Stability Analysis of a Nonlinear Coupled Vibration Model in a Tandem Cold Rolling Mill

Table 1

Rolling conditions.

Parameters	#1 stand	#2 stand	#3 stand	#4 stand	#5 stand
Entry thickness, hin (mm)	2.000	1.269	0.762	0.460	0.300
Exit thickness, hout (mm)	1.269	0.762	0.460	0.300	0.200
Rolling force, P (kN)	7838.863	8455.166	7781.567	7500.996	7722.711
Exit tension, Tf (MPa)	140.554	165.252	188.160	205.575	68.000
Entry tension, Tb (MPa)	55.000	140.554	165.252	188.160	205.575
Friction coefficient, μ	0.065	0.060	0.040	0.030	0.020
Roll velocity, Vr (m s^−1)	3.381	5.652	9.425	14.441	22.121
Strip entry speed, (m s^−1)	2.250	3.546	5.903	9.774	14.977