SHF

The SHF function evaluates a simple harmonic function at a specific value x .

Format

SHF ( x , x 0 , A , ω , ϕ , y ¯ )

Example

<Motion_Joint
       id              = "301001"
       type            = "EXPRESSION"
       val_type        = "D"
       expr            = "SHF(TIME,0,2,2,0,0)"
       joint_id        = "10003"
       joint_type      = "R"/>

Arguments

x
Any valid expression used as an independent variable for the Simple Harmonic Function (SHF). For example, to use the z-displacement of I marker with respect to the J marker as resolved in the reference frame of the RM marker as the independent variable, specify x as DZ({marker_i.idstring}, {marker_j.idstring}, {marker_rm.idstring}).
x 0
The independent variable offset.
A
The amplitude of the simple harmonic function.
ω
The frequency of the simple harmonic function. It is assumed to be specified in radians per unit of the independent variable unless a D is used after the value.
ϕ
A phase shift in the simple harmonic function. It is assumed to be in radians unless a D is used after the value.
y ¯
The average value of the simple harmonic function.

Definition

SHF = A sin ( w ( x x 0 ) ϕ ) + y ¯