Dynamical Analysis of Long Fiber-Reinforced Laminated Plates with Elastically Restrained Edges

Table 3

Convergence study of frequencies 𝜔^∗_𝑖=𝜔_𝑖𝑎²𝜌/(𝐸₂ℎ²) for a two-layered [0°/45°] square plate. 𝐸₁/𝐸₂=25,  𝐺₁₂=𝐺₁₃=0.5𝐸₂,  𝐺₂₃=0.2𝐸₂,  𝜈₁₂=0.25.

𝑎/ℎ	𝑀, 𝑁	Mode sequence number
	( 𝑀=𝑁)	1	2	3	4	5	6
10	4	15.487	23.582	30.182	35.243	42.217	49.098
	5	15.480	23.401	30.005	33.514	38.099	44.303
	6	15.478	23.359	29.960	33.217	37.825	43.331
	7	15.478	23.356	29.957	33.112	37.691	42.997
	8	15.478	23.356	29.956	33.104	37.679	42.901
	9	15.478	23.356	29.956	33.103	37.676	42.889
	10	15.478	23.356	29.956	33.103	37.675	42.887
	Shi et al. [5]	15.504	23.399	29.991	33.170	37.740	42.973
20	4	19.248	30.947	42.338	50.788	71.618	81.985
	5	19.227	30.415	41.788	46.288	54.225	64.750
	6	19.221	30.279	41.586	45.434	53.531	62.080
	7	19.219	30.271	41.572	45.047	53.090	61.032
	8	19.219	30.268	41.569	45.016	53.047	60.655
	9	19.218	30.267	41.569	45.008	53.032	60.600
	10	19.218	30.267	41.568	45.007	53.030	60.587
	Shi et al. [5]	19.350	30.490	41.769	45.400	53.385	61.035
100	4	21.348	36.366	52.130	65.773	298.228	304.052
	5	21.314	35.002	50.893	56.783	68.251	86.403
	6	21.291	34.676	50.155	54.927	66.919	79.733
	7	21.289	34.660	50.124	53.854	65.602	76.972
	8	21.288	34.655	50.107	53.792	65.504	75.800
	9	21.288	34.654	50.106	53.757	65.449	75.631
	10	21.288	34.654	50.106	53.754	65.444	75.553
	Shi et al. [5]	21.802	35.692	51.304	55.298	67.257	77.843