Mill and Shank Calculation - DBE, Drawings

Contents

1. Part I Calculation of shaped capped cutter.. 3 pages

1.1 Initial data... 3 pages

1.2 Determination of mill diameter... 3 pages

1.3 Determination of chip groove bottom shape.... 4 pp

1.4 Determination of number of milling teeth. 4 pages

1.5 Determination of cross section profile of chip groove.. 4 page

1.6 Determination of tooth position relative to mill axial plane4 pts

1.7 Determination of the rear angles at different points of the cutter profile in planes perpendicular to the cutter axis.. 5 pages

1.8 Determination of the front angles at different points of the cutter profile in planes perpendicular to the cutter axis... 6 pages

1.9 Determination of trailing angles at different points of mill profile in planes perpendicular to tooth cutting edge... 6 pages

1.10 Determination of leading angles at different points of cutter profile in planes perpendicular to cutting edge 7 pts

1.11 Determination of height dimensions of the profile in the front planes of the mill tooth... 8 pages

1.12 Determination of height dimensions of cutter billet profile in its axial plane.8 pts

1.13 Check of mandrel diameter for strength.. 9 pages

2. Part II. Calculation and design of tooth-cutting lobe11 pp

2.1 Initial data 11 p

2.2 Number of shoulder teeth... 11 pages

2.3 Dividing diameter of circumference 11 p

2.4 Theoretical diameter of the main circumference 11 p

2.5 Lateral rear angle in the plane parallel to the shank axis... 11 pp

2.6 Diameter of the outer circumference of the shoulder in the initial section... 11 pages

2.7 Tooth thickness on dividing circle along normal in initial section.11 p

2.8 Pressure angle on tooth head 12 pp

2.9 Tooth thickness at the apex in the initial section12 pts

2.10 Machine-tool angle of hooked chisel engagement ensuring absence of cutting and incomplete processing of wheel teeth tops by non-evolute part of chisel tooth profile 12 pts

2.11 Maximum negative initial distance of maximum drained lobe12 pp

2.12 Machine angle of engagement of the new shoulder, which determines the full treatment of the working part of the wheel tooth profile. 12 pp

2.13 Positive initial distance determining full treatment of the working part of the wheel tooth profile... 13 pts

2.14 Design rear angle along top of lobe.13 pps

2.15 Initial distance limited by shingle tooth sharpening... 13 pp

2.16 Maximum possible amount of shoveling along its axe.13 pp

2.17 Accepted positive initial distance a0.....................................................................................................................................................................................................................................................................................

2.18 Machine engagement angle of new lobe 13 pts

2.19 Outer diameter of the new shoulder... 13 pp

2.20 Lathe angle of engagement of the extreme strut... 13 pp

2.21 Refined rear angle along the top of tooth dolbyak.13 pp

2.22 Accepted height of lobe14 pps

2.23 Tooth thickness on dividing circumference according to normal.. 14 pp

2.24 Height of shoulder tooth head on front surface... 14 pp

2.25 Total height of the shoulder tooth... 14 pp

2.26 Adjusted end profile angle of shoulder to reduce distortion of wheel profile due to presence of front and rear angles... 14 pts

2.27 Diameter of the main circumference of the shoulder when grinding its profile... 14 pages

2.28 Mounting dimensions of the chisel in accordance with the passport data of the dental machine 14 pts

Defines the shape of the bottom of the chip groove.

Chip groove must:

be sufficient to accommodate chips;

if possible, do not cause a reduction in the number of permissible flips of the milling mill teeth;

be easy to manufacture and ensure minimum fluctuation of tooth height along its length.

For a given profile of the workpiece, it may be considered acceptable to position the bottom of the chip groove parallel to the cutter axis.

Based on the available data on the tooth of the cutter, we have:

Nmin = k + r + 1 = 4 + 2 + 1 = 7 mm; Hmax = 28 mm.

Defines the number of milling cutter teeth.

Tooth width at the base: b = (0.8 sound1.0) Hmax = 0.8· 28 = 22.4 mm.

We find the value of the circular pitch from the constraint: b≈2/3S׳okr.

S׳okr=3/2b=3/222,4=33,6 mm.

Number of teeth: z = (i (D2h) )/( S׳okr) = (3.14 (1602∙21) )/33.6 = 11.03.

By rounding to the nearest integer we get z = 11.

Defines the cross-sectional profile of the chip groove.

The angle of the depression between the teeth is [theta] = (3600/z) _ (-5) ^ (+ 10) = 32.70.

Given the standard series of cases: 180, 220, 250, 300, we finally accept: [theta] = 300. This angle corresponds to z = 12 teeth.

Recommended values of rounding radius of bottom of cavity between teeth r are selected from 1 to 5 mm.

In our case, we leave the pre-accepted average value unchanged: r = 2 mm.