- Trigonometric function measurement
1.tanθ=b/a θ=tan-1b/a
2.Sinθ=b/c Cos=a/c
Common calculation methods for production and cnc machining
- Measurement of cutting parameters
Vc=(πDS)/1000
Vc: angular velocity (m/min) π: circumference ratio (3.14159) D: CNC blade straight length (mm)
S: Speed ratio (rpm)
Exercises. Applying Φ25 turning tool Vc to (m/min)25 to find S=?rpm
Vc=πds/1000
25=π25S/1000
S=100025/ π25
S=320rpm
- Measurement of cutting speed (F value)
F=S＊Ｚ＊Fz
F: Cutting speed (mm/min) S: Speed ratio (rpm) Z: Number of blades
Fz: (Actually each blade moves the knife)
Exercises. A standard 2-flute end mill is used to drill steel parts at a rate of 2000rpm, and find the cutting speed (F
What is value)? (Fz=0.25mm)
F=S＊Ｚ＊Fz
F=200020.25
F＝1000(mm/min)
Fourth, the calculation of the residual material height
Scallop=(ae*ae)/8R
Scallop: Residual material height (mm) ae: XYpitch (mm) R CNC blade semi-warp (mm)
Exercises. Φ20R10 product refined 2 blades, pre-residual height 0.002mm, ask for more pitch
Less? mm
Scallop=ae2/8R
0.002=ae2/8*10
Ae=0.4mm
- Calculation of escape hole
Φ＝√2R2X、Y＝D/4
Φ: Straight length of escape hole (mm) R CNC blade half length (mm) D: NC blade straight length (mm)
Exercises. As shown in the picture, a mold cavity must escape the corner production and processing (the picture is known),
The commonly used turning tool is ψ10; I want to ask about the least escape angle hole
How much is ? What are the center coordinates?
Φ=√２Ｒ2
Φ=√2＊52
Φ=7.1(mm)
X, Y = D/4
X, Y = 10/4
X、Ｙ＝2.5 mm
The coordinates of the center of the circle are (2.5, -2.5)
VI. Measurement of reclaiming amount
Ｑ=(aeapF)/1000
Ｑ: Reclaiming amount (cm3/min) ae: XYpitch(mm)ap: Zpitch(mm)
Exercises. As shown in the picture, a mold with a cavity contour line is produced and processed. The XYpitch of the Φ35R5 knife is 60% of the CNC blade, the six-layer cutting is 1.5mm, and the cutting speed is 2000mm/min. Find the material withdrawal of this CNC blade For what?
Ｑ=(aeapF)/1000
Ｑ＝350.61.5*2000／1000
Ｑ＝63 cm3/min
Seven. Measurement of cutting speed per blade
Fz=hm * √(D／ap)
Fz: Implement cutting speed per blade hm: Basic theory cutting speed per blade ap: Zpitch(mm)
D: Saw blade straight length (mm)
Practice questions (prerequisite depo XYpitch is 60% of CNC blade)
depoΦ35R5 cutter, drilling NAK80 raw material hm is 0.15mm, Z-axis cutting depth is 1.5mm, what is the cutting speed per blade?
Fz=hm * √(D／ap)
Fz＝0.2*√10/1.5
Fz = 0.5mm
Stamping die wound production and processing methods
Wound production and cnc machining depth = plate thickness-wound height + drill point (0.3D)
D expression knife path
Twist drill turning time relation
T(min)=L(min)/N(rpm)*f(mm/rev)
=πDL/1000vf
L: Total length of the rotating hole N: Number of revolutions f: Index of the amount of cutting
D: Twist drill straight warp v: Cutting amount
The hole depth is known as shown in the figure. The total length of the twist drill hole L is then L=l＋D/3
T=L/Nf=πDL/1000vf
Index table f Straight through mm/cut mm/rev
1.6~3.2 0.025~0.075
3.2~6.4 0.05~0.15
6.4~12.8 0.10~0.25
12.8~25 0.175~0.375
Around 25 0.376~0.625
Tube tooth calculation method
1 foot = 25.4mm = 8 points
25.4/tooth number = tooth pitch
For example, 25.4/18=1.414 tooth pitch is 5/16 tap
high horsepower (gun drill)
W=Md*N/97.410
W: Required driving force (KW)
Md: Torque (kg-cm)
N: Number of rotations (r.p. m)
The torque calculation formula gives:
Md=1/20fps*
F is the cutting speed mm/rev index
R is the twist drill half-time race (mm)
Α: Drilling resistance ratio ps. In the small pass, the steel is usually 500kg/mm2; the pig iron is usually 300kg/mm2