Winder Surface Driven

Symbol	Description	Units
F_Tension	Tension due to Hanging Load	N
m_HL	Mass of Hanging Load	Nm
m_MHL	Material mass per length	kg/m
L_MHL	Length of material from Pulley to Handing Load	m
g	Acceleration due to gravity = 9.81	m/s²
a	Material acceleration	m/s²
J_P	Inertia of pulley	kg-m²
a_P	Acceleration of pully	rad/s²
r_P	Radius of pulley	m

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	1
J_R	Inertia of roller	kg-m²
r_R	Radius of roller	m
J_FR	Inertia of feed roll	kg-m²
r_FR	Radius of feed roll	m
n_FR	Number of feed rolls
J_C	Inertia of core	kg-m²
r_C	Radius of core	m
r_CM	Radius of core with material	m
r_MaxCM	Max Radius of core with material	m
W_M	Width of material	m
r_M	Density of material	kg/m³
F_Thrust	Thrust force	N
F_v	Force vector	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

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

Material direction depends on the configuration as Winder or Unwinder
Winder	Start of Sequence, the Core is empty Positive velocity adds material to the Core
Unwinder	Start of Sequence, the Core is full Positive velocity removes material from the Core