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Obliczenia wymiarów gabarytowych freza kształtowego.

Materiał, który będzie obrabiany to aluminium.

  1. Ustalenie punktów charakterystycznych zarysu frezowanej powierzchni (rys.1.1).

  2. Ustalenie średnicy zewnętrznej freza.

hz = 12 mm

D = 95 mm

3) Ustalenie kierunku zataczania freza ( rys.1.1).

sin0x01 graphic
= 0x01 graphic
= 0,4

  1. Obliczenie kąta przyłożenia ostrzy freza.

0x01 graphic
= 0x01 graphic
'

0x01 graphic
= 0x01 graphic
'

tg 0x01 graphic
= 0x01 graphic

tg 0x01 graphic
= 0x01 graphic
= 0,07425

0x01 graphic
= 0x01 graphic
'

  1. Ustalenie wartości kąta natarcia 0x01 graphic
    .

0x01 graphic
= 0x01 graphic
wg tab.

6) Ustalenia ilości ostrzy freza.

z = 0,50x01 graphic

z = 0,50x01 graphic
= 9,06

z = 10 wg tab.

  1. Obliczenie skoków zatoczenia.

H = 5.5 mm wg tab.

H1 = 1.2 H

H1 = 6,5 mm

  1. Obliczenie elementów geometrycznych freza.

    1. obliczenie kąta rowka wiórowego 0x01 graphic

0x01 graphic
= 0x01 graphic

0x01 graphic
= 0x01 graphic

0x01 graphic
= 0x01 graphic

0x01 graphic
= 0x01 graphic
= 0x01 graphic

0x01 graphic
= 0x01 graphic

0x01 graphic
= 0x01 graphic

0x01 graphic
= 0,25 0x01 graphic

0x01 graphic
= 0,25 *0x01 graphic

0x01 graphic
= 0x01 graphic

0x01 graphic

0x01 graphic

0x01 graphic

0x01 graphic
= 9 +1 + 1

0x01 graphic
= 0x01 graphic

    1. opracowanie promienia r zaokrąglenia dna rowka wiórowego.

R0 = R - hz - 0,8 H

R0 = 47,5 - 12 - (0,8*5,5)

R0 = 31,1 mm

r = R00x01 graphic

r = R00x01 graphic
= 31,1 * 0,101= 3,14

r = 3 mm

c) obliczanie wysokości ostrza h.

h = hz + H + r

h = 12 + 5,5 + 3

h = 20,5 mm

d) ustalenie średnicy otworu freza d

d 0x01 graphic
0,625 D1

D1 = D - 2h

D1 = 95 - 41

D1 = 54 mm

d 0x01 graphic
0,625* 54

d 0x01 graphic
33,75 mm

d = 32 mm

b= 8 mm

p = 34,8 mm

r = 1,2 mm

e) sprawdzenie grubości a pierścienia korpusu freza.

a < 0,3 d

a < 9,6 mm

a = 0x01 graphic
- h - ( p - 0x01 graphic
)

a = 47,5 - 20,5 -18,8

a = 8,2 mm

  1. Ustalenie sposobu zataczania ostrzy freza.

tg0x01 graphic
0x01 graphic

tg0x01 graphic
0x01 graphic

tg0x01 graphic
= 0,292

0x01 graphic

0x01 graphic
= 0x01 graphic
wg tab.

