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194 Multibody Systems Approach to Vehicle Dynamics<br />

While the approximate method produces usefully accurate results for this<br />

simplified model, when a real suspension system is analysed in MSC.ADAMS<br />

using the same method (eigenvalues predicted by the ADAMS/Linear<br />

product) using the same data but including real wishbone and elastomer<br />

geometry, the results can be seen to be somewhat different.<br />

The first and most obvious source of error is the use of the spring rate<br />

directly from the detailed model in the simplified 2 DOF models. In the literal<br />

model, as in the real vehicle, the motion of the wheel does not directly<br />

correspond to the motion of the spring. Using the model, the so-called<br />

‘motion ratio’ can be examined between spring and wheel. It can be seen<br />

(Figure 4.59) that the spring changes length by 1.43 mm for every 1 mm of<br />

Figure 4.58 MSC.ADAMS prediction of the modes of vibration for the full<br />

linkage quarter vehicle model with elastomers and individual component mass<br />

and inertia data. Primary ride mode (top left) 0.95 Hz. Wheel hop mode (top<br />

right) 10.78 Hz. Fore–aft compliance mode (bottom left) 17.35 Hz. Unsprung<br />

mass lateral mode (bottom right) 47.31 Hz<br />

305.0<br />

case4<br />

Spring length (mm)<br />

295.0<br />

285.0<br />

275.0<br />

265.0<br />

255.0<br />

245.0<br />

235.0<br />

225.0<br />

215.0<br />

SPRING_2324.Translational_Displacement.Z<br />

205.0<br />

100.0 50.0 0.0 50.0 100.0<br />

Analysis: Last_Run<br />

Wheel travel (mm)<br />

2003-08-05 00:11:16<br />

Fig. 4.59<br />

Spring motion with respect to wheel motion from the model

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