"High-side" fall due to rear braking

Vittore Cossalter


The example shows the simulation of a ?high-side? fall, which is closely related to vehicle stability and the interdependence between lateral and longitudinal tyre forces.

Frame l In a curve the rider starts to brake the rear wheel, therefore the longitudinal braking force increases, as does the total friction force;

Frame 2 The total friction force reaches the limit value, the rear wheel loses grip and the rear of the motorcycle moves outward;

Frame 3 The rider makes a mistake, reducing the braking force suddenly, and the rear wheel takes grip again;

Frame 4 The large side slip, which is still present, generates a lateral force impulse; the impulse torque around the centre of mass produced by the lateral force is not balanced by the torque caused by the tire load;

Frame 5 The result is that the motorcycle is violently twisted and pushed upwards.

Tire behaviour during a "high-side" may be better understood by looking at the following figure, which shows the available lateral tyre force when a longitudinal tyre force is present.

In both figures, the envelope of the families of curves is the friction ellipse.

The parameter of the curves is the longitudinal slip k

Fx = longitudinal force
Fy
= lateral force
Fz
= vertical load

The parameter of the curves is the side slip angle l

The impulse torque around the centre of mass, produced by the lateral force, is not balanced by the torque caused by tyre load, , consequently the rider falls.