Top Banner
1 Rolling
33

Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

Apr 20, 2020

Download

Documents

dariahiddleston
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

1

Rolling

Page 2: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

2

Outline

• Rolling Introduction• Rolling Analysis• Rolling Defects

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 3: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

3

Rolling Introduction

• Process typically used to produce basic shapes e.g. flat plates, sheets, railway tracks, I-sections, etc.

Foil: < 0.2 mmSheet: 0.2 ~ 6 mm

Plate: > 6 mm

Source: http://www/world-aluminum.org/

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 4: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

4

Rolling Introduction

• More complex geometries also possible e.g. rings, threads, etc.

Ring Rolling

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 5: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

5

Rolling Introduction

• Types of rolling mills2-High Non-Reversing Mill

2-High Reversing Mill

3-High Mill

4-High Mill Cluster Mill

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 6: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

6

Rolling Introduction

• Roller materials used– Cast iron– Forged steel

• Important properties of roller materials– Strength– Wear resistance– Modulus of elasticity

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 7: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

7

Rolling Analysis

• Objectives

– Find distribution of roll pressure

– Calculate roll separation force (“rolling force”) and torque

– Calculate rolling power

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 8: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

8

Flat Rolling Analysis

• Consider rolling of a flat plate in a 2-roll mill

Width of plate w is large à plane strain

h0 hf

R

V0 Vf (> V0)

q

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 9: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

Prof. Ramesh Singh, Notes by Dr. Singh/ Dr. Colton 9

Processing limits

• The material will be drawn into the nip if the horizontal component of the friction force (Ff) is larger, or at least equal to the opposing horizontal component of the normal force (Fn).

Dh/2

FnFf

Ra

aa

aa sincos nf FF ³

µa =tan

µ = friction coefficient

nf FF ×= µ

Page 10: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

Prof. Ramesh Singh, Notes by Dr. Singh/ Dr. Colton

10

Processing limits

Rh

R

hR

212cos

D-=

D-

=a

Rh <<D aa 2cos1sin -=

Also

and

2

2211sin ÷

øö

çèæ D-

D+-=

Rh

Rha

0

RhD

»asin

Rh

hRh

Rh

RhRh

D-D

@

÷øö

çèæ D+

D-

D

= 2

21

tana

Page 11: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

11

So, approximately( )

RhD

== 22tan µa

Hence, maximum draft

Rh 2max µ=D

Maximum angle of acceptance

µaf 1max tan-==

Maximum Draft

Page 12: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

12

Flat Rolling Analysis

• Friction plays a critical role in enabling rolling à cannot roll without friction; for rolling to occur

• Reversal of frictional forces at neutral plane (NN)

h0 hf

V0 Vf (> V0)a

L

Entry Zone Exit Zone

N

N

( )0 fL R h h R h- = D!

Projected contact length, L

tanµ a³

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 13: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

13

Flat Rolling Analysis

h0 hf

fN

Ndx

p

p

µp

µp

sxsx + dsx

Stresses on Slab in Entry Zone

Stresses on Slab in Exit Zone

p

pµp

µp

sxsx + dsx

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 14: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

14

Flat Rolling Analysis

p

p

µp

µp

sxsx + dsx

Stresses on Slab in Entry Zone Stresses on Slab in Exit Zone

p

pµp

µp

sxsx + dsx

Using slab analysis we can derive roll pressure distributions for the entry and exit zones as:

12 tanf f

R RHh h

f-æ ö

= ç ÷ç ÷è ø

( )0

0

23

H Hfhp Y eh

µ -=23

Hf

f

hp Y eh

µ=

Entry Zone Exit Zoneaf == @0 HH

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 15: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

ME 4210: Manufacturing Processes & EngineeringInstructor: Ramesh Singh Notes by: Prof. S.N. Melkote

15

Flat Rolling Analysis

Effect of Coeff. of Friction Effect of % Reduction

Page 16: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

16

Flat Rolling Analysis

• Rolling force (also called roll-separating force), F = (area under the pressure vs. contact length curve) x (width of sheet)

• Mathematically,

Where fN is the location of the neutral plane

0 0

N

N

exit entryF pdA wp Rd wp Rdfa a

f

f f= = +ò ò ò

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 17: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

17

Zero slip (neutral) point

• Entrance: material is pulled into the nip– roller is moving faster than material

• Exit: material is pulled back into nip– roller is moving slower than material

materialpull-in

vovf

vrvrvr

materialpull-back

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 18: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

18

System equilibrium

• Frictional forces between roller and material must be in balance.– or material will be torn apart

• Hence, the zero point must be where the two pressure equations are equal.

