Simple Harmonic (SHF)
Evaluates a simple harmonic function.
Format
SHF (x, Shift, Amplitude, Frequency, Phase Shift, Average Value of Displacement)
Arguments
x | Real variable that specifies the independent variable. |
Shift or x0 | Real variable that specifies the offset in the independent variable x. |
Amplitude or a | Real variable that specifies the amplitude of the harmonic function. |
Frequency or  | Real variable that specifies the frequency of the harmonic function. It is assumed that  is in radians per unit of the independent variable unless you use a D after the value for degrees. |
Phase Shift or phi | Real variable that specifies a phase shift in the harmonic function. Adams assumes that phi is in radians unless you use a D after the value. |
Average Value of Displacement or b | Real variable that specifies the average value of displacement of the harmonic function. |
Equation
Mathematically, SHF is defined as follows:
SHF = a*SIN(
*(x-x0)-phi)+b
*(x-x0)-phi)+bwhere:
■x = Independent variable
■x0 = Shift
■
= Frequency
= Frequency ■phi = Phase Shift
■a = Amplitude
■b = Average Value of Displacement
Example
The following example illustrates the use of the SHF function:
SHF(TIME, 25D, PI, 360D, 0, 5)
The following function defines the harmonic function:
SHF = 5+PI*SIN(360D*(TIME-25D))
In the function:
■x = TIME
■x0 = 25 degrees
■
= 1 cycle (360D)
= 1 cycle (360D) ■phi = 0
■a = PI
■b = 5