The present invention provides a five-simultaneously-working axis computerized numerical controlling system tooth cutting machine tool for toroidal worms, comprising two parts a body of the machine tool and a controlling cabinet. The body comprises a bed, a spindle box with a spindle, a longitudinal sliding table, a traverse slider, a vertical guideway mounted on the slider and a tailstock, a cutter rest that supports a rotating cutter head is mounted on the vertical guideway. The spindle rotates about A-axis thereof, the table longitudinally slides along Y-axis relative to the bed, the cutter head rotates about B-axis thereof and transversely shifts X-axis as well as the cutter head makes up or down shift along Z-axis of the vertical guideway. The controlling cabinet is equipped with the programs for controlling spindle rotation and for controlling the shifting along longitudinal, transverse and vertical directions as well as the rotation of the cutter head so as to make the rotation about or the shifts along five axes of A, B, Y, X and Z have simultaneously work together to control the shifting of the cutting edges of the cutter on the cutter head and simulate the rotating motion of an inclined plane in space in order to envelop cut the tooth flanks of plane enveloping toroidal worms. The effect of this invention shows that the rotating speed of cutter shaft and workpiece shaft can make the cutting velocity up to 200 m/min, and the working efficiency is six to seven times higher than that of worm grinding, the productivity can greatly be improved.
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