Winder Surface Driven

Spooler

Symbol Description Units

JDM

Inertia of drive mechanism

kg-m2

TDM

Torque of drive mechanism

Nm

aDM

Acceleration of drive mechanism

rad/s2

h

Efficiency of drive mechanism

1

JR

Inertia of roller

kg-m2

rR

Radius of roller

m

JFR

Inertia of feed roll

kg-m2

rFR

Radius of feed roll

m

nFR

Number of feed rolls

JC

Inertia of core

kg-m2

rC

Radius of core

m

rCM

Radius of core with material

m

rMaxCM

Max Radius of core with material

m

WM

Width of material

m

rM

Density of material

kg/m3

FThrust

Thrust force

N

FTension

Web tension

N

dM Material thickness m
dMS Material diameter for spooling m

JLoad

Inertia of payload

kg-m2

Notes:

  1. The rMaxCM input is the core starting radius with material for Unwinding applications.
  2. An Unwinding Spooling application starts at the rMaxCM and the spool is assumed fully wrapped at this radius.
  3. If dM = 0, then the core is always assumed to be full throughout the entire sequence. I.e. rCM = rMaxCM and the core is assumed full of material.
  4. rMaxCM is not used for Winding applications unless dM = 0
  5. dMSmust be > 0
     

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