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Simulation output and interpretation 423<br />

a<br />

a<br />

b<br />

b<br />

c<br />

c<br />

Fig. 7.27<br />

Dynamic Index influences the centre of rotation of the vehicle in yaw<br />

vehicle is cornering at the critical slip angle, it can be seen that a DI less<br />

than unity will increase the rear slip angle and therefore reduce the cornering<br />

force available at the rear axle – promoting the tendency to spin. Low<br />

yaw inertia does indeed promote agility and speed of response, but excessively<br />

low inertia – as quantified by DI – makes the car difficult even for<br />

skilled drivers to manage in yaw. There is thus a trade-off between<br />

response and ease of control; for a broad spectrum of vehicles from the Mk<br />

1 Lotus Elan to the BMW M5, this trade-off is a DI of just over 0.9.<br />

Motorsport vehicles differ significantly from road cars and the exact figures<br />

are jealously guarded. It can be seen with some reflection that a lowmass<br />

mid-engined car errs towards a DI that is ‘too low’ since the wheels<br />

have to be a certain distance from each other to accommodate engine and<br />

passengers. The interested reader is invited to compare the mass and<br />

wheelbase of a Fiat X/1-9 and an MG-F.<br />

In general, an important goal for vehicle dynamicists is to have the vehicle<br />

‘look after itself’ from a body slip angle point of view. Most drivers have<br />

no conscious knowledge of body slip angle and beta-dot until they become<br />

large. The authors estimate that a body slip rate of less than around<br />

5 degrees/second is probably the threshold between subconscious and<br />

conscious awareness of body slip rate, but this is necessarily extremely<br />

sensitive to context. This means that a body slip angle of 5 degrees or more<br />

can develop more or less unnoticed by a typical driver. In general, body slip<br />

angles of greater than 10 degrees are difficult for the majority of the driving<br />

population to recover control from, and so 5 degrees represents something<br />

‘halfway to irrecoverable’. When the body slip rate and/or angle exceeds<br />

some threshold, drivers suddenly become aware that something is amiss<br />

and so they report that vehicles ‘abruptly’ skid because the event was well<br />

developed before they recognized it. For this reason, an unexpected skid<br />

during otherwise normal driving can be surprisingly traumatic and leave<br />

people with a large amount of anxiety since they felt ‘ambushed’ by the<br />

vehicle. Drivers become sensitized and acclimatized to variations in body<br />

slip rate and angle through familiarity and for this reason, skid pan training<br />

for normal drivers is an excellent idea.

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