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Webs Tension Rollers Nips Lateral Wind More 1.0 What is Web Handling Introduc7on and Overview Timothy J. Walker, TJWalker + Associates Inc. 1620 Edgcumbe Road, Saint Paul, MN 55116 [email protected] www.webhandling.com 651.686.5400 TJWA Inc., Copyright 2012 www.webhandling.com 1

TJWA WOW1 Web Handling · PDF fileNipped%Roller% Systems 4:$Nipping$&$Laminaon$ ... $Process,$Roll$Quality,$EquipmentDesign$ ... Nip$Design$ Nip$Variaons$

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Page 1: TJWA WOW1 Web Handling · PDF fileNipped%Roller% Systems 4:$Nipping$&$Laminaon$ ... $Process,$Roll$Quality,$EquipmentDesign$ ... Nip$Design$ Nip$Variaons$

Webs   Tension   Rollers   Nips   Lateral   Wind   More  

1.0  What  is  Web  Handling  Introduc7on  and  Overview  

Timothy  J.  Walker,  TJWalker  +  Associates  Inc.  1620  Edgcumbe  Road,  Saint  Paul,  MN  55116  

[email protected]        www.webhandling.com          651.686.5400  

TJWA  Inc.,  Copyright  2012   www.webhandling.com   1  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

What  is  Web  Handling?  

Ø  The  process  technology  of  transporOng  and  storing  thin,  flexible  materials.  

Ø  A  web  is  any  flexible,  conOnuous  material  where:  

   Length  >>  Width  >>  Thickness  

Ø Webs  include  papers,  films,  foils,    non-­‐wovens,  texOles,  and  laminates.  

Thickness   Width   Length  

TJWA  Inc.,  Copyright  2012   www.webhandling.com   2  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Web  Handling  Processes  

Makers:    Coa7ng,  Extrusion,  &  Paper  and  Film-­‐Making  

Converters:  SliOng,  Die-­‐CuOng,  &  Lamina7ng  

Controls!    Cri7cal  to  successful  web  

handling.  

TJWA  Inc.,  Copyright  2012   www.webhandling.com   3  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Web  Handing  Technology  Areas  

1:  Introduc7on  to  Webs  and  Web  Handling  

2:  Tensioning  

3:  Rollers  and  Trac7on  

4:  Nipping  and  Lamina7on  

5:  Lateral  Control    

6:  Winding    

7:  WH  Resources  

TJWA  Inc.,  Copyright  2011    www.webhandling.com   0-­‐4  

Web  ProperOes  of  Tensioning  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

WH  Fundamentals  

Web  ProperOes  of  Tensioning  

The  Secret  to  Web  Handling  

1:  Introduc7on  to  Webs  and  Web  Handling  

TJWA  Inc.,  Copyright  2011    www.webhandling.com   0-­‐5  

+  Web  Proper7es  ü What  material  proper7es  does  a  web  handler  need  to  know?  ü Know  your  web’s  mechanical  and  fric7onal  proper7es.    

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Tension  Control  Systems  

Tensioning  Elements  

MD  Tension  Profile  

2:  Tensioning  

WH  Fundamentals  

TJWA  Inc.,  Copyright  2011    www.webhandling.com   0-­‐6  

+  Tension  Control  ü What  is  the  right  tension  for  your  web  or  process?  ü What  controls  tension  in  your  process?  ü What  determines  the  op7mum  number  of  tension  zones?  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

3:  Rollers  &  Trac7on  

WH  Fundamentals  

TJWA  Inc.,  Copyright  2011    www.webhandling.com  

Roller  Basics   Alignment   TracOon  

+  Rollers  and  Trac7on  ü Design  rollers  for  driving,  idling,  and  nipping  applica7ons  ü Why  is  roller  parallelism  important?  ü Understand  when  webs  slip  on  rollers.  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

WH  Fundamentals  

TJWA  Inc.,  Copyright  2011    www.webhandling.com  

Nipped  Roller  Systems  

4:  Nipping  &  Lamina7on  

LaminaOon  

+  Nipping  and  Lamina7on  ü What  is  the  load  and  pressure  in  a  nip?  ü What  causes  or  reduced  pressure  varia7ons?  ü What  are  the  best  prac7ces  of  lamina7on?  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

WH  Fundamentals  

Guiding  Wrinkling   Spreading  

5:  Lateral  Mo7on:  Tracking,  Wrinkling,  Spreading,  Guiding  

TJWA  Inc.,  Copyright  2011    www.webhandling.com   0-­‐9  

Tracking  

+  Lateral  Mo7on  ü What  cause  a  web  to  shib  laterally?  ü What  web  guide  is  best  for  a  process?  ü What  causes  web  wrinkles?    ü What  eliminates  wrinkles?  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

WH  Fundamentals  

6:  Winding:  Process,  Roll  Quality,  Equipment  Design  

TJWA  Inc.,  Copyright  2011    www.webhandling.com   0-­‐10  

Winder    Design  

Roll    Quality  

Winding    Process  

+  Winding,  Rolls,  Winders  ü What  winder  design  is  best  for  a  product?  ü What  determines  the  pressure  inside  a  wound  roll?  ü What  causes  roll  and  web  defects?  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

WH  Fundamentals  

7:  Web  Handling  Resources  

TJWA  Inc.,  Copyright  2011    www.webhandling.com   0-­‐11  

+  Resources  ü Where  can  I  learn  more  about  web  handling?  ü Where  can  I  get  help  with  web  handling?  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Web  Handling  and  Winding  Common  Problem  Areas  

