FORSIN

Format
Arguments
Extended Definition
Examples

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.

Back to top

Extended Definition

The Fourier Sine series is defined:

where the functions T_j are defined as:

Tj (x-x₀) = sin {j**(x-x₀)}

The index j has a range from 1 to n, where n is the number of terms in the series.

Examples

FORSIN(TIME,-0.25, PI, 0, 1, 2, 3)

This function 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:

FORSIN = 0+SIN(*(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

Back to top