Slope2Deviation

Class Name

Slope2Deviation

Description

Slope2Deviation computes the following value:(1)

a n s = {(1 - \frac{m}{m_{target}})}^{2}

where:

$m = \frac{y_{t_{2}} - y_{t_{1}}}{x_{t_{2}} - x_{t_{1}}}$ . 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 $t_{1} = t i m e - d e l t a$ . $m_{target}$ is the target value of slope.

Attribute Summary

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

Usage

# Slope2Deviation computes the square of the difference of slope wrt to a targetvalue
Slope2Deviation(numerator=’DZ(1,2)’, denominator=’DY(1,2)’, time=5, delta=0.1, 
        targetValue=targetValue)

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.
targetValue: Double; Desired value of the slope.

Optional attribute

label: String; Specifies the name of the Slope2Deviation object.; This attribute is optional. When not specified, MotionSolve creates a label for you.
scale: Double; Specifies the scale factor to scale the Slope2Deviation value. If not specified, it defaults to 1.0.; This attribute is optional.

Example

# Compute the deviation of the slope of TOE vs. DZ curve at design position (T=5) 
# from a desired value of -4° 
slope2 = Slope2 (
   label = "TOE/DZ ",  
   numerator = "1000*YAW(30701025,30701024)*RTOD",
   denominator = "DZ(30701024,30701025,10701021)",
   time = 5.0,
   delta = 0.1,
   targetValue = -4,
   )