TJWA  Inc.,  Copyright  2011    www.webhandling.com   0-­‐12  

Tension  VariaOons  

Web  Buckling  

1.  Tensioning    2.  Imperfect  Webs  3.  Nipping  Roller  Systems  4.  MD  and  TD  Control  5.  Web  Buckling  

Imperfect  Webs  

MD  and  TD  Control  

Nipped  Roller  Systems  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Part  1:  Solu7ons  w/  Web  Tensioning  

Machine  Direc7on  

Tension:  MD  VariaOons  

Tension:    Too  High  or  Too  Low  

Tension:    TD  VariaOons  

Transverse  Direc7on  TD  =  

MD  =  

Tension:  Varies  Over  

Time  Tension:    

Slit  Strands  

1A 1B 1E

1D

1C

TJWA  Inc.,  Copyright  2011    www.webhandling.com   0-­‐13  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Part  2:  Solu7ons  with  Imperfect  Webs  

Baggy  Webs  

Cambered  Webs  

Cambered  and  Baggy  Webs  

Curled  Webs  

Non-­‐Flat  Webs  

TJWA  Inc.,  Copyright  2011    www.webhandling.com   0-­‐14  

Part  3:  Solu7ons  to  Nipping  Varia7ons  

Nipped  System  Design   LaminaOon  

Nip  Varia7ons  Nip  Design  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Part  4:  Solu7ons  with  Control  

MD  Slip  on  Rollers  

MD  Slip  Between  Web  and  Driven  or  

Idler  Rollers    MD  Slip  in  Rolls  

MD  Slip  Between  Layers  in  a  Rolls    

TD  Slip/Shi`  on  Rollers  

TD  Error  in  Rolls  

Web  TD  Shibs  or  Slips  Laterally  on  

Rollers  

TD  Shib  or  Misalignment  of  Layers  in  a  Rolls  

Machine  Direc7on  Control    

Transverse  Direc7on  Control    

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Part  5:  Solu7ons  with  Buckled  Webs  

In  Spans    

Buckled  Between  Rollers  

Buckled  Web  in  Spans  

MD  Buckles    On  Rollers  

TD  Buckles    On  Rollers  

On  Rollers  

TJWA  Inc.,  Copyright  2011    www.webhandling.com   0-­‐16  

In  Rolls    

MD  Buckles  Rolls  

TD  Buckles    in  Rolls  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Ques7ons  }  What  do  you  want  to  learn?  }  What  ques7ons  do  you  have?  }  What  materials  are  you  working  with?  }  What  processes  are  you  working  with?  }  What  are  your  top  sources  of  waste  related  to  web  handling?  }  What  would  you  like  to  share  from  your  experience?  

TJWA  Inc.,  Copyright  2012   www.webhandling.com   17  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

1.1  -­‐  Web  Proper7es  What  makes  one  web  different  from  another?  

Timothy  J.  Walker,  TJWalker  +  Associates  Inc.  1620  Edgcumbe  Road,  Saint  Paul,  MN  55116  

[email protected]        www.webhandling.com          651.686.5400  

TJWalker  +  Associates  Inc.   www.webhandling.com   18  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

TJWalker  +  Associates  Inc.   www.webhandling.com   19  

Web  Proper7es  WHAT  IS  IT  What  webs  are  difficult?  

•  Extremes  of  thickness  Ultra-­‐thin  (less  than  0.5  mil  or  12  microns)  Ultra-­‐thick  (unable  to  bend  around  a  roller)  

•  Extremes  of  width    Ultra-­‐narrow  (less  than  0.2-­‐in  or  5mm)  Ultra-­‐wide  (over  100-­‐in  or  2.5m)  

•  Extremes  of  elasOcity  Ultra-­‐s7ff  (steel)  Ultra-­‐stretchy  (polyurethane,  some  nonwovens,  elas7cs)  Visco-­‐elas7c  and  non-­‐elas7c  

•  Easily  damaged  Easy  to  tear,  break,  crush,  deform,  scratch  

•  Difficult  surface  properOes  Slippery,  tacky,  fric7onal  proper7es  varying  as  a  func7on  of  pressure  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

TJWalker  +  Associates  Inc.   www.webhandling.com   20  

Web  Proper7es  WHAT  IS  IT  What  processes  are  difficult?  

•  Fast  (above  1000  fpm)  •  Ultra-­‐precise  (registra7ons  below  3-­‐5  mils,  75-­‐125  microns)  •  Process  with  drama7c  mechanical  property  changes  (paper-­‐making,  film-­‐

making/orienta7on,  extrusion  coa7ng  on  films)  •  Long  air  flota7on  ovens  •  Webs  in  vacuum  •  Webs  in  liquids  •  Speed  or  length  transi7ons  (accelera7on,  accumula7on/dispensing,  turret  

winders)  •  Ultra-­‐long  processes  (over  300m  web  path)  •  Extreme  tension  transi7ons,  esp.  to  and  from  zero  tension  •  Lamina7ng  greatly  dissimilar  mechanical  proper7es  curl  free,  esp.  

anisotropic  to  isotropic  webs  •  Machine  direc7on  registra7on  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

TJWalker  +  Associates  Inc.   www.webhandling.com   21  

WH  Technology  HARDWARE/SOFTWARE  What  analogies  or  images  are  helpful?  Webs  are  like  springs:    

•  Most  webs  respond  elas7cally  to  force  or  need  force  to  elongate  Webs  are  like  ropes:    

•  Webs  bend  easily  (except  widthwise)  •  Webs  don’t  support  compression  (easily  buckling)  •  Webs  work  well  under  tension  (they  are  s7ffer  and  straighter)  

Webs  are  like  beams:    •  They  have  a  cross-­‐sec7on  area  •  Think  of  load  in  term  of  stress  (force/area)  •  Bending  force  is  func7on  of  bh3/12,  un7l  buckling  •  Bending  force  is  func7on  of  1/L3,  un7l  buckling  

   

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

What  is  Your  Web?            Webatronium?  

