The forming mechanism and the effect of toolspacing angles of multi-corner profiled holes are studied theoretically and experimentally, using a variety of spacing type of reamers. In case of the uneven-spaced tool, the imaginary number of teeth (
Zi=360°/α
L), which is given by 360° divided the G. C. M. angle (α
L) of neighboring angles among the teeth, has significant influence on the multicornered shape of machined hole section. Theoretically the imaginary number of teeth and the number of corners of profile generated by the
Zi-teethed tool increase, as the G. C. M. angle become smaller, but in practical reaming, special unevenspace, six-teethed tools, having more than 12° of α
L, can act as
Zi-tool. In particular, the tool with α
L=15° usually acts as the even-space, twenty-four teethed tool under various cutting conditions and twenty-five cornered shape is produced, and variable component of burnishing torque is small during cutting. The roundness error of the shape is much smaller than that of the even-spaced tool. The rigidity of tool shank also affects on the improvement of roundness error. When using the high rigidity tool, multi-cornered profile is not observed on the profile-diagram recorded by the roundness measuring instrument.
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