FORSIN
The FORSIN function evaluates a Fourier Sine series at a user specified value x. x0,a0,a1,...,a30 are parameters used to define the constants for the Fourier Sine series.
Format
FORSIN (x, x0,w,a0,a1,...,a30)
Arguments
x | A real variable that specifies the independent variable. For example, if the independent variable in the function is time, x is the system variable TIME. |
x0 | A real variable that specifies a shift in the Fourier Sine series. |
w | A real variable that specifies the fundamental frequency of the series. Adams Solver (FORTRAN) assumes  is in radians per unit of the independent variable unless you use a D after the value. |
a0 | A real variable that defines the constant bias term for the function. |
a1,...,a30 | The real variables that define as many as thirty-one coefficients for the Fourier Sine series. |
Extended Definition
The Fourier Sine series is defined:
where the funtions Tj are defined as:
Tj (x-x0) = sin {j*
*(x-x0)}
*(x-x0)}The index j has a range from 1 to n, where n is the number of terms in the series.
Examples
MOTION/1, JOINT=21, TRANSLATION,
, FUNCTION=FORSIN(TIME,-0.25, PI, 0, 1, 2, 3)
, FUNCTION=FORSIN(TIME,-0.25, PI, 0, 1, 2, 3)
This MOTION statement defines a harmonic motion as a function of time. The motion has a -0.25 second shift, a fundamental frequency of 0.5 cycle (
radians or 180 degrees) per time unit, and no constant value. The function defined is:
radians or 180 degrees) per time unit, and no constant value. The function defined is:FORSIN = 0+SIN(
*(TIME+0.25))
+2*SIN(2
*(TIME+0.25))
+3*SIN(3
*(TIME+0.25))
*(TIME+0.25))+2*SIN(2
*(TIME+0.25))+3*SIN(3
*(TIME+0.25))The curve is shown next.
Curve of a Harmonic Motioned Defined by FORSIN
See other General available.