( )( ) ( )( )n

n

n

f

HHexpHexp

)HH(exphh 20

00 -=-

= µµ

µ

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 19: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

19

Neutral Point

÷÷ø

öççè

æ-=÷

÷ø

öççè

æ=

fN

fNfN h

hHHRhH

Rh 0

0 ln121 ,

2tan

µf

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 20: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

20

Flat Rolling Analysis• Average rolling force,

Where w is the width of sheet and havg is the average thickness of sheet = 0.5(h0 + hf)

úúû

ù

êêë

é÷÷ø

öççè

æ+==

avgfavgavg h

LYLwLwpF2

132 µ

average flow stress:due to shape of element

1

10

1

+=

+== ò

+

nKY

nKdKY

n

f

nn

f

e

eeeee

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 21: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

21

Torque

R

Froller

L/2

paveA

hRL D»

Dh = hb - hf

ApF

F

averoller

y

=\

=å 0

22/ LF

FL

FrrollerTorque rollerrollerroller =×=×=

fµfµfa

f

dpRwdpRwTn

n

òò -=0

22

entry exit

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 22: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

22

Torque

• Rolling torque per roll,T = Fa

where a is the moment arm for the roll forcea » L/2 for hot rolling, a » 0.4L for cold rolling

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 23: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

23

Flat Rolling Analysis

• Rolling power in KW per roll,

Where N is the roll speed in rpm, F is in N and L, a are in m.

( )( )60000600002

600002/LFN/aFNFa/NTP

pppw

====

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 24: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

24

Example Problem

A 75 mm thick by 250 mm wide slab of AISI 4135 steel is being cold-rolled to a thickness of 60 mm in a single pass. A two-high non-reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling mill has a power capacity of 5 MW per roll. The rolls rotate at a constant angular speed of 100 rev/min. The steel work material has the following flow curve at the rolling temperature: MPa. Assume the coefficient of friction µ = 0.2. Is the available rolling mill adequate for the desired operation?

w = 250 mm

hi=75 mm

hf = 60 mm

14.01100 tt es =

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 25: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

25

Example Problem

The rolling mill is adequate if the required power for the operation is less than or equal to the available power.

Power required per roll, 60000

NLFProll

¢p= kW

Roll separating force, ( ) ÷÷ø

öççè

æ+÷÷

ø

öççè

æ=

avgfavg h

LYLwF

21

32 µ

( )( ) 075.006.0075.0375.0 =-=D= hRL m

0675.02

06.0075.0=

+=avgh m

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 26: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

26

Example Problem

96.77814.1

6075ln1100

1

14.0

0

=÷øö

çèæ

=ese

= òe t

ttt

f dY MPa

( )( ) ( )( )( ) 74.18

0675.02075.02.0196.778

3225.0075.0 =÷÷

ø

öççè

æ+÷

ø

öçè

æ=avgF MN

Therefore, ( )( )( ) 36.7

60000100075.01074.18 6

=´p

=rollP MW

Since 5>rollP MW (the available power), the rolling mill is not adequate for the operation.

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 27: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

27

Rolling Forces• Ways to reduce rolling forces

– Lowering friction via use of lubricants

– Using smaller diameter rolls

– Taking smaller reductions

– Increasing workpiece temperature

– Use of front and/or back tension

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 28: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

28

Front & Back Tension

Lowers apparent yield strength of material à lowers roll force

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 29: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

29

Rolling Defects• Roll bending• Remedy: roll camber

Cambered Rolls Un-Cambered Rolls

Source: Metal Forming, W.F. Hosford & R.M. Caddell, 1993 ME 206: Manufacturing Processes I

Instructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 30: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

ME 4210: Manufacturing Processes & EngineeringInstructor: Ramesh Singh Notes by: Prof. S.N. Melkote

30

Rolling Defects

• Un-cambered or under-cambered rolls

Residual Stresses

Centerline Cracking

Warping

Edge Wrinkling

Un-cambered/Under-cambered Rolls

Source: Metal Forming, W.F. Hosford & R.M. Caddell, 1993

Page 31: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

31

Rolling Defects

• Over-cambered rolls

Un-cambered/Under-cambered Rolls

Source: Metal Forming, W.F. Hosford & R.M. Caddell, 1993

Residual Stresses

Edge Cracking

Splitting

Centerline Wrinkling

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 32: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

32

Rolling Defects

• Roll flattening: similar to tyre flattening

– Due to elasticity of rolls

– Increases roll radius and hence rolling force

• Remedy– Choose rolls with high elastic modulus

– Reduce rolling force

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton

Page 33: Rolling - me.iitb.ac.inramesh/courses/ME206/Rolling.pdf · reversing rolling mill (shown below) with 750 mm diameter rolls made of tool steel is available for this task. The rolling

33

Summary

• Rolling Introduction– Rolling mill types

• Rolling analysis– Roll pressure, rolling force, torque

• Rolling defects– Roll bending, flattening, etc.

ME 206: Manufacturing Processes IInstructor: Ramesh Singh; Notes by: Prof. S.N. Melkote / Dr. Colton