Winder Center Driven

Spooler

Symbol	Description	Units
J_DM	Inertia of drive mechanism	kg-m²
T_DM	Torque of drive mechanism	Nm
a_DM	Acceleration of drive mechanism	rad/s²
h	Efficiency of drive mechanism
J_R	Inertia of roller	kg-m²
r_R	Radius of roller	m
r_RM	Radius of roller with material	m
r_MaxRM	Max radius of roller with material	m
J_FR	Inertia of feed roll	kg-m²
r_FR	Radius of feed roll	m
n_FR	Number of feed rolls
W_M	Width of material	m
r_M	Density of material	kg/m³
F_Thrust	Thrust force	N
F_Tension	Web tension	N
d_M	Material thickness	m
d_MS	Material diameter for spooling	m
J_Load	Inertia of payload	kg-m²

Notes:

The r_MaxRM input is the roller starting radius with material for Unwinding applications.
An Unwinding Spooling application starts at the r_MaxRM and the spool is assumed fully wrapped at this radius.
If d_M = 0, then the roller is always assumed to be full throughout the entire sequence. I.e. r_RM = r_MaxRM and the roller is assumed full of material.
r_MaxRM is not used for Winding applications unless d_M = 0
d_MSmust be > 0