4.7. Cornering Analysis

After achieving the equilibrium state for free rolling in a straight line, a cornering analysis develops a slip angle in the tire by increasing the lateral component of the translational velocity of the tire. Slip angle α is the angle between the travel direction of the vehicle and the direction toward which the rolling tire is pointing.

Figure 4.15: Tire Slip Angle

Tire Slip Angle

The vehicle’s travel direction is the vector sum of the tire’s forward and lateral velocity components, denoted by Vt1 and Vt2, respectively.

Example 4.11: Cornering Analysis with a 10° Slip Angle

/com *************************************************************
/com Cornering analysis on the 3D model with 10-degree slip angle
/com *************************************************************
time,7
nsubst,50,200000,30
outres,all,all
sstate,define,Etire,spin,FRS,points,0,0,0,0,1,0
!Velocity components: Vy= Vt*sin(10°),Vz= Vt*cos(10°), where Vt= 20m/s
sstate,define,Etire,Translate,,3.473,19.696  
sstate,list
rescontrol,,all,last
solve

Figure 4.16: Contact-Pressure Distribution on Tire-Road Contact Pair After Cornering Analysis

Contact-Pressure Distribution on Tire-Road Contact Pair After Cornering Analysis

You can also obtain a series of steady-state rolling solutions at various slip angles. The corning force acting on the tire is calculated as a reaction force in the lateral direction on the pilot node of the tire-rim contact pair.

Figure 4.17: Cornering Force (Fy) vs. Slip Angle

Cornering Force (Fy) vs. Slip Angle