Longitudinal force

 

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,