Maybe I can help a little on this subject.

 In 5-axis machining the 4th and 5th axes are controlled in coordinated
moves with the x, y, and z axes.
For both configurations, tilting and rotating spindle or tilting and
rotating tables, the CAM program must create the correct GCODE for all the
axes in each block to control the position of the tool tip as well as its
orientation. In that way the tool can, for instance, be kept normal to the
surface you are cutting with a flat end mill, or it can be guided into the
spaces between the blades of a turbo impeller if you are cutting with a ball
nose cutter. Some CAM programs create a position and orientation vector for
each block, and the post-processor then converts into GCODE appropriate for
your 5-axis machine setup, head or table. Others create it directly based on
the machine type you select.

If the A and C axes are preset or indexed and then x, y and z axes are
moved,  then trivkins can be used in a  milling machine fitted with two
extra axes on the head or the table. For fully coordinated moves to cut
general surfaces you need 5-axis kinematics. For robots with rotational
joints kinematics are always needed to go from joint to world coordinates.

Rudy du Preez


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