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Modelling and assembly of the full vehicle 335<br />

6.4.4 Swing arm model<br />

This model is developed from the equivalent roll stiffness mass model by<br />

using revolute joints to allow the suspensions for all four wheels to ‘swing’<br />

relative to the vehicle body rather than using the suspensions linked on<br />

an axle. The revolute joints are located at the instant centres of the actual<br />

suspension linkage assembly. These positions are found by modelling the<br />

suspensions separately as described in Chapter 4. The swing arm model has<br />

an advantage over the roll centre model in that it allows the wheels to<br />

change camber angle independently of each other and relative to the vehicle<br />

body. The swing arm model is shown schematically in Figure 6.9. Although<br />

in the sketch the swing arms are shown with an axis parallel to the vehicle<br />

axis this need not be so in general. Also, although in the sketch the swing<br />

arms are shown as a ‘plausible’ mechanical arrangement (i.e. not overlapping)<br />

this also need not be so; in general contact between elements is not<br />

modelled for vehicle dynamics studies and in general the instant centres are<br />

widely spaced and not necessarily within the physical confines of the vehicle<br />

body. The swing arm model has the advantage over the equivalent roll stiffness<br />

model in that the heave and pitch ride behaviour can be included.<br />

6.4.5 Linkage model<br />

The model based on linkages as shown in Figure 6.10 is the model that<br />

most closely represents the actual vehicle. This sort of vehicle model is the<br />

Fig. 6.10<br />

Linkage model ‘as is’ approach

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