Normalized radius for web length of 4000 (m)

r/r_c

1.0 - 3.7

Reference value for friction force

F_cr (kN)

50.0

Reference value for tangential stress

σ_θref (MPa)

8.0

Maximum tension limit

T_wmax (N/m)

200

Minimum tension limit

T_wmin (N/m)

0

Maximum nip-load limit

N_max (N/m)

200

Minimum nip-load limit

N_min (N/m)

0

Web thickness

h_w (μm)

25

Web width

W (m)

1.0

Wound roll radial Young’s modulus

(Pa)

A = 123, n = 1.0

Wound roll circumferential Young’s modulus

E_θ (Pa)

5.18 × 109

Core young’s modulus

E_c (Pa)

17.0 × 109

Core radius

r_c (m)

0.038

Winding velocity

V (m/min)

100

Coefficient of friction

Μ_eff

0.3