Adams Basic Package > Adams View > View Function Builder > Design-Time Functions > Functions: A - C > AZ

AZ

Returns the angular displacement from one coordinate system object to another, and accounts for angle wrapping.

Format

AZ (Object, Reference Frame)

Arguments

 
Object
Coordinate system object to which the angular displacement is measured.
Reference Frame
Coordinate system object from which the angular displacement is measured using a z-axis rotation.

symbol

Mathematically, AZ is calculated as follows (angle wrapping is accounted for):
where:
■ is the x-axis of the Object, O.
■ is the x-axis of the Reference Frame, R.
■ is the y-axis of the Reference Frame, R.

Example

In the following illustration, the AZ function returns the angle between the x-axes of marker_O and marker_R:
 
Function
AZ(marker_O, marker_R)
Result
35
 
Note:  
Because this function is independent of the rotation sequence, attempting y-axis and x-axis rotations in conjunction with it may return an output that doesn't make sense.
Tip:  
If you want to change the AZ function so it does not account for angle wrapping, use the MOD function. For example, use the function:
(MOD(AZ(.model_1.PART_1.MAR_2, .model_1.ground.MAR_1)+PI,2*PI)-PI)
The MOD function achieves the cyclic effect and the +PI and -PI shift the curve accordingly.