ValueAtG

Computes the value of a signal f (t) when second signal, g (t), achieves a certain value.

Example

Assume that you wish to compute the steer angle difference in a suspension when the steering wheel angle is 10°.

The Steer Angle Difference for a suspension is defined as:

Steer Angle Difference = Yaw(Left-wheel) - Yaw(right-wheel)

= Yaw(33,22) - Yaw(55,44)

The steering wheel angle is defined as:

Steering Wheel Angle = AZ(77,66)

Here is a code snippet that will compute the steer angle difference when the steering wheel angle is 10°.

>>> val = ValueAtG (label   = "Steer Angle Difference at Zero Steering Wheel Angle",
                    fsignal = "RTOD* (YAW(33,22) - YAW(55,44))",
                    gsignal = "RTOD * AZ(77,66)",
                    gvalue  = 10,
                    delta   = 1e-1,
                   )

The calculation in ValueAtG is implemented for this example as:(1)

\begin{array}{l} f(t)  = fsignal \\ δ (t)  = Step (gsignal, gvalue-delta, 0, gvalue, 1) + \\ Step (gsignal, gvalue, 1, gvalue+Delta, 0) - 1 \\ response = \frac{\int_{t o}^{t f} f(t) δ (t) dt}{\int_{t o}^{t f} δ (t) dt} \end{array}

$\begin{array}{l} f(t) = fsignal \\ δ (t) = Step (gsignal, gvalue-delta, 0, gvalue, 1) + \\ Step (gsignal, gvalue, 1, gvalue+Delta, 0) - 1 \\ response = \frac{\int_{t o}^{t f} f(t) δ (t) dt}{\int_{t o}^{t f} δ (t) dt} \end{array}$