6 medium material density, 7 min. material thickness (rewinder), 8 min. material thickness (unwinder) – Lenze DSD User Manual
Page 218: 9 coil and winding shaft moment of inertia, 7applications

7
Applications
7.22
Winding drive for rewinder/unwinder
218
Lenze · Drive Solution Designer · Manual · DMS 4.2 EN · 12/2013 · TD23
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7.22.6.6
Medium material density
7.22.6.7
Min. material thickness (rewinder)
If paper is used as material, usually only the grammage [g/m
2
] is known.
Conversion from grammage [g/m
2
] to material thickness [s]:
Example:
7.22.6.8
Min. material thickness (unwinder)
7.22.6.9
Coil and winding shaft moment of inertia
Symbol
Description
ρ
Specific density of winding material
• Value can be entered directly or selected from the "Physical coefficients" table.
Density of winding material
Symbol
Description
s
min
If different material thicknesses are used, the smallest material thickness must be entered
(worst case).
• DSD uses this value to calculate the increase in diameter during the acceleration phase start-
ing from the min. reel diameter (standstill) to the dimensioning diameter (max. speed).
s Material thickness [mm]
m Grammage [g/m
2
]
ρ Density [kg/dm
3
]
• Paper: ρ = 0.9 kg/dm
3
m 80 g/m
2
ρ 0.9 kg/dm
3
s
m
ρ 1000
⋅
---------------------
=
s
80
0.9 1000
⋅
-------------------------
0.088 mm
=
=
Symbol
Description
s
min
If different material thicknesses are used, the smallest material thickness must be entered
(worst case).
• DSD uses this value to calculate the decrease in diameter during the braking phase starting
from the dimensioning diameter (max. speed) to the min. reel diameter (standstill).
Symbol
Description
J
Cor
Moment of inertia of the empty coil and winding shaft / coil intake
• Value can be entered directly or calculated using the inertial calculator.