynamics Book Joop.
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