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142 Multibody Systems Approach to Vehicle Dynamics<br />

A final, important element of the study of handling load transfer is one that<br />

allows a single, unified treatment but rarely receives it. The notions of antidive/squat<br />

and ‘roll centre’ are rarely discussed together and yet their influence<br />

on vehicle handling loads is via the same mechanism; they lend<br />

themselves to the consistent rational treatment given here. The so-called<br />

‘roll centre’ concept has to be one of the most non-intuitive and misunderstood<br />

modifiers of vehicle behaviour since empirically observed in racing<br />

circles in the 1920s. The understanding developed then is most applicable<br />

to beam axles and adds more difficulty than clarity for independent suspensions.<br />

The authors prefer the concept of ‘sprung’ and ‘unsprung’ loadpaths<br />

to the vehicle body.<br />

Figure 4.8 shows a single wheel of an independently suspended vehicle<br />

viewed from the side. A braking load is applied at the contact patch, reflecting<br />

the fitment of outboard brakes as is common practice. Were the brakes<br />

inboard or were this a tractive case, the load would be applied at the wheel<br />

hub height and the diagrams would be redrawn appropriately. In this case<br />

the suspension is of a leading arm type. Since all independent suspensions<br />

may be represented as some form of equivalent length virtual swinging arm<br />

(although the length and pivot location vary with some types more than<br />

others) this is a useful notion.<br />

Three different orientations for the swinging arm are shown. The first has<br />

the swinging arm pivot on a direct line between the contact patch and the<br />

(a)<br />

(b)<br />

<br />

Notional pitched<br />

geometry<br />

(c)<br />

<br />

<br />

Nominal<br />

ground<br />

Fig. 4.8 (a) No-dive suspension – pitch moment transfer solely via an<br />

unsprung loadpath. (b) Pitch moment transfer solely via a sprung loadpath.<br />

(c) Typical arrangement; pitch moment carried by a combination of sprung<br />

and unsprung loadpaths

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