Page 491 - Automotive Engineering Powertrain Chassis System and Vehicle Body
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Modelling and assembly of the full vehicle   C HAPTER 15.1


            Table 15.1-2 Example MSC.ADAMS command statements for an empricial mean-state turbocharger
















































             In this example the variable throttle runs from –0.3 to  where
           1.0 to simulate overrun torque. The variable boost_
           throttle is a clipped version from 0 to 1.0 since no  K ¼ a constant which is tuned to stabilize the torque
           turbocharger boost is available on overrun. Throttle_  Vs ¼ the desired velocity for the simulation
           derivative is the first time derivative of throttle. All the  Va ¼ the forward velocity of the vehicle, which can
           other variables (varvals) are retrieved from the relevant  be obtained using a system variable
           curves (splines) plotted in Fig. 15.1-35.
             The delays inherent in a torque converter are amenable  The purpose of the STEP FUNCTION is to define
           to such modelling techniques using typical torque con-  a change of state in the expression that is continuous.
           verter characteristic data in a similar empirical manner.  The step function can be used to factor a force function
             Once the physical elements of the system are mod-  by ramping it on over a set time period. In this case the
           elled, the task of modelling the driver behaviour is largely  driving torque is being switched on between time ¼ 0 and
           similar to that for path following described later. In order  time ¼ 1 second. This is important because it is necessary
           to represent, for example, the effect of a driver using the  to perform an initial static analysis of the vehicle at
           throttle to maintain a steady velocity through a manoeu-  time ¼ 0when Va ¼ 0 and the torque must not act.
           vre a controller can be developed to generate the torque  As can be seen a ‘reference’ (desired) state is needed,
           shown in Fig. 15.1-34.                             an error term is defined by the difference between the
             A simple but workable solution is to model the driving  current state and the reference state and finally, responses
           torque T, with the following formulation:          to that in terms of throttle or brake application to adjust
                                                              the speed back towards the reference value. There are two
                            *
                   *
             T ¼ K ðVs   VaÞ STEPðTime; 0; 0; 1; 1Þ  (15.1.21)  possible approaches; the simplest provides a speed ‘map’

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