WZ
The WZ function returns the z-component of the difference between the angular velocity vector of marker i in ground and the angular velocity vector of marker j in ground, and expressed in the coordinate system of marker k. Marker j defaults to the global coordinate system if it is not specified. Similarly, marker k defaults to the global coordinate system if it is not specified.
Format
WZ(i[,j][,k])
Arguments
i | The marker whose velocity is being measured. |
j | The marker with respect to which the velocity is being measured. Set j = 0, while still specifying l, if you want j to default to the global coordinate system. |
k | The marker in whose coordinate system the velocity vector is being expressed. Set k = 0 if you want the results to be calculated along the z-axis of the global coordinate system. |
Extended Definition
Mathematically, WZ is calculated as follows:
where:
■
is the angular velocity vector of marker i in ground.
is the angular velocity vector of marker i in ground.■
is the angular velocity vector of marker j in ground.
is the angular velocity vector of marker j in ground.■
is the unit vector along the z-axis of marker k.
is the unit vector along the z-axis of marker k. Examples
MARKER/1236, QP=4,6,7 EU=90D,90D,90D, PART=23
MARKER/2169, PART=16
REQUEST/16
,F1=WM(1236,2169)/
,F2=WX(1236,2169,2169)/
,F3=WY(1236,2169,2169)/
,F4=WZ(1236,2169,2169)
MARKER/2169, PART=16
REQUEST/16
,F1=WM(1236,2169)/
,F2=WX(1236,2169,2169)/
,F3=WY(1236,2169,2169)/
,F4=WZ(1236,2169,2169)
In its fourth column, REQUEST/16 contains the z-component of the angular velocity Markers 1236 and 2169 as measured in the coordinate system of Marker 2169. See other Velocity available.