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Abstract

Warm or cold roll forming is a deformation process used for economic production of profiles, not only for structural purposes (e.g. angles, T-bars, channel sections etc.) but also for precision work, such as for turbine blades. For simple standard profiles, there are guidelines available and experimental findings for roll pass design and for working out the roll pass schedule from the starting pass to the finished section [5.1]. Flat rolling, too, has also been the subject of detailed investigation [5.2]. However, for designing complicated special profiles, the rolling tools are, as a rule, designed empirically. There are two reasons for this:

  1. 1.

    Roll forming is an experience-based technology, whereby improvements and developments have come about principally through a pragmatic approach by trial-and-error methods.

  2. 2.

    Although numerous publications deal with lateral spread of the material within the roll gap, pre-determination of spread behavior during roll forming gives rise to considerable problems and is possible to a sufficient degree of accuracy only for special cases by the application of lateral spread formulae [5.3–5.6] or calculations on the basis of plasticity theory [5.7–5.9]. As lateral spread is influenced by many parameters [5.10] — geometry, friction, temperature, microstructure, yield stress — for new materials, there is no alternative but to determine lateral spread by experiment.

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Abbreviations

A0:

Area of the final profile

Al:

Area of displacement

A2:

Area of lateral spread

C:

constant of the flow stress law

D:

Maximum allowable deformability

DL(i):

Deformation at X(i)

F:

Lateral spread ratio

F1, F2:

Y-coordinates of the upper and lower part of the starting profile

Gl, G2:

X and Y coordinate of the center of gravity

H0:

Height of the starting profile

H9:

Percentage increase from the final to starting profile

HM(ℓ,i):

Height of the pass ℓ at X(i)

Hp :

Minimum height of the final profile in the range L1 – L2

K:

Index of the center of gravity X-coordinate

L1, L2:

X-coordinates of left-hand and right-hand sides of the starting profile

n:

Number of coordinates (total) or exponent of the flow stress law

P:

Number of passes

P1(ℓ,i) P2(ℓ,i):

Y-coordinates of the upper and lower roll of pass ℓ at X(i)

WO:

Width of starting profile

Yl(i):

Y-coordinates of the lower roll (final profile)

Y2(i):

Y-coordinates of the upper roll (final profile)

X(i):

X-coordinates of the final profile

Δx:

Interval of x-coordinates (equal spacing)

\(\bar \sigma\) :

flow stress (effective)

ε :

strain (logarithmic)

References Chapter 5

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© 1986 Springer-Verlag Berlin, Heidelberg

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Böer, C.R., Rebelo, N.M.R.S., Rydstad, H.A.B., Schröder, G. (1986). Modelling of Rolling. In: Process Modelling of Metal Forming and Thermomechanical Treatment. MRE Materials Research and Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82788-4_5

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  • DOI: https://doi.org/10.1007/978-3-642-82788-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82790-7

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