Transverse Vibration Analysis of Composite Plates with Multiple Distributed Composite Patches

Table 3

Nondimensional frequencies of the cross-ply laminate ([0/90]s) with CCCC boundary condition, E1/E2 = 10, a = 2b, and b = 10 h and for different patch sizes and numbers.

Modes		1st	2nd	3rd	4th	5th	6th	7th	8th	9th
Present	0 × 0	2.612	4.114	6.483	6.913	7.453	9.582	10.873	12.444	13.023
CASE I	0.1 × 0.1	2.597	4.114	6.481	6.882	7.458	9.580	10.871	12.392	13.032
	0.2 × 0.2	2.554	4.110	6.460	6.806	7.469	9.556	10.844	12.296	13.046
	0.3 × 0.3	2.495	4.096	6.384	6.727	7.475	9.486	10.754	12.274	13.024
CASE II	0.1 × 0.1	2.585	4.114	6.480	6.859	7.462	9.578	10.869	12.353	13.038
	0.2 × 0.2	2.512	4.107	6.443	6.732	7.480	9.537	10.823	12.189	13.063
	0.3 × 0.3	2.416	4.083	6.311	6.614	7.490	9.420	10.666	12.166	13.025
CASE III	0.1 × 0.1	2.566	4.113	6.478	6.821	7.467	9.576	10.867	12.287	13.048
	0.2 × 0.2	2.446	4.102	6.414	6.622	7.498	9.506	10.787	12.023	13.089
	0.3 × 0.3	2.297	4.061	6.188	6.463	7.515	9.320	10.520	12.019	13.026