0x01 graphic
= 0x01 graphic

0x01 graphic
= 17 + 3

0x01 graphic

  1. Obliczenie zarysu freza w płaszczyźnie natarcia ostrza.

  2. Wielkość znana

    Obliczenia

    Wielkość obliczona

    R1=47,5mm

    0x01 graphic
    = 0x01 graphic

    g1=0

    1. HF = R1*sin 0x01 graphic

    HF = 47,5 * 0,2588 = 12,294

    E1 = R1*cos 0x01 graphic

    E1 = 47,5 * 0,966 = 45,881 mm

    HF=12,294mm

    E1=45,881mm

    g2-10=7,67 mm

    1. R2-10 = R1 - g2-10

    R2-10 = 47,5 - 7,67 = 39,83 mm

    sin 0x01 graphic
    = 0x01 graphic

    sin 0x01 graphic
    = 0x01 graphic
    = 0,309

    0x01 graphic
    = 0x01 graphic

    E2-10 = R2-10 * cos 0x01 graphic

    E2 = 39,83 * 0,951 = 37,885 mm

    F2-10 = E1 - E2-10

    F2-10 = 45,881 - 37,885 = 7,996 mm

    R2-10 = 39,83mm

    0x01 graphic
    = 0x01 graphic

    E2-10=37,885 mm

    F2-10=7,996 mm

    g34-8-9=0mm

    1. R3-4-8-9= R1 - g3-4-8-9

    R3-4-8-9= 47,5 - 0 = 47,5 mm

    sin 0x01 graphic
    = 0x01 graphic

    sin 0x01 graphic
    =0x01 graphic
    = 0,259

    0x01 graphic
    =0x01 graphic

    E3-4-8-9 = R3-4-8-9 * cos 0x01 graphic

    E3-4-8-9 = 47,5 * 0,966 = 45,881 mm

    F3-4-8-9 = E1 - E3-4-8-9

    F3-4-8-9 = 45,881 - 45,881 = 0 mm

    R3-489=47,5mm

    0x01 graphic
    =0x01 graphic

    E3-4-8-9 = 45,881 mm

    F3-4-8-9 = 0 mm

    g5-7=8 mm

    1. R5-7= R1 - g5-7

    R5-7= 47,5 - 8 = 39,5 mm

    sin 0x01 graphic
    = 0x01 graphic

    sin 0x01 graphic
    = 0x01 graphic
    = 0,311

    0x01 graphic
    = 0x01 graphic

    E5-7 = R5-7 * cos 0x01 graphic

    E5-7= 39,5* 0,95 = 37,538 mm

    F5-7 = E1 - E5-7

    F5-7 = 45,881 - 37,538 = 8,343 mm

    R5-7= 39,5 mm

    0x01 graphic
    = 0x01 graphic

    E5-7=37,538mm

    F5-7 =8,343 mm

    g6=12mm

    1. R6= R1 - g6

    R6= 47,5 - 12 = 35,5 mm

    sin 0x01 graphic
    = 0x01 graphic

    sin 0x01 graphic
    = 0x01 graphic
    = 0,346

    0x01 graphic
    = 0x01 graphic

    E6 = R6 * cos 0x01 graphic

    E6= 35,5 * 0,938 = 33,303 mm

    F6 = E1 - E6

    F6 = 45,881 - 33,303 = 12,577 mm

    R6=35,5 mm

    0x01 graphic
    = 0x01 graphic

    E6=33,303mm

    F6 = 12,577 mm

    1. Obliczenie zarysu noża do zataczania ostrzy freza.

    Wielkość znana

    Obliczenia

    Wielkość obliczona

    0x01 graphic
    = 0x01 graphic

    0x01 graphic
    = 0x01 graphic

    H = 5,5mm

    1) 0x01 graphic
    R1 = 0x01 graphic
    (0x01 graphic
    - 0x01 graphic
    ) = 0 mm

    g1'' = g1 - 0x01 graphic
    R1 = 0 mm

    0x01 graphic
    R1 =0mm

    g1'' = 0mm

    0x01 graphic
    = 0x01 graphic

    g2-10=7,67 mm

    2) 0x01 graphic
    R2-10 = 0x01 graphic
    (0x01 graphic
    - 0x01 graphic
    )

    0x01 graphic
    R2-10 = 0x01 graphic
    (17,987 - 15 ) = 0,456 mm

    g2-10'' = g2-10 - 0x01 graphic
    R2-10

    g2-10'' = 7,67 - 0,456 = 7,214 mm

    0x01 graphic
    R2-10 =0,456mm

    g2-10'' =7,214mm

    0x01 graphic
    =0x01 graphic

    g3-4-8-9=0mm

    3) 0x01 graphic
    R3-4-8-9= 0x01 graphic
    (0x01 graphic
    - 0x01 graphic
    )

    0x01 graphic
    R3-4-8-9 = 0x01 graphic
    (15 - 15 ) = 0 mm

    g3-4-8-9'' = g3-4-8-9 - 0x01 graphic
    R3-4-8-9

    g3-4-8-9'' = 0 - 0 = 0 mm

    0x01 graphic
    R3-4-8-9=0 mm

    g3-4-8-9''=0mm

    0x01 graphic
    = 0x01 graphic

    g5-7=8 mm

    4) 0x01 graphic
    R5= 0x01 graphic
    (0x01 graphic
    - 0x01 graphic
    )

