
10.TOOL FUNCTION B-63783EN-1/01
- 1142 -
2
e
is defined as follows. Note that
T
Ve ⊥
2
.
ú
ú
ú
û
ù
ê
ê
ê
ë
é
−
=
−
0
cos
sin
)(
1
022 B
B
R
R
NaROTe
α
where
A
R
: reference angle of the tool axis (RA) (parameter
No. 6106) and
B
R
: reference angle of the tool axis (RB) (parameter No.
6107)
The unit vector
3
e
satisfying
T
Ve ⊥
3
and
23
ee ⊥
may be given by
the following outer product calculation:
23
eVe
T
×=
(3) Definition of coordinate system C2
Coordinate system C2 {O;
2
e
,
3
e
,
1
e
} is an Cartesian
coordinate system having
O = (0,0,0) as its origin and the following unit vectors as its
basic vectors:
2
e
3
e
T
Ve =
1
Coordinate system C2
Z
X
Coordinate system C1
P’
R’
e
2
e
1
=V
T
D
Q’
e
3
e
2
P''
Q''
R''
'
e
3
(4) Coordinate system conversion matrix for conversion from
coordinate system C1 to coordinate system C2
The coordinate system conversion matrix for conversion
from coordinate system C1 to coordinate system C2 is
represented by the following formula:
ú
ú
ú
û
ù
ê
ê
ê
ë
é
=
1
3
2
e
e
e
N
On the other hand, the coordinate system conversion matrix
for conversion from coordinate system C2 to coordinate
system C1 is represented by the following formula, using an
inversion matrix: