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3 Fundamentals of press design

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Force and work requirement<br />

For die <strong>design</strong>, the <strong>press</strong>ure on the container wall p i [N/mm 2 ] is determined:<br />

1<br />

p = p + k + k<br />

2<br />

( ) ⎡<br />

Example:<br />

The sample calculation provided here is based on the workpiece material 1.0303<br />

(QST 32-3). The starting values are specified on the left, the characteristic values<br />

subsequent to the <strong>press</strong>ing operation on the right.<br />

d 0 = 75 mm d 1 = 45 mm a = 45°<br />

h 0 = 110 mm h 2 = 65 mm<br />

d 2 = 75.3 mm<br />

=> h = 45 mm<br />

The resulting deformation or ideal effective strain is � = 1.03, which corresponds<br />

to a relative cross section change <strong>of</strong> � A � 64 %, and the correction coefficients<br />

are k h � 1.09 and k 2� � 1.15:<br />

If the amount <strong>of</strong> deformation is 1.03, the resulting value for k f1 is approx.<br />

740 N/mm 2 , (k f0 250 N/mm 2 ), meaning that the specific forming work is<br />

approx. 471 Nmm/mm 3 . With an efficiency <strong>of</strong><br />

the specific die loads, force and work result in:<br />

N<br />

⎣⎢ mm<br />

i St f0 f1<br />

2<br />

ϕ = ε<br />

⎛ ⎞<br />

⎜ ⎟ = =<br />

⎝ ⎠<br />

( ) 2<br />

2 2<br />

75. 3<br />

75. 3 – 45<br />

ln 103 .<br />

⋅ 100 % = 64 %<br />

2<br />

2<br />

45<br />

75. 3<br />

= ⋅ α<br />

⎛ ⎞<br />

02 . + . ≈ . = ⋅ ⋅ + . ≈ .<br />

⎝ ⎠ 110<br />

1<br />

kh08 109 k22<br />

45 0 7 1 15<br />

75<br />

200<br />

ηF = 0. 703125⋅ 64 / 100 = 0. 67<br />

p 510 / 0. 67 1. 09 1. 15 957 N/ mm<br />

St<br />

2<br />

= ⋅ ⋅ ≈ [ ]<br />

2 – 3<br />

FU957 75. 3 π / 4 10 4, 261 kN<br />

W = 4, 261⋅ 0. 045 ≈ 192 [ kJ r esp.<br />

kNm]<br />

2<br />

pi= 1/<br />

2 ( 957 + 250 + 740) ≈ 974 [ Nmm / ]<br />

= ⋅ ⋅ ⋅ ≈ [ ]<br />

Metal Forming Handbook / Schuler (c) Springer-Verlag Berlin Heidelberg 1998<br />

⎤<br />

⎦⎥<br />

473

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