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Ball mill: comb height and effective diameter

How large will the comb be, and what speed should I use with the ball mill?

Answer: In fine milling of a surface with a ball mill cutter, each pass leaves a small ridge. Ridge height depends on the ball's radius and the side offset (stepover). At the same time, the ball cutter only cuts with a smaller diameter when the cutting depth is small, so the number of revolutions must be worked out from the effective diameter. The calculator gives the ridge height, the stepover that gives a desired ridge height, and the number of revolutions for your cutting speed.

Formula

Kamhøjde h = R − √(R² − (stepover ÷ 2)²), R = Dc ÷ 2

Stepover for ønsket h = 2 × √(h × (Dc − h))

Effektiv diameter De = 2 × √(ap × (Dc − ap)) ved ap < Dc ÷ 2

n = Vc × 1000 ÷ (π × De)

Symbols and units in the formula
SymbolMeaningUnit
dcBall mill diameter Dcmm
stepoverLateral shift between tracksmm
apDepth of cut apmm
kam_maalDesired ridge heightµm
vcCutting speed Vc (datasheet)m/min
=Scallop height at selected step-overµm
=Stepover that gives desired ridge heightmm
=Effective cutting diameter at apmm
=Revolutions at effective diametero/min

Validity and source

Source
Sandvik Coromant (effektiv diameter De = 2·√(ap·(Dc − ap))) og kuglegeometri (kamhøjde)

Does not apply when

  • Gaelder en plan flade vinkelret pa vaerktojsaksen. Pa skra og krumme flader skifter bade kamhojde og effektiv diameter. Mange CAM-programmer kan styre efter kamhojde direkte. Tjek at n ikke overstiger spindlens og vaerktojets maks.

Worked example

The calculator's own default values inserted. The figures are calculated with exactly the formula the tool uses.

Substituted

  • Ball mill diameter Dc10 mm
  • Lateral shift between tracks0.50 mm
  • Depth of cut ap0.30 mm
  • Desired ridge height3 µm
  • Cutting speed Vc (datasheet)200 m/min

Giver

  • Scallop height at selected step-over6.25 µm
  • Stepover that gives desired ridge height0.346 mm
  • Effective cutting diameter at ap3.41 mm
  • Revolutions at effective diameter18,660 o/min

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Sådan bruger du den

Ved finfræsning af formværktøjer, matricer og 3D-flader med kuglefræser skal du vælge sideforskydning (stepover) efter den overflade, kunden kræver. Samtidig skærer kuglen kun med en lille diameter ved lille skæredybde, så omdrejningstallet skal regnes ud fra den effektive diameter.

Step by step

  1. Indtast kuglefræserens diameter.
  2. Indtast stepover og skæredybde fra CAM.
  3. Indtast den kamhøjde du vil have og Vc fra databladet.
  4. Aflæs kamhøjde, stepover og n ved den effektive diameter, og tjek spindlens maks.

Typical errors

  • At bruge Dc til n.
  • At glemme skrå flader.
  • At overskride spindlens maks.

Examples from everyday life

Formværktøj

Du finfræser en formhalvdel i værktøjsstål med en Ø10 mm kuglefræser, stepover 0,5 mm og ap 0,3 mm. Kunden vil have en kamhøjde under 3 µm. Vc er 200 m/min.

Ball mill diameter Dc
10 mm
Lateral shift between tracks
0.5 mm
Depth of cut ap
0.3 mm
Desired ridge height
3 µm
Cutting speed Vc (datasheet)
200 m/min

It means: Kamhøjden er 6.25 µm. For 3 µm skal stepover være 0.346 mm. Effektiv diameter er 3.41 mm, og n er 18,660 rpm.

Lille kuglefræser

Detaljer i formen fræses med en Ø6 mm kuglefræser, stepover 0,2 mm og ap 0,15 mm ved Vc 150 m/min.

Ball mill diameter Dc
6 mm
Lateral shift between tracks
0.2 mm
Depth of cut ap
0.15 mm
Desired ridge height
2 µm
Cutting speed Vc (datasheet)
150 m/min

It means: Kamhøjden er 1.67 µm. Den effektive diameter er 1.87 mm, så n skulle være 25,485 rpm. Er det over spindlens maks., må Vc ned.

Rule of thumb

Halv stepover giver en fjerdedel af kamhøjden.

How to check the answer

Effektiv diameter er mindre end Dc.