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334 Multibody Systems Approach to Vehicle Dynamics<br />

Note that this model shows the historical background to much of the current<br />

unclear thinking about roll centres and their influence on vehicle<br />

behaviour. With beam axles, as were prevalent in the 1920s, this model is a<br />

good equivalent for looking at handling behaviour on flat surfaces and<br />

ignoring ride inputs. For independent suspensions where the anti-roll geometry<br />

remains relatively consistent with respect to the vehicle and where the<br />

roll centres are relatively low (i.e. less than around 100 mm for a typical passenger<br />

car) – a fairly typical double wishbone setup, for example – then this<br />

approximation can be useful despite its systematic inaccuracy. However,<br />

drawing general conclusions from such specific circumstances can be dangerous;<br />

vehicles which combine a strut suspension at one end (with very<br />

mobile anti-roll geometry) and double wishbone at the other (with relatively<br />

constant anti-roll geometry) may not be amenable to such simplifications.<br />

With this and all other simplified models, the analyst must consider<br />

whether or not the conclusions that are drawn reflect upon the simplification<br />

adopted or actually reveal some useful insight. The case study presented at<br />

the end of the chapter shows a vehicle that behaves acceptably when modelled<br />

in this way.<br />

Spring<br />

damper<br />

Spring<br />

damper<br />

Rear right<br />

swing arm<br />

Spring<br />

damper<br />

REV<br />

REV<br />

REV<br />

Rear left<br />

swing arm<br />

REV<br />

Spring<br />

damper<br />

REV<br />

REV<br />

Front right<br />

swing arm<br />

and wheel knuckle<br />

Front left<br />

swing arm<br />

and wheel knuckle<br />

Fig. 6.9<br />

Swing arm model approach

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