Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite Patches

Table 4

Nondimensional frequencies of the cross-ply laminate ([0/90]s) with SSSS boundary condition, E1/E2 = 10, and a = b = 10 h and for different patch sizes and numbers.

Modes		1st	2nd	3rd	4th	5th	6th	7th	8th	9th
Present	0 × 0	2.519	4.986	8.515	9.783	10.077	13.783	16.700	18.704	19.911
Ref. [32]	0 × 0	2.519	4.986	8.515	9.783	10.077	13.783	/	18.704	19.911
CASE I	0.1 × 0.1	2.500	4.985	8.513	9.714	10.088	13.780	16.685	18.568	19.906
	0.2 × 0.2	2.448	4.968	8.485	9.578	10.112	13.745	16.511	18.305	19.857
	0.3 × 0.3	2.379	4.908	8.383	9.507	10.107	13.671	16.115	18.193	19.771
CASE II	0.1 × 0.1	2.486	4.984	8.511	9.663	10.096	13.777	16.674	18.466	19.903
	0.2 × 0.2	2.399	4.955	8.462	9.440	10.136	13.716	16.366	18.041	19.820
	0.3 × 0.3	2.287	4.851	8.285	9.344	10.129	13.592	15.704	17.912	19.699
CASE III	0.1 × 0.1	2.463	4.982	8.509	9.581	10.109	13.773	16.654	18.297	19.897
	0.2 × 0.2	2.322	4.932	8.424	9.240	10.175	13.670	16.124	17.668	19.764
	0.3 × 0.3	2.155	4.760	8.127	9.131	10.163	13.473	15.089	17.573	19.615