Multiple-Modal-Coupling Modeling and Stability Analysis of Cold Rolling Mill Vibration

Table 1

Parameters of mill structure, rolling process, and strip material.

(kg)	(kg)	(kg⋅m^2)	(N⋅m^−1)	(N⋅m^−1)	(N⋅m⋅rad^−1)	(N⋅s⋅m^−1)	(N⋅s⋅m^−1)
9200	203200	1381	1 × 10^9	6.9 × 10^10	7.9 × 10^6	5 × 10^4	1.64 × 10^7
(N⋅m⋅s⋅rad^−1)	R (m)	(m)	(m)	(GPa)		(mm)	(mm)
4178	0.3	4.75	4.75	210	0.3	0.789	0.577
(mm)	(MPa)	(MPa)		(m⋅s)	H (mm)	(MPa)
1206	180	189	0.04	19	2	810	0.29