TJWA  Inc.,  Copyright  2012   www.webhandling.com   22  

}  Thickness,  Width  }  Stress  or  Strain  to  Yield  or  Break  }  Young’s  Modulus  of  Elas7city  }  Surface  Characteris7cs  (Fric7on,  Roughness,  Porosity)  }  Visco-­‐Elas7city?  }  Poisson’s  Ra7o?  }  Anisotropy?  (MD-­‐TD  Differences)  }  Layers?  Laminate?  Coated?  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

What  is  the  right  tension?  

The  Right  Tension  Qs  

The  answer  to  this  requires  understanding  of:    

 force,    tension,      stress,    strain,    

       tensile-­‐elonga7on  tes7ng,    yield  point,    break  point,  

         &  modulus  of  elas7city.    

TJWA  Inc.,  Copyright  2012   www.webhandling.com   23  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Web  Handling  Stress    

εσΔ

Δ=E

ducOle  break  σ

stress  

strain,            ε

(force/area)  

x   x  brifle  break  

yield  point  

elasOc  strain  

(%)  

Typical  web  handling  tensions  are  10  to  20%  of  a  web’s  yield  or  break  stress.  

Tension  setpoint  should  be    10-­‐20%  of  yield  or  break  point.  

TJWA  Inc.,  Copyright  2012   www.webhandling.com   24  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Common  Units  &  Variables  

 TJWalker  +  Associates  Inc.,  Copyright  2011  

www.webhandling.com   SWHP1-­‐25  

t    =  web  thickness,  mils  or  inches,    0.001”  =  25µm  w    =  web  width,  inches,    1”  =  25.4mm  L    =  length,  inches,    1”  =  25.4mm  V    =  web  or  roller  speed,  feet/min.  (fpm),    100  fpm  =  30  m/min  D    =  diameter  r    =  radius  FT    =  Force  of  tension,  lbs,    1  lbs  =  0.454  kg  T    =  tension  force  per  width,  pli,    1  pli  =  175  N/m  

     (pli  =  Pounds  /  Lineal  Inch  of  width)  σ    =  web  stress,  psi,    1  psi  =  6.9  kPa  ε    =  web  strain,  dimensionless  E    =  Young’s  modulus,  psi,    100,000  psi  =  690  MPa  θ    =  wrap  angle,  degrees  or  radians  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Tension  Units  (SI)  

FT  Tension  Force  

Force  lbs  (kgf  or  N)  

T  Tension  

Force  per  Width  pli  (kgf/m)  

FT    =  10  kgf  FT    ~  100  N  

FT    =  10  kgf  w    =  0.5  m  T    =  20  kgf/m  T  ~  200  N/m  

FT  

FT  w,  width  wFT T=

TJWA  Inc.,  Copyright  2012   www.webhandling.com   26  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

Tension  Units  (English)  

FT  Tension  Force  

Force  lbs  

T  Tension  

Force  per  Width  pli  

FT    =  10  lbs   FT    =  10  lbs  w    =  10  in.  T    =  1  lbs/in  T  =  1  pli  

FT  

FT  w,  width  

FT  

FT  

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Webs   Tension   Rollers   Nips   Lateral   Wind   More  

What  tension  will  break  or  deform  a  web?  

The  Right  Tension  Qs  

What  is  stress?    What  is  strain?  

What  is  modulus?  TJWA  Inc.,  Copyright  2012   www.webhandling.com   28  

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Tension  Units  (SI)  

twF

FT  Tension  Force  

Force  lbs  (kgf  or  N)  

T  Tension  

Force  per  Width  pli  (kgf/m)  

σT  Tensile  Stress    Force  per  Area  lbs/in2  (kPa)  

FT    =  10  kgf  FT    ~  100  N  

FT    =  10  kgf  w    =  0.5  m  T    =  20  kgf/m  T  ~  200  N/m  

FT    =  100  N  w    =  1  m  t    =  25  µm  σT    =  4  MPa  

w  

t,  thickness  FT  

FT  w,  width  wFT T=

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Tension  Units  (English)  

FT  Tension  Force  

Force  lbs  

T  Tension  

Force  per  Width  pli  

σT  Tensile  Stress    Force  per  Area  

lbs/in2  

FT    =  10  lbs   FT    =  10  lbs  w    =  10  in.  T    =  1  lbs/in  T  =  1  pli  

FT    =  10  lbs  w    =  10  in  t    =  0.001  in  σT    =  1000  psi  

w  

t,  thickness  FT  

FT  w,  width  

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KEY  CONCEPT    

Stress  Stress  and  pressure  are  both  defined  in  units  of  force  per  areas.  To  berer  understand  any  web  process,  convert  forces  into  stresses  by  dividing  the  load  by  the  cross-­‐sec7onal  area  it  is  exerted  over.  

Use:  Machine  tension  is  commonly  measured  as  a  force  in  units  of  lbf,  kgf,  or  N.  To  compare  different  products  or  processes,  calculate  tensile  stress  by  dividing  tension  force  by  product  thickness  and  width.  

Example:    FT  =  50  lbf  creates  higher  stress  as  cross-­‐sec7onal  area  decreases.    For  w=50”  and  t=0.010”,  the  tensile  stress  is  a  low  100  psi.    For  w=50”  and  t=0.001”,  the  stress  is  1000  psi.    For  w=1”  and  t=0.001”,  the  stress  is  50,000  psi!  

