Relaxation Behavior
The longitudinal deformation

and lateral deformation

For small values of u and v, the longitudinal and lateral forces will be

Where
and
are tire’s structural stiffness in longitudinal and lateral
direction respectively. Using relaxation lengths in force calculation will result in
following equations

Where

The force calculation remains the same but
and
are used in place of
and
.
When the state value goes out of bounds; an artificial damping can be applied to the state values. It is required when a tire goes over large obstacles. Low_speed_threshold, damp_x, damp_y are three additional parameters in tire property file that can be used to tune artificial damping to avoid non-physical values of state.