    0x01 graphic
    R5-7 = 0x01 graphic
    (18,134 - 15 ) = 0,479 mm

    g5-7'' = g5-7 - 0x01 graphic
    R5-7

    g5-7'' = 8 - 0,479 = 7,521 mm

    0x01 graphic
    R5-7=0,479mm

    g5-7''= 7,521

    0x01 graphic
    = 0x01 graphic

    g6=12mm

    5) 0x01 graphic
    R6= 0x01 graphic
    (0x01 graphic
    - 0x01 graphic
    )

    0x01 graphic
    R6 = 0x01 graphic
    (20,261 - 15 ) = 0,804 mm

    g6'' = g6 - 0x01 graphic
    R6

    g6'' = 12 - 0,804 = 11,196mm

    0x01 graphic
    R6=0,804mm

    g6''= 11,196mm

    1. Obliczenie zarysu kształtowej powierzchni przyłożenia ostrzy freza.

    Wielkość znana

    Obliczenia

    Wielkość obliczona

    R1 = 47,5mm

    0x01 graphic
    = 0x01 graphic

    0x01 graphic
    = 0x01 graphic

    1. rn = R1 sin 0x01 graphic

    rn = 47,5 * 0,0888 = 4,222 mm

    Rz1 = R1 cos 0x01 graphic

    Rz1 = 47,5 * 0,996 = 47,312 mm

    0x01 graphic
    1 = 0x01 graphic
    + 0x01 graphic

    0x01 graphic
    1 = 5 + 5 2' = 0x01 graphic

    HZ = Rz1 sin 0x01 graphic
    1

    HZ = 47,312 * 0,181 = 8,541 mm

    HZ'= rn sin 0x01 graphic
    1

    HZ'= 4,222 * 0,181 = 0,764 mm

    rn = 4,222 mm

    Rz1=47,312mm

    0x01 graphic
    1 = 0x01 graphic

    HZ = 8,541 mm

    HZ'= 0,764mm

    HZ'= 0,764mm

    E210=39,83 mm

    Rz1=47,312mm

    2) tg0x01 graphic
    2-10 = 0x01 graphic

    tg0x01 graphic
    2-10 = 0x01 graphic
    = 0,2186

    0x01 graphic
    2-10 = 0x01 graphic

    Rz2-10 = 0x01 graphic

    Rz2-10 = 0x01 graphic
    = 39,988 mm

    G2-10 = Rz1 - Rz2-10

    G2-10 = 47,312 - 39,988 = 7,323 mm

    0x01 graphic
    2-10 = 0x01 graphic

    Rz2-10 =39,988 mm

    G2-10 =7,323mm

    E3-4-8-9=45,881

    3) tg0x01 graphic
    3-4-8-9 = 0x01 graphic

    tg0x01 graphic
    3-4-8-9 = 0x01 graphic
    = 0,1893

    0x01 graphic
    3-4-8-9 = 0x01 graphic

    Rz3-4-8-9 = 0x01 graphic

    Rz3-4-8-9 = 0x01 graphic
    = 45,9183 mm

    G4= Rz1 - Rz3-4-8-9

    G4 = 47,312 - 45,9183 mm = 1,3967 mm

    0x01 graphic
    3-4-8-9 = 0x01 graphic

    Rz3-4-8-9 =45,9183 mm

    G4 =1,3967 mm

    E5-7=37,538 mm

    4) tg0x01 graphic
    5-7 = 0x01 graphic

    tg0x01 graphic
    5-7 = 0x01 graphic
    = 0,2323

    0x01 graphic
    5-7 = 0x01 graphic

    Rz5-7= 0x01 graphic

    Rz5-7= 0x01 graphic
    = 37,759 mm

    G5-7= Rz1 - Rz5-7

    G5-7 = 47,312 - 37,759 = 9,553 mm

    0x01 graphic
    5-7 = 0x01 graphic

    Rz5-7=37,759 mm

    G5-7 =9,553 mm

    E6=33,303mm

    5) tg0x01 graphic
    6 = 0x01 graphic

    tg0x01 graphic
    6 = 0x01 graphic
    = 0,2625

    0x01 graphic
    6 = 0x01 graphic

    Rz6= 0x01 graphic

    Rz6= 0x01 graphic
    = 33,641mm

    G6= Rz1 - Rz6

    G6 = 47,312 - 33,641mm = 13,671 mm

    0x01 graphic
    6 = 0x01 graphic

    Rz6=33,641mm

    G6 =13,671 mm



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