!  

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Strain  Defined  

00

01

LL

LLL Δ

=−

L0  =  Dimension  of  zero  tension  web  

L0  

L1  

L1  =  Dimension  of  tensioned  web  

ΔL  

Strain,  ε,  is  the  ra7o  of  the  change  in  a  dimension  over  the  untensioned  dimension.  For  tensioning,  strain  is  the  change  in  length  over  the  untensioned  length.  

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KEY  CONCEPT    

Strain  Strain  is  dimensional  change  in  a  solid  material  in  reac7on  to  stress.  For  posi7ve  stresses,  materials  will  elongate  in  the  direc7on  of  the  stress.  For  nega7ve  stress  or  pressure,  materials  will  compress.  Strain  is  calculated  as  the  change  in  dimension  divided  by  the  original  dimension.  

Use:  When  a  web  is  forced  to  conform  around  varia7ons  in  roller  parallelism  or  diameter,  the  web’s  response  will  begin  by  determining  the  web  strain.        Example:  If  a  roller  diameter  varies  from  5.00”  to  5.05”,  the  web  develop  a  1%  strain  differen7al  to  conform  to  roller.  

!  

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Tensile-­‐Elonga7on  Tes7ng    

Tension    or    

Force  

%ElongaOon            

Most  tensile-­‐elonga7on  tes7ng  focuses  on  measuring  ul7mate  break  strength  or  elonga7on,  but  should  provide  other  mechanical  proper7es.    

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Images  courtesy  of  Instron  

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Tensile  Elonga7on  Tes7ng  Yielding  (2)  is  a  permanent,  non-­‐elas7c  dimensional  change.    

Each  material  has  a  characteris7c  stress  and  strain  where  yield  begins  –  called  the  yield  point.    

N  TJWA  Inc.,  Copyright  2012   www.webhandling.com   35  

Break  with  brifle  fracture  

Break  with  ducOle  fracture  

Web  handling  systems  are  designed  to  avoid  reaching  a  material’s  

yield  point.  

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Break  Point  

The  break  point  is  the  ul7mate,  catastrophic  end  to  high  elonga7ons  or  high  stresses.  

Brirle  materials  have  lirle  yielding  prior  to  breakage.    Duc7le  materials  will  have  significant  yielding  prior  to  the  break  point.  

σstress  

strain,            ε

Force  Area  

Break  with  brifle  fracture  

(%)  

Break  with  ducOle  fracture  

X  

X  

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The  ‘magic’  tension  is  1  lb/in  or  1  PLI.

Typical  Tensions  

80-­‐90%  of  processes  run  between  0.3  and  3.0  PLI

95-­‐98%  of  processes  run  between  0.1  and  10.0  PLI

175  N/m  or  18  kgf/m  

50  N/m  or  500  N/m  

17  N/m  or  1750  N/m  TJWA  Inc.,  Copyright  2012   www.webhandling.com   37  

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Web  Handling  Stress    

εσΔ

Δ=E

ducOle  break  σ

stress  

strain,            ε

(force/area)  

x   x  brifle  break  

yield  point  

elasOc  strain  

(%)  

Typical  web  handling  tensions  are  10  to  20%  of  a  web’s  yield  or  break  stress.  

Tension  setpoint  should  be    10-­‐20%  of  yield  or  break  point.  

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Why  is  a  5:1  or  10:1  tension  safety  factor  needed?  

Tension,  Strain,…  Qs  

Tensioning  systems  control  average  tension.    

Web  and  equipment  imperfec7ons  can  create  larger  MD  and  TD  

varia7ons  from  average  tension.  

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Visualizing  Tension  Varia7ons  

+30  -­‐20  

+20  -­‐5  

+20  

72  

A  thermostat  will  indicate  the  temperature  at  one  point,  but  the  temperature  will  vary  from  point-­‐to-­‐point  within  the  house.  

40lbs  1PLI  

80lbs  2PLI  70lbs  

0PLI  

1.5PLI   0.2PLI  

1.8PLI  

A  load  cell  or  dancer  roller  will  control  or  indicate  the  tension  at  one  point  in  a  process,  but  the  tension  will  vary  through  the  process,  both  MD  and  TD.  

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Sources  of  MD  and  TD  Tension  Varia7ons  

Baggy  Web  

T  

width  

T  

width  

Misalignment   Drag  and  Iner7a  

T  

MD  

T  

width  

Diameter  Varia7ons  

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From  data  given  in  the  next  few  slides,  what  would  be  the  right  tension  for  PET,  PP?  

How  about  at  elevated  temperatures?  

The  Right  Tension  Qs  

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Some  Proper7es  of  PET  

From  DuPont  Teijin  Films  Mylar®  Data  Sheet  

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Yield  Stress  and  Temperature  Stress  

-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐  

Stress  -­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐  

From  DuPont  Teijin  Films  Mylar®  Data  Sheet  

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Measuring  Modulus    

twF

=σStress,  p

si  

Strain,%            

F  

L  

dL  

Calculate  modulus  by  noOng  the  length  change  of  a  strip  under  a  

known  weight  (tension).  

LLδ

ε =

( )twLFLEδδε

δσ==

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Modulus  is  Important  

It  is  quite  common  to  find  quality  labs  measuring  break  or  yield  points,  but  

never  calcula7ng  modulus.

Knowing  modulus  is  quite  useful  in  web  handling  and  

cri7cal  to  lamina7ng.

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Modulus?  We  Don’t  Do  Modulus!    

