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

Table 3

Comparisons of calculated critical rolling speeds with test data.

Number	(mm)	(mm)	(mm)	(mm)	(MPa)	(MPa)	(MPa)	(m)	Critical rolling speed (m/min)
									Test	Calculated	Relative error
1	2.000	0.789	0.577	1206	180	189	810	0.30	1090	1240	13.76%
2	1.974	0.719	0.512	1018	180	190	845	0.30	1229	1263	2.77%
3	1.962	0.658	0.472	1006	150	160	810	0.30	1271	1287	1.26%
4	1.845	0.645	0.468	1006	150	160	810	0.30	1274	1300	2.04%
5	2.022	0.659	0.468	1006	150	160	810	0.30	1274	1277	0.24%
6	1.966	0.720	0.513	1018	180	190	840	0.30	1156	1271	9.95%
7	1.966	0.720	0.513	1018	180	190	810	0.30	1059	1206	13.89%
8	2.000	0.755	0.568	1206	156	197	810	0.30	1220	1315	7.79%
9	1.998	0.754	0.575	1206	160	200	820	0.29	1188	1329	11.87%
10	1.964	0.718	0.517	1006	176	119	830	0.30	1300	1305	0.38%