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360 Multibody Systems Approach to Vehicle Dynamics<br />

Torque (Nm)<br />

Dimensionless<br />

450<br />

400<br />

350<br />

300<br />

250<br />

200<br />

150<br />

100<br />

50<br />

0<br />

10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

0<br />

Fig. 6.35<br />

Boost torque<br />

NA torque curve<br />

Total torque<br />

0 1000 2000 3000 4000 5000 6000 7000<br />

Engine speed (rpm)<br />

k1<br />

k2<br />

1000 2000 3000 4000 5000 6000 7000<br />

Engine speed (rpm)<br />

Empricial mean-state turbocharger model<br />

The delays inherent in a torque converter are amenable to such modelling<br />

techniques using typical torque converter characteristic data in a similar<br />

empirical manner.<br />

Once the physical elements of the system are modelled, the task of modelling<br />

the driver behaviour is largely similar to that for path following<br />

described later. In order to represent, for example, the effect of a driver using<br />

the throttle to maintain a steady velocity through a manoeuvre a controller<br />

can be developed to generate the torque shown in Figure 6.34.<br />

A simple but workable solution is to model the driving torque T, with the<br />

following formulation:<br />

T K *(Vs Va) * STEP (Time, 0, 0, 1, 1) (6.21)<br />

where<br />

K a constant which is tuned to stabilize the torque<br />

Vs the desired velocity for the simulation<br />

Va the forward velocity of the vehicle, which can be obtained using a<br />

system variable

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