Force,  lbs  

Strain,%            

Quality  labs  commonly  have  tensile  elonga7on  testers  for  break,  peal  ,  or  tear  tes7ng,  but  when  asked  to  measure  

modulus,  1)  have  never  done  it,  2)  don’t  know  how  to,  and  3)  find  no  help  in  the  equipment  manual...  

=  very  frustrated  web  handler.  

Output  Data    

Unshared  Data!    

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Modulus  Defined    

DucOle  Break  σStress  

Strain,            ε

(psi)  

x  x  

Ε=Δσ/Δε

Brifle  Break  Yield  Point  

ElasOc  strain  

(%)  

Modulus  is  the  ini7al  slope  the  stress-­‐strain  curve.    It  describes  a  web’s  “stretch-­‐ability.”  

σ

ε

High  modulus:  Foils  

Papers  Polyester  

BOPP  HDPE  

PE,  Vinyl,  PU  

Low  modulus:  

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Using  Elas7c  Modulus  

The  elas7c  modulus  is  a  material  property  that  describes  the  rela7onship  of  stress  to  strain.  

εσΔ

Δ=E

σstress  

strain,            ε

(force/area)  

(%)  

Eεσ =

ε =

ε    =  0.01  =  1%  E    =  500,000  psi  σ    =  εE  =  (0.01)(500000)  =  5000  psi    =  5PLI  /  mil  

σ    =  0.5  PLI  /  0.5  mil  =  1000psi  E    =  200,000  psi  ε    =  σ/E  =  (1000)/(200000)  =  0.005    =  0.5%  

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Tension/Strain  Ra7o  

For  webs  with  difficult  to  define  thickness,  tension  to  strain  ra7o  can  be  a  useful  replacement  for  modulus.  

εΔΔ

=TK '

Tension  

strain,            ε

(force/width)  

(%)  

'KT ε=

'KT

ε    =  0.01  =  1%  K’    =  50  PLI  T    =  εK’=  (0.01)(50)  =  0.5  PLI  

T  =  2  PLI  K’    =  40  PLI  ε    =  T/K’  =  (2)/(40)  =  0.05  =  5%  

T  

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Fric7on  Coefficient  

The  fricOon  coefficient,  m,  is  the  raOo  of  fricOonal  force  relaOve  to  normal  load.    Two  common  fricOon  coefficient  measurement  methods  are:  

Sliding  Block  Test  

WF

FricOon  

Applied  Force  W  

LRISE  

LRUN  

RUN

RISE

LL

Incline  Plane  Slide  Test  

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The  Belt  Equa7on  

µθeFF

LO

HI =

For  simple  rollers,  the  belt  equa7on  is  a  useful  equa7on,  describing  the  fric7on  that  develops  between  a  web  and  roller.  

FHI = High Tension, lbs FLO = Low Tension, lbs µ = Web-roller coefficient

of friction θ = Wrap angle, radians

Web  slides  over  non-­‐rota7ng  cylinder  

θ

FHI

FLO Force  to  Begin  Slip  and  Lib  

θ

FLO

Force  to  Begin  Slip  and  Drop    

FHI

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Measure  Fric7on  (Web-­‐Roller)  

µθeFF

LO

HI =

θ

TLO THI

W

( )θ

µ LOHI FFln=

Use  the  belt  equaOon  to  determine  web  to  roller  fricOon.  1.  Take  a  strip  of  web  and  tape  loops  on  each  end.    

Arach  a  mass  to  one  end  and  weight  it  with  the  force  gauge.  

2.  Wrap  the  target  roller  with  a  known  wrap  angle.    

3.  If  necessary,  hold  the  roller  so  it  doesn’t  rotate.  4.  Pull  with  the  force  gauge  un7l  the  web  slides  on  

the  roller,  note  the  force,  F  (Tension  ra7o  is  F/W).  

5.  For  a  second  data  point,  push  with  the  force  gauge,  dropping  the  tension  un7l  the  web  slips  the  other  direc7on.    Note  the  force,  F  (Tension  ra7o  is  W/F).  

6.  Enter  the  tension  ra7o  and  wrap  angle  (in  radian)  in  the  belt  equa7on  and  calculate  fric7on  coefficient.  

F  

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What  is  the  Poisson's  ra7o?  

The  Right  Tension  Qs  

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Strain  =  Dimensional  Change  

FT  =  0   FT  >  0  

For  solid  materials,  tensile  and  compressive  stresses  do  not  significantly  change  density.      

Increases  in  length  (MD  strain)  is  offset  by  decreases  in  the  width  and  thickness.  

Tensioning  Increases  Length  

Thickness  &  Width    

Decrease  

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TD  Contrac7on  

⎟⎠

⎞⎜⎝

⎛−=−=twEFX

XY ννεε

)(0 XT ww νεδ −= FX  

Tension,  thickness,  width,  modulus  (stretchiness)  and  Poisson’s  raOo  determine  how  much  the  web  will  contract.  

No  Tension  

Tensioned  

width  

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What  is  elas7city?    What  is  visco-­‐elas7city?  

The  Right  Tension  Qs  

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KEY  CONCEPT    

ElasOc  vs.  ViscoelasOc  Behavior  Elas7c  materials  respond  to  stress  with  an  immediate  strain  change  and  recover  to  ini7al  dimensions  when  stress  is  removed.  Viscoelas7c  materials  will  have  a  7me-­‐dependent  response  to  stress  or  strain.  

Use:  Most  webs  can  be  considered  elas7c.    Example:  Tensioning  a  web  will  create  an  immediate  stretch  (a.k.a.  strain),  that  is  independent  of  7me  or  speed.  

