Slope

Captures the slope of the curve derived from two expressions at a particular instance of time.

Expression (as shown in the image below) forms the Y-axis of the curve while the w.r.t. Expression forms the X-axis of the curve.


Figure 1. Response Type – Slope
Input Description
Expression
Expression
Choose this option to enter a solver expression that will be evaluated to get ordinate values for a curve.
Curve
Choose this option to provide model curve that will be used to get ordinate values for a curve. Select AKIMA, CUBIC, LINEAR or QUINTIC under Interpolation and specify an expression for Independent variable.
w.r.t. Expression
Expression
Choose this option to enter a solver expression that will be evaluated to get abscissa values for a curve.
Curve
Choose this option to provide model curve that will be used to get abscissa values for a curve. Select AKIMA, CUBIC, LINEAR or QUINTIC under Interpolation and specify an expression for Independent variable.
Time The simulation time at which the slope of curve (which is derived using Expression as ordinate and w.r.t. Expression as abscissa) is desired.
∆t Typically a small time value that is used to pick two points (one at Time+∆t and other at Time-∆t) on the derived curve for calculating its slope.
Interval A ‘Time Tolerance’ value used by four ‘At Time’ responses (in other words, two responses for Expression and two for w.r.t. Expression) that are generated internally to obtain the two points on a derived curve.

In the above example, the response variable computes the slope of curve with Roll position (Ride Camber) plotted on its Y axis and marker’s relative displacement in Z (Full Jounce) plotted on its X axis at a time value of 2.4.