The longitudinal force depends on the:
• Vertical force ()
• Current coefficient of friction ()
• Longitudinal slip ratio ()
• Slip angle ()
The comprehensive slip ratio ():
(1)
The current value coefficient of friction ():
(2)
A critical longitudinal slip ()
(3)
1. Elastic Deformation State:
(4)
: Partial derivative of
longitudinal force (
) with respect to
longitudinal slip ratio (
) at zero longitudinal
slip
2. Complete Sliding State:
(5)
where,