!  

Use:  Under  constant  load,  a  viscoelas7c  webs  will  con7nue  to  stretch  over  7me.    Example:  Hang  a  weight  on  a  strip  of  vinyl  electrical  tape  and  measure  the  length  over  7me.  

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Elas7c  Behavior  

σ

ε

7me  

7me  

Elas7c  Response  

Response  

Input  

Elas7city  ElasOc  materials  will  respond  proporOonally  and  immediately  (at  the  speed  of  sound).  

Applied  stress  will  result  in  web  strain.  

Applied  strain  will  result  in  web  stress.  

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Viscoelas7c  Behavior  -­‐  Creep  

σ

ε

7me  

7me  

Elas7c  Response  

Viscoelas7c  Response  

Response  

Input  

Creep  Test  

A  constant  stress  is  applied  to  the  web.  

Response  is  strain.  

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VE  Behavior  –  Stress  Relaxa7on  

ε

σ

7me  

7me  

Elas7c  Response  

Viscoelas7c  Response  

Response  

Input  

Stress  Relaxa7on  A  constant  strain  is  applied  to  the  web.  

Response  is  stress.  

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Viscoelas7c  Behavior  -­‐  Creep  

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Viscoelas7c  Behavior  -­‐  Creep  

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Viscoelas7c  Behavior  -­‐  Creep  

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1.2  Bagginess  and  Curl  What  is…?  What  causes…?  

Timothy  J.  Walker,  TJWalker  +  Associates  Inc.  1620  Edgcumbe  Road,  Saint  Paul,  MN  55116  

[email protected]        www.webhandling.com          651.686.5400  

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How  thick  is  a  web?  

}  The  answer  to  this  is  oben  a  easy,  but  not  always.  

•  Easy:  Foil,  most  films,  coated  papers  •  Confusing:  Papers?  Thickness  can  be  measured,  but  are  more  oben  described  by  ‘weight’  (i.e.  mass  per  area).    

•  Difficult:  Non-­‐wovens,  tex7les,  porous  films  (anything  easily  compressed).    

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Thickness,  Thickness  Profile  

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What  is  a  web’s  thickness  profile?  

}  Thickness  mapped  vs.  width.    

}  Does  the  web  have  thick  edges?  Lanes?    

}  Is  the  thickness  profile  consistent  over  7me?    

}  Does  the  product  have  inten7onal  thickness  profile  (including  coa7ngs  or  cutouts)?  

}  How  is  thickness  profile  measured?  (Besides  in  winding  defects)  

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Thickness,  Thickness  Profile  

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}  Manual  physical  measurement  Increase  accuracy  by  measure  a  stack  mul7ple  sheets  10  layers,  then  divide  by  number  in  stack.  

}  Automated  Off-­‐Line  }  Beta  radia7on  transmission  }  Capacitance  }  Physical  contact  (LVDT)  }  Mass  per  area  weight  sampling  

TJWalker  +  Associates  Inc.   www.webhandling.com    68  

Measuring  Thickness  

Capacitance  

Absolute  Contact  

Combined  

www.oaklandinstrument.com  

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}  Automated  On-­‐Line  }  Radia7on  (beta,  x-­‐ray)  transmission  }  Radia7on  (gamma)  backscarer  }  Near  infrared  (transmission,  reflec7on)  }  Capacitance  }  Laser  micrometer  }  Laser  curtain  on  roller  

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Measuring  Thickness  

Scanning  

www.ndc.com  

Same  Spot  Differen7al  

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Thickness  Profile  Measurement  Op7ons  

www.sbi.at  

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Closed-­‐Loop  Thickness  Profile  Control    

Thickness  profile  measurement  is  oben  

combined  with  sobware  and  controls  to  make  automa7c  adjustments  of  

extrusion  or  coa7ng  dies.    

www.sbi.at  

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Solu7ons  to  Imperfect  Webs  

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Baggy  Webs  

Cambered  Webs  

Cambered  and  Baggy  Webs  

Curled  Webs  

Non-­‐Flat  Webs  

Bagginess  and  camber  are  oben  strongly  related  to  

winding.  

Curl  is  strongly  related  to  coa7ng  and  lamina7ng  

(and  some7mes  winding).  

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What  is  web  bagginess?  What  is  web  camber?  What  is  web  curl?  

Imperfect  Web  Solu7ons  Ques7ons  

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How  are  they  measured?  

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Definition: A web with crossweb length variations. A web is considered baggy if the strain of tension does not pull the web to flatness.

Measuring Bagginess: •  There are many methods to qualify or

quantify bagginess. •  Most are difficult, expensive, or time-

consuming. •  A manual pull out and 1-to-5 grading

may be the simplest. •  For films, roll hardness can be a

useful predictor or bagginess.

2A:  Baggy  Web  

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2B:  Skew/Camber  

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Definition: Skew (a.k.a. Camber) is the most common term for a non-straight web. A cambered web will bend left or right when rolled out under no tension. (Slit strands cut from baggy web may be skewed.)

Skew

Measuring Skew: Skew is typically measured by pulling, rolling, or sweeping out a long sample on a tabletop or floor and quantifies the left or right bias of the web relative to straightness.

Long and Loose Edge

Short and Tight Edge

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Definition: Curl is the tendency for a web to not lay flat (especially coated or laminated webs), instead form into a curved or scroll shape.

Measuring Curl: Curl is best measured in narrow strip samples. Strips samples are usually cut in the machine or transverse (crossweb) direction, but may be cut at any angle.

