Winder Center 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
rRM Radius of roller with material m
rMaxRM Max radius of roller with material m
JFR Inertia of feed roll kg-m2
rFR Radius of feed roll m
nFR Number of feed rolls  
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 rMaxRM input is the roller starting radius with material for Unwinding applications.
  2. An Unwinding Spooling application starts at the rMaxRM and the spool is assumed fully wrapped at this radius.
  3. If dM = 0, then the roller is always assumed to be full throughout the entire sequence. I.e. rRM = rMaxRM and the roller is assumed full of material.
  4. rMaxRM is not used for Winding applications unless dM = 0
  5. dMSmust be > 0
     

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