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174 Multibody Systems Approach to Vehicle Dynamics<br />

suspension without a roll bar C 3,9 would be zero in the absence of any<br />

mechanical coupling between the left and right suspension systems. The<br />

other elements of the compliance matrix are defined similarly.<br />

As stated the compliance matrix approach is well suited to investigate the<br />

effects of suspension movement due to compliance. By way of further<br />

example consider the definition used in ADAMS/Car for the calculation of<br />

Aligning torque Steer and camber compliance.<br />

The aligning torque steer compliance is the change in steer angle due to<br />

unit aligning torques applied through the wheel centres. Similarly the<br />

aligning torque camber compliance is the change in camber angle due to<br />

unit aligning torques acting through the wheel centres.<br />

Figure 4.33 illustrates the determination of steer angle resulting at the right<br />

wheel due to unit aligning torques acting through both the left and right<br />

wheel centres. Note that the usual symbol for steer angle is . For the<br />

Left wheel<br />

centre<br />

Tz LW<br />

Right wheel<br />

centre<br />

Z<br />

Tz RW<br />

Az RW<br />

X<br />

Y<br />

Fig. 4.33 Steer angle at right wheel due to aligning torques at left and<br />

right wheels<br />

Ax RW<br />

Left wheel<br />

centre<br />

Tz LW<br />

Right wheel<br />

centre<br />

Z<br />

Tz RW<br />

X<br />

Y<br />

Fig. 4.34 Camber angle at right wheel due to aligning torques at left and<br />

right wheels

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