Crack Detection in Plate-Like Structures Using Modal Strain Energy Method considering Various Boundary Conditions

Table 2

Convergence of natural frequencies (%) compared to ones for mesh size of 48 × 48.

Mode	Mesh size
	2 × 2	4 × 4	8 × 8	12 × 12	24 × 24
Case 1: free conditions
1	6.4	3.1	1.0	0.4	0.1
2	18.0	6.5	1.7	0.8	0.2
3	10.2	11.6	2.8	1.2	0.3
4	8.0	3.0	1.8	0.9	0.2
Case 2: hinged conditions
1	0.4	2.8	1.0	0.6	0.1
2	3280.5	30.0	6.3	2.6	0.5
3	3252.2	34.3	7.2	3.0	0.6
4	2817.5	113.0	16.9	6.7	1.3
Case 3: fixed conditions
1	1732.0	19.5	4.1	1.7	0.3
2	2166.9	79.5	11.5	4.6	0.9
3	44716.9	77.8	11.8	4.7	0.9
4	—	904.5	27.4	10.2	1.9