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STEP5

The STEP5 function provides approximation to the Heaviside step function with a quintic polynomial. It has continuous first and second derivatives. Its third derivative is discontinuous at x=x0 and x=x1.

Format

STEP5 (x, x0, h0, x1, h1)

Arguments

 
x
The independent variable.
x0
A real variable that specifies the x value at which the STEP5 function begins.
x1
A real variable that specifies the x value at which the STEP5 function ends.
h0
The initial value of the step.
h1
The final value of the step.

Extended Definition

The figure shown next illustrates the STEP5 function.
STEP5 Function
The equation defining the STEP5 function is:
= h1 - h0
 = (x - x0)/(x1 - x0)

Examples

MOTION/1, JOINT=21, TRANSLATION
, FUNCTION=STEP5(TIME, 1, 0, 2, 1)
This MOTION statement defines a smooth step function from TIME=1 to TIME=2 with a displacement from 0 to 1.
See other General available.