2C:  Web  Curl  

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Tensioning  Baggy  Webs  

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T0 = 0

T1 > 0

T0 = 0

T1 > 0 T2 > T1

The ideal web carries tension uniformly across the web width.

For an imperfect web, tension stretches the short lanes first. When short lanes are stretched to equal the long lanes, the web appears taut.

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Cambered  Web  (a.k.a.  Skewed  Web)  

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A cambered or skewed web has one side longer than the other.

A cambered web will curve left or right when rolled or swept out on the floor.

Straight Web

Cambered Web

Long Side

Short Side

Long Side

Short Side

Cambered Web Cut into Strips

All Lanes Equal

Straight Web Cut into Strips

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SliOng  Baggy  or  Cambered  Web  

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If a slit roll is cut from a baggy web across a lane in the transition

from short to long lanes, the slit roll will be cambered.

Short Lane

Long Lane

Short Lane

Short Edge Long Edges

Short Edge

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What  causes  TD  length  varia7ons  in  paper,  film,  or  foil  manufacturing  ?    

Imperfect  Web  Solu7ons  

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A short, but not complete list why paper, film, and foil making has TD length variations includes: Machine misalignment Crossweb moisture variations Uneven calendaring Variation in roller diameters Uneven web paths or nip loads in blown film collapsing Cooling or stress variations in tenter quenching zone Nip variations in laminating or film extrusion nips

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More  on  Curl…  More  on  Bagginess…  

More  on  curl  in  Sec7on  4  Nipped  Rollers  and  Lamina7ng  

More  on  bagginess  in  Sec7on  6  Winding  and  Roll  Quality  

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Tension  Control  1.  How  do  you  determine  the  target  web  handling  tension  for  a  

given  product  in  units  of  force  or  force  per  width?  2.  What  are  three  causes  of  tension  varia7ons  across  the  web’s  

width  (i.e.,  things  that  create  a  loose  edge  or  center).  3.  What  advantage  does  a  dancer  roller  have  over  a  tension  load  cell  

roller  in  a  closed-­‐loop  tension  control  system.  4.  What  advantage  does  a  tension  load  cell  roller  have  over  a  dancer  

roller  in  a  closed-­‐loop  tension  control  system.  5.  What  are  advantages  and  disadvantages  of  draw  control  (a.k.a.  

speed  ra7o  control).  

Web  Handler’s  Quiz  

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Rollers,  TracOon,  Nipping/LaminaOng  6.  What  is  a  reasonable  specifica7on  for  roller  alignment  in  mm/m,  

milli-­‐radians,  or  mils/in.?  7.  Which  rollers  in  a  process  are  like  to  have  above  average  

diameter?  Why?  8.  When  is  a  nipped  roller  needed  on  a  driven  roller  separa7ng  two  

tension  zones?  9.  What  is  a  simple  measurement  to  determine  if  two  nip  rollers  are  

pressing  together  uniformly?  10.  If  a  two-­‐layer  laminate  product  curls  to  the  top  layer  in  the  

machine  direc7on,  which  would  reduce  the  curl:  increase  or  decrease  the  top  layer  pre-­‐laminate  tension?  

Web  Handler’s  Quiz  

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Tracking,  Wrinkling  11. For  automa7c  guiding  in  the  middle  of  a  process,  which  is  

preferred:  a  steering-­‐type  guide  or  a  displacement-­‐type  guide?  12.  In  a  ver7cal  span,  which  will  cause  the  web  to  track  off  center  

more,  a  roller  tram  (misalignment  vs.  machine  center  line)  or  level  error  (misalignment  rela7ve  to  gravity)?  

13. Name  four  mechanisms  that  will  cause  the  web  to  track  off  centerline  through  a  series  of  rollers.  

14.  If  you  see  wrinkles  at  low  speeds,  but  the  wrinkles  go  away  at  higher  speeds,  what  is  the  most  likely  reason?  

Web  Handler’s  Quiz  

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Wrinkling,  Spreading  15.  If  a  roller  is  deflec7ng  into  a  bowed  shape  due  to  gravity,  which  

direc7on  is  it  best  NOT  to  approach  that  roller  if  you  don’t  want  to  wrinkle:  ver7cally  from  above,  ver7cally  from  below,  or  horizontally?  

16.  What  spreader  or  an7-­‐wrinkle  rollers  do  NOT  have  a  rubber  surface?  

Web  Handler’s  Quiz  

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Winding,  Unwinding  17.  If  you  center  wind  at  constant  torque,  what  is  the  percent  change  

in  tension  if  the  roll  diameter  changes  from  100  mm  to  400  mm?  18.  If  you  wind  a  paper  and  a  film  product  of  equal  thickness  and  roll  

geometry  at  the  same  combina7on  of  winding  condi7ons  (tension,  nip,  taper,  speed),  which  is  likely  to  have  higher  internal  roll  pressures?  

19.  Name  three  advantages  of  using  a  nipped  or  gap-­‐controlled  roller  ahead  of  winding?  

20.  What  is  an  easy  way  to  determine  if  an  unwinding  roll  is  cinching  (i.e.,  some  of  the  roll’s  layers  are  slipping  in  the  machine  direc7on?    

