螺旋铣和坡走铣

26,81 23,69 20,65 17,71 14,89 12,21
556 537 515 488 457 420
0,08 0,08 0,07 0,07 0,07 0,07
3,75
0,08 0,15
7
8 9 10 11 12
1,25
1,15 1,03 0,88 0,70 0,51
9,85
8,70 7,67 6,80 6,10 6,00
1
螺旋差补走－斜走
Circular interpolation – ramping 刀体尺寸的选择Cutter diameter selection
De rad
Dc
rad
Dc
Dvf=Dm-De
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盲孔Blind hole – 平底flat bottom
•Max Dc = 0.80 x Dm •Min Dc = 0.5 x Dm
θ = 180-B aemax = Dc – (Cos θ x Dc) 2
DVf
• modified feed calculated
for respective Dvf
10
Rest milling into a corner
Engagement angle, for set ae
radw radm fin rad
fz =
hex sinθ
Vf2 = n x fz x z Vf1 = Dvf x Vf2 Dm
5
拐角处的加工Machining into a corner
ae
进入角，铣宽和进给Engagement angle, ae and rad feed
aerad DC Vftc Vfper Vftc Vftc
螺旋差补铣Circular interpolation 解决方案Pioneering solutions
•Ramping from solid在实体上斜走 •Circular interpolation走内螺旋线 •Machining into corners加工到边角 •Rest milling清根 •Trochoidal milling摆线铣
degrees rota’n per tooth
fzper
θrad
ln
DVf
fz
Vftc
Vftc Vftc
Vfper Vfrad fz
θ
拐角处的进给要降低，因为 ：feed needs to be reduced in corner due to:Vftc •铣宽变大；increased ae •周边的进给速度比刀具中心的进给速度快；peripheral feed far greater than tool centre feed
1,98
14
Rest milling into a 60°corner
Dc ae Vc fz
Pass
radiall
radw (20)
radm (6)
θ
- 10 -2 - 120 - 0.05
• optimised feed – fixed ae
radm
mm
• optimised feed and aemax
3
Circular interpolation – ramping
螺旋进给率Calculating feed rates
ap
DC
Vf2 = n x fz x z
Vf1 DVf Vf2 Dm
Vf1 =
Dvf x Vf2 Dm
4
Circular interpolation –
ae
(Dm-Dw)/2 < Bs
DC
radw (29)
rad (6) θ
DVf
• optimised feed – fixed ae
Pass
radially
• optimised feed and aemax
Pass ae
mm
radm
mm
aemax
mm
Dvf
mm
Vfdvf
mm/min radially
Time
total
radm
mm
x x radw θ y
θ
• 进给和铣宽的计算
DC
w
optimised feed and ae calculated
Cosθ = (0.5Dc-aemax) 0.5Dc x = sinθ x Dc/2 y=
DVf
√radw²- x²
z
z = y + aemax w = z - radw
12
Rest milling into a corner
26,0 22,0 18,0 14,0 10,0 6,0 2,0
552 525 491 446 382 286 127
0,08 0,08 0,07 0,07 0,07
2,45
1 2 3 4 5 6
1,60 1,56 1,52 1,47 1,41 1,34
18,40 16,84 15,33 13,86 12,45 11,11
Dvf
mm
Vfdvf
mm/min
Time
radially total
radially
1 2 3 4 5
24,4 19,8 15,2 10,6 6,0
2,3 2,4 2,5 2,7 3,1
38,8 29,6 20,4 11,2 2,0
607 571 513 404 127
0,08 0,07 0,06 0,06 0,15
radw radm
θ
θ
DC
DC
DVf DVf
• 最大铣宽和θ?? ae max
and θ increases with smaller radm
11
Rest milling into a corner
Engagement angle, optimised ae
radw (20) radm (17,5)
fz
6
Machining into a corner
Engagement angle, ae and feed
Tool centre feed reduction value for given Dc/comp't radius ratio
16 14
Feed reduction value
Dc/rad ratio
Engagement angle, for set ae
A Dc radw B
θ
radw (20)
radm (17,5)
C
(radw+ae)-0.5Dc
rad (6)
θ
Cos B = (0.5Dc)² +((radw+ae)-0.5Dc)² -radw² Dc*((radw+ae)-0.5Dc)
DC
进入角，铣宽和进给Engagement angle, ae and rad feed rad (20) (20)
w w
radm (6)
θ
radm (6)
θ
aetot =
5.8mm aetot = 14mm
aetot =
radw
-
radw +
radm
- radm
9
sin(θ/2)
sin(θ/2)
Rest milling into a corner
DVf Dm
通孔Through hole
•Max De = 0.80 x Dm
2
Circular interpolation – ramping
最大螺距－切深Max pitch - ap
ap
DC
θ = max 坡走角度 ramp angle
ap Dvf
θ
DVf
Dm
Dvf = Dm-Dc
ap = Tanθ x Dvf
θ
B
w
aemax
C
(radw+ae)-0.5Dc
Cos B = (0.5Dc)² +((radw+w)-0.5Dc)² -radw² Dc*((radw+w)-0.5Dc) θ = 180-B
radw
θ x
aemax = Dc – (Cos θ x Dc) 2
16
Rest milling into a corner
1,70
1 2 3 4 5 6 7
1,72 1,68 1,61 1,52 1,38 1,16 0,77
24,8 20,8 16,9 13,2 9,9 7,1 6,0
39,7 31,6 23,8 16,5 9,8 4,2 2,0
610 580 538 475 378 227 127
0,08 0,07 0,06 0,06 0,06 0,07 0,09
9,70
7,40 5,35 3,60 2,20 2,00
376
325 266 202 138 127
0,07
0,07 0,07 0,09 0,11 0,10
15
Rest milling into a corner
Engagement angle and aemax for given w
A radw
螺旋差补的进入角，铣宽和进给Calculating engagement angle, ae and feed
DC
A
DC
Dw
Dw
θ
C
Dc B
θ Vf1 DVf Vf2 Dm
Dm-Dc
Dm
Cos B = Dc² +(Dm-Dc)² -Dw² 2*Dc*(Dm-Dc) θ = 180-B ae = Dc – (Cos θ x Dc) 2
Pass ae
mm
aemax
mm
Dvf
mm
Vfdvf
mm/min
Time
radially total
radm
mm
Dvf
mm
Vfdvf
mm/min
Time
radially total
radially
1 2 3 4 5 6 7
18,0 16,0 14,0 12,0 10,0 8,0 6,0
2,5 2,5 2,6 2,7 2,9 3,1 3,6
Engagement angle, optimised ae
w
• optimised feed and ae
calculated
θ
v=
radw Cos0.5θ
u = v–z=t radm = t - t 1-Cos(90-0.5θ)
13
Rest milling into a 90°corner
Dc ae Vc fz - 10 -2 - 120 - 0.05
Engagement angle, optimised ae
x θ y
x
w
aemax
Cosθ = (0.5Dc-aemax) 0.5Dc x = sinθ x 0.5Dc y=
radw
θ x
√radw²- x²
z = y + aemax w = (y + aemax) - radw
17
12 1 10 8 6 4 2 0 10% 20% 30% Percentage ae/Dc 40% 50% 1,20 1,40 1,60 1,80
7
Machining into a corner
Engagement angle, ae and feed
8
拐角处的清根铣削Rest milling into a corner