Helical interpolation, 5 p a th cont ours—p o lar coor dinat e s – HEIDENHAIN TNC 320 (340 55x-05) ISO programming User Manual
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Programming: Programming Contours
6.5 P
a
th Cont
ours—P
o
lar Coor
dinat
e
s
Helical interpolation
A helix is a combination of a circular movement in a main plane and a 
linear movement perpendicular to this plane. You program the circular 
path in a main plane.
A helix is programmed only in polar coordinates.
Application
Large-diameter internal and external threads
Lubrication grooves
Calculating the helix
To program a helix, you must enter the total angle through which the 
tool is to move on the helix in incremental dimensions, and the total 
height of the helix.
For calculating a helix that is to be cut in an upward direction, you need 
the following data:
Shape of the helix
The table below illustrates in which way the shape of the helix is 
determined by the work direction, direction of rotation and radius 
compensation.
Y
X
Z
CC
Thread revolutions n
Thread revolutions + thread overrun at 
thread beginning and end
Total height h
Thread pitch P times thread revolutions n
Incremental total 
angle H
Number of revolutions times 360° + angle for 
beginning of thread + angle for thread 
overrun
Starting coordinate Z
Pitch P times (thread revolutions + thread 
overrun at start of thread)
Internal thread
Work 
direction
Direction of 
rotation
Radius 
comp.
Right-handed
Left-handed
Z+
Z+
G13
G12
G41
G42
Right-handed
Left-handed
Z–
Z–
G12
G13
G42
G41
External thread
Right-handed
Left-handed
Z+
Z+
G13
G12
G42
G41
Right-handed
Left-handed
Z–
Z–
G12
G13
G41
G42
