NUM 1020 - Page 103

Coordinate Conversions
en-938872/2 7 - 3
7
7.1 General
Coordinate conversions are made using a square matrix. This tools is used by the
NUM application for machining in an inclined plane.
The conversion of movements
r
X' = K.
r
X
is made downstream of the interpolators
by the matrix illustrated below.
Coordinate conversion matrix
X'
X
Kxy
Kzx
Kyy
Kyz Kzz
Kxx
Kzy
Kxy
Kxz
Y'
Y
Z'
Z
REMARK The travels are checked and the speed and acceleration are limited
upstream, when the interpolations are prepared.
7.2 Using the Coordinate Conversion Matrix
The coordinate conversion matrix uses the programming syntax given below. This
syntax includes the matrix enabling function followed by coefficients P, Q and R
separated by «/» (these coefficients are normed to 1).
Syntax
N.. G24+ X.. Y.. Z.. P(Kxx)/(Kyx)/(Kzx) Q(Kxy)/(Kyy)/(Kzy) R(Kxz)/(Kyz)/(Kzz)
G24+ Coordinate conversion matrix enabling function.
X.. Y.. Z.. Conversion matrix reference system origin.
P(Kxx)/(Kyx)/(Kzx) Matrix X coefficients.
Q(Kxy)/(Kyy)/(Kzy) Matrix Y coefficients.
R(Kxz)/(Kyz)/(Kzz) Matrix Z coefficients.