Numerical and Experimental Modal Analysis Applied to an Optical Test System Designed for the Form Measurements of Metre-Scale Optics

Table 1

Frequency and MAC discrepancies between the numerical and the experimental models before and after the model updating procedure.

Mode n°	EMA freq (Hz)	FEM freq (Hz)	FEMUPD freq (Hz)	FEM error (%)	FEMUPD error (%)	MAC	MACUPD
1	4.26	4.37	4.26	−2.51	0.00	0.99	0.98
2	6.18	6.42	6.36	−3.88	−2.91	0.99	0.97
3	22.52	22.05	22.52	2.09	0.00	0.94	0.94
4	28.50	30.07	30.01	−5.51	−5.30	0.47	0.47
5	32.49	38.18	33.42	−17.51	−2.86	0.47	0.51
6	43.91	46.08	44.95	−4.94	−2.37	0.56	0.55
7	55.01	57.15	51.82	−3.89	5.80	0.51	0.45
8	58.97	71.91	45.34	−21.94	23.11	0.46	0.42
9	67.90	83.34	64.78	−22.74	4.59	0.12	0.47
10	70.56	97.07	94.51	−37.57	−33.94	0.83	0.84