The combined slip calculation of the Pacejka '89 and '94 tire models is identical. Note that the method employed here is not part of the Magic Formula as developed by Professor Pacejka, but is an in-house development of MSC.
Inputs:
■Dimensionless longitudinal slip κ (range –1 to 1) and side slip angle α in radian
■Longitudinal force Fx and lateral force Fy calculated using the Magic Formula
■Horizontal/vertical shifts and peak values of the Magic Formula (Sh, Sv, D)
■Fz is in Newton
Output:
■Adjusted longitudinal force Fx and lateral force Fy to incorporate the reduction due to combined slip:
Friction coefficients:
Forces corrected for combined slip conditions: