Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite Patches

Table 5

Nondimensional frequencies of the cross-ply laminate ([0/90]s) with SSSS boundary condition, E1/E2 = 20, 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	2.638	4.917	9.355	9.637	10.554	13.826	16.524	19.668	20.752
Ref. [32]	0 × 0	2.638	4.917	9.354	9.637	10.554	13.826	/	/	20.752
CASE I	0.1 × 0.1	2.618	4.916	9.352	9.569	10.560	13.823	16.509	19.681	20.598
	0.2 × 0.2	2.564	4.899	9.321	9.436	10.573	13.788	16.338	19.681	20.286
	0.3 × 0.3	2.491	4.841	9.209	9.367	10.553	13.715	15.953	19.533	20.164
CASE II	0.1 × 0.1	2.604	4.915	9.351	9.519	10.565	13.820	16.498	19.691	20.476
	0.2 × 0.2	2.512	4.886	9.296	9.303	10.587	13.760	16.197	19.690	19.957
	0.3 × 0.3	2.395	4.785	9.101	9.209	10.553	13.639	15.557	19.433	19.828
CASE III	0.1 × 0.1	2.579	4.913	9.348	9.440	10.573	13.816	16.479	19.707	20.264
	0.2 × 0.2	2.432	4.864	9.110	9.254	10.609	13.714	15.963	19.481	19.704
	0.3 × 0.3	2.257	4.695	8.925	9.005	10.553	13.526	14.967	19.267	19.416