Forming method for milling threads of variable tooth worms

Details Forming method for milling threads of variable tooth worms Forming method for milling threads of variable tooth worms

2006-05-16

2006-05-16

Cadugan, Erica (Department: 3722)

Gear cutting, milling, or planing

Gear cutting

Gear tooth shape generating

C409S012000, C409S020000

Reexamination Certificate

active

07044691

ABSTRACT:
A forming method for milling teeth of variable tooth worms (VTW) with the following features: on a multi-axis simultaneously-working CNC machine-tool a moving coordinate system {σ1(φ1)[O1;{right arrow over (i)}1(φ1),{right arrow over (j)}1(φ1),{right arrow over (k)}1(φ1)]} is correlated to the worm blank of the VTW worms, whereon the worm blank of the VTW worms rotates around {right arrow over (k)}1(φ1)-axis at angular speed |{right arrow over (ω)}1|; another moving coordinate system {σ2(φ2)[O2; {right arrow over (i)}2(φ2), {right arrow over (j)}2(φ2), {right arrow over (k)}2(φ2)]} is correlated to the milling cutter, whereon the milling-cutter rotates around {right arrow over (k)}2(φ2)-axis at angular speed |{right arrow over (ω)}2|, |{right arrow over (ω)}1|/|{right arrow over (ω)}2|=i12and i12is a constant; the feed motion of the milling cutter comprises the radial shift along {right arrow over (i)}2(o2)-axis and the peripheral shift around {right arrow over (k)}2(φ2)-axis; the equations of the cutting edge of the milling cutter are given as belowin-line-formulae description="In-line Formulae" end="lead"?x=uin-line-formulae description="In-line Formulae" end="tail"?in-line-formulae description="In-line Formulae" end="lead"?y2=rb−vsin βin-line-formulae description="In-line Formulae" end="tail"?in-line-formulae description="In-line Formulae" end="lead"?z2=vcos β.in-line-formulae description="In-line Formulae" end="tail"?

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