Based on the study of curved surface forming technique of complicated tools
which was on the basis of movement principle of virtual axes with 6 arms
parallel mechanism with 3 arms was expanded. Consequently
the 5 DOF spindle head was obtained. Furthermore
an original series-parallel special machine with 7 DOF
which was based on the movement principle of virtual axes
was designed. Moving pose of the table and kinematic error of the arms were analyzed. A free turning around the center of the mechanism was additionally set up in this kind of structure. Therefore
it extended working space of the main spindle
and made up for limited working space of parallel mechanism. So it greatly improved the flexibility of the spindle head.