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Simulation output and interpretation 413<br />

(a) (b) (c)<br />

Fig. 7.18<br />

Possibilities for departure from linearity<br />

close to the subjective linearity limit and then the vehicle speed is increased<br />

in order to increase the lateral acceleration. The increase in vehicle speed is<br />

gradual and so details such as driveline layout are not relevant because the<br />

drive torque is low. This situation might occur, for example, on a long, constant<br />

radius, downhill motorway interchange ‘cloverleaf’.<br />

The three scenarios illustrated in Figure 7.18 can be summarized as:<br />

(a) reduced AyG and further reduced YRG<br />

(b) reduced AyG and YRG in proportion to each other<br />

(c) reduced YRG and further reduced AyG<br />

In scenario (a), yaw rate gain is reduced further than lateral acceleration<br />

gain. In order to accommodate the changes in both lateral acceleration and<br />

yaw rate, the radius of the path must increase and so the vehicle has a<br />

period of adjustment to a new, wider line in the curve. Most drivers notice<br />

this and instinctively reduce vehicle speed to restore the desired path over<br />

the ground. It is described subjectively as an ‘understeer departure’ or<br />

‘pushing’ or perhaps in the USA as ‘plowing’ (ploughing). If uncompensated,<br />

it leads to a vehicle departing the course (road, track, etc.) in an<br />

attitude that is basically forwards. This is by far the most common behaviour<br />

for road vehicles. It is desirable since, if the vehicle does leave the road,<br />

it is least likely to roll over and will correctly present the engineered crash<br />

structure between the occupants and any obstacles encountered. For sporty<br />

drivers the sensation of the vehicle ‘turning out’ of the corner as it departs<br />

from linearity can become tiresome.<br />

In scenario (b), lateral acceleration and yaw rate gain change in some connected<br />

manner and the vehicle will maintain course although it might need<br />

some modification to steering input. Subjectively this vehicle will be<br />

described as ‘neutral’ although objectively it might well be understeering.<br />

Excess speed for a curve will lead to the vehicle running wide but with no<br />

sense of ‘turning out of the curve’. Such a vehicle generally feels benign<br />

although the progressive departure can mean it is unnoticed by inattentive<br />

drivers. Enthusiastic drivers will not be so frustrated by this behaviour.<br />

In scenario (c), lateral acceleration gain reduces more than yaw rate gain. This<br />

leads to an ‘over-rotation’ of the vehicle when viewed in plan. Depending<br />

on the severity of the mismatch, the change may lead to a spin out of the<br />

curve. From inside the vehicle there is a pronounced sense of the rear end

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