Mode Shape Description and Model Updating of Axisymmetric Structures Using Radial Tchebichef Moment Descriptors

Table 9

Frequency deviation and RTM correlation values before and after model updating.

Test		FEM				Frequency deviation (%)		MAC (%)		RTMAC (%)
		Initial FEM		Updated FEM		Initial	Updated
Mode	Natural frequency	Mode	Natural frequency	Mode	Natural frequency			Initial	Updated	Initial	Updated
1	634.67	2	714.66	1	642.48	12.60	1.23	53.57	78.68	91.74	92.02
2	642.16	1	714.40	2	643.48	11.25	0.21	49.73	76.46	91.74	93.50
3	864.28	3	787.41	3	853.85	−8.89	−1.21	98.78	98.79	96.81	96.91
4	1617.86	4	1471.24	4	1598.17	−9.06	−1.22	68.15	68.48	83.74	84.12
5	1620.11	5	1473.49	5	1600.44	−9.05	−1.21	57.89	58.65	81.92	82.56
6	1928.52	9	2258.94	6	1935.65	17.13	0.37	78.73	55.17	84.68	83.66
7	1953.65	8	2258.86	7	1943.67	15.62	−0.51	79.88	61.24	86.85	85.78
8	2452.27	7	2253.15	9	2445.97	−8.12	−0.26	93.83	94.30	86.02	86.40
9	2464.95	6	2251.54	8	2444.09	−8.66	−0.85	93.00	92.86	86.99	87.43
10	3019.31	10	2780.27	10	3017.49	−7.92	−0.06	89.98	89.94	87.02	86.99
11	3521.61	12	3266.38	13	3544.50	−7.25	0.65	77.84	76.61	75.46	76.85
12	3526.16	11	3265.81	12	3543.99	−7.38	0.51	80.84	82.86	79.19	80.61
13	3912.75	16	4325.20	14	3912.86	10.54	0.00	16.45	80.70	72.05	74.44