Web  Handler’s  Quiz  

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Apply  Torque  to  Rollers  and  Rolls  

Driven  Rollers/Rolls  Clutched  Rollers/Rolls  

Braked  Rollers/Rolls  

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Open-­‐Loop  Torque  Motor  

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Unwinding  Op7ons  

Open-­‐Loop  Brake  

Brake  with  Diameter  Feedback  

Brake  with    Load  Cell  Feedback  

Brake  with    Dancer  Feedback  

Motor  with  Diameter  Feedback  

Motor  with    Load  Cell  Feedback  

Motor  with    Dancer  Feedback  

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Unwinding  Op7ons  

Surface  Roller  Driven  Unwind  

Brake  with    Load  Cell  Feedback  

Brake  with    Dancer  Feedback  

Surface  Belt  Driven  Unwind  

VV

V

V

Surface  driven  unwinds  are  typically  speed  ra7o  controlled,  but  could  be  closed-­‐loop  tension  control  with  load  

cell  or  dancer  feedback.  

Surface  roller  /belt  

Surface  roller  /belt  

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Unwinding  Peel  Roller  Op7ons  

Driven  Unwind  with  Idling  Peel  Roller  

Braked  Unwind  with  Idling  Peel  Roller  

Peel  rollers  are  lightly  loaded  against  the  unwinding  roll  and  may  be  driven  to  reduce  the  tension  increase  due  to  peel  force.    

Braked  Unwind  with  Driven  Peel  Roller  

Driven  Unwind  with  Driven  Peel  Roller  

Peel  roller  are  used  to  reduce  web  path  varia7ons  from  peel  force  

varia7ons  (for  unlinered  adhesive  coated  webs  or  other  products  with  side  A  to  B  bonding  forces).  

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Web  Support  /  Transport  /  Tensioning  Op7ons  

Rectangular  Bar  /  Plate  

Curved  Bar  /  Plate  

De-­‐Curl  Bar  /  Roller  

Roller  

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Web  Support  /  Transport  /  Tensioning  Op7ons  

+P  

Air  Greased  Bar  /  Plate  

Roller  Curved  Bar  /  Plate  

+P  

Air  Float  Bar  /  Plate  

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Web  Support  /  Transport  /  Tensioning  Op7ons  

Vacuum  Roller  

Nipped  Roller  

Unnipped  Roller  

-­‐P  

µθeTT

LO

HI = NT µ=Δ ( )TwrPfT ,,,,, θµ=Δ

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Roller  Op7ons  –  Live  vs.  Dead  Shab,  Idler  vs.  Driven  

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Live  Sha`  Idler  Roller  Dead  Sha`  Idler  Roller  

Bearings  

Live  Sha`  Driven  Roller  

Shab  rotates  with  shell.  Shab  does  

not  rotate.  

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Winding  Op7ons:  Center  Driven  

Center+Surface  Driven  Winder  

Center  Driven  Winder  

Surface  Driven  Winder  

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Open-­‐Loop  Torque  Motor  

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Winding  Op7ons:  Center  Driven  

Open-­‐Loop  Clutch  

Clutch  with  Diameter  Feedback  

Clutch  with    Load  Cell  Feedback  

Clutch  with    Dancer  Feedback  

Motor  with  Diameter  Feedback  

Motor  with    Load  Cell  Feedback  

Motor  with    Dancer  Feedback  

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Winding  Op7ons:  Surface  Driven  

Surface  Roller  Driven  Winder  

VV

Surface  Belt  Driven  Winder  

V

V

Brake  with    Load  Cell  Feedback  

Surface  roller  /belt  

Brake  with    Dancer  Feedback  

Surface  roller  /belt  

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Winding  Op7ons:  Center-­‐Surface  Driven  

Surface  Belt  Driven  Winder  

V

V

Brake  with    Load  Cell  Feedback  

Surface  roller  /belt  

Brake  with    Dancer  Feedback  

Surface  roller  /belt  

Surface  Roller  Driven  Winder  

VV

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Roller  Op7ons  

Live  Sha`  Idler  

Dead  Sha`  Idler  

Dual  Bearings  

Direct  Driven  Roller  

Torque  Driven  Roller  

Tendency  Driven  Roller  

Idler  Roller  Op7ons   Driven  Roller  Op7ons  

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Can7levered  Roller  Op7ons  

Dual-­‐Wall  CanOlevered  Sha`  

CanOlevered  Support  

CanOlevered  Sha`    

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Web  Proper7es  WHAT  IS  IT  Descrip7on    What  are  the  sub-­‐technologies?  

Intro  Level  Learning?  •  Thickness,  Width  •  Young’s  Modulus  of  Elas7city  •  Surface  (Fric7on,  Roughness,  

Porosity)  •  Breaking,  Yielding  •  Poisson’s  Ra7o  •  Layers?  Laminate?  Coated?    

 

Advanced  Level  Learning?  •  Visco-­‐elas7city?  •  Anisotropy?  (MD-­‐TD  Differences)  •  Thickness  measurement  and  profiles  •  Bagginess  and  Curl  •  Memory  •  Thermal  Expansion  •  Hygroscopic  Expansion  •  Variable  geometry:  discon7nui7es  

(holes,  patches),  profiled  cross-­‐sec7on,  widgets  

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Web  Proper7es  WHAT  IS  IT  Where  is  it  used?  

Paper,  Film,  Foil,  Packaging,  Medical/Pharmaceu7cal,  Electronics,  Construc7on,  Magne7c,  Imaging,  Op7cal,  Barery,  Solar,  Food,  Carpet/Tex7le  

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WH  Technology  PROFIT  (or  LOSS)  =  BENEFITS  -­‐  COSTS  What  is  profit  (or  loss)  of  doing  it  well?    •  Con7nuous  processing  webs  is  more  efficient  (higher  yields,  higher  

produc7vity)  than  sheet  or  part  processing.    •  Using  thin  webs  reduces  material  costs.  •  Using  marginal  quality  (baggy)  webs  to  make  product  reduces  

waste,  lowers  costs.