Slope2

Class Name

Slope2

Description

Slope2 computes the following value:(1)

m = \frac{y_{t_{2}} - y_{t_{1}}}{x_{t_{2}} - x_{t_{1}}}

where:

y(numerator) and x(denominator) are defined by a valid MotionSolve expression and calculated at time $t_{1}, t_{2}$ , where $t_{2} = t i m e + d e l t a$ and $t_{1} = t i m e - d e l t a$ .

Attribute Summary

Name	Property	Designable
label	Str ()
numerator	Function ()	Yes
denominator	Function ()	Yes
time	Double ()
delta	Double ()
interval	Double ()
scale	Double (1)

Usage

#   Slope 2 computes the slope of two signals at different instants:
#     m = (numerator@t2 - numerator@t1) / (denominator@t2 - denominator@t1)
Slope2 (numerator=’DZ(1,2)’, denominator=’DY(1,2)’, time=5, delta=0.1)

Attributes

Mandatory attributes.

numerator: Function; Valid MotionSolve expression defining the numerator.; It will be calculated at t1 and t2 before computing the slope, where t1 = time – delta and t2 = time + delta.
denominator: Function; Valid MotionSolve expression defining the denominator.; It will be calculated at t1 and t2 before computing the slope, where t1 = time – delta and t2 = time + delta.
time: Double; Instant at which the slope is calculated.; The numerator and denominator will be calculated at t1 and t2 to compute the variation, where t1 = time – delta and t2 = time + delta.
delta: Double; The perturbation step for the variation of numerator and denominator.; The numerator and denominator will be calculated at t1 and t2 to compute the variation, where t1 = time – delta and t2 = time + delta.

Optional attributes.

label: String; Specifies the name of the Slope2 object.; This attribute is optional. When not specified, MotionSolve creates a label for you.
interval: Double; Interval between which the numerator and denominator is averaged.; The numerator and denominator are evaluated at t1 and t2 in order to compute the slope. The signal is averaged between t1/t2 – interval and t1/t2 + interval for evaluation. The interval would be delta/100 by default.
scale: Double; Specifies the scale factor to scale the Slope2 value. If not specified, it defaults to 1.0.; This attribute is optional.

Example

# Compute the slope of TOE vs. DZ curve at design position (T=5)
slope2 = Slope2 (
   label = "TOE vs DZ",  
   numerator = "1000*YAW(30701025,30701024)*RTOD",
   denominator = "DZ(30701024,30701025,10701021)",
   time = 5.0,
   delta = 0.1,
   )