Free In-Plane Vibrations of Orthotropic Rectangular Plates by Using an Accurate Solution

Table 2

Comparison of the in-plane frequency parameters Ω for E-SS1-E-SS1 orthotropic rectangular plates.

B.C	Method	Mode sequence
		1	2	3	4	5	6	7	8	9	10
C-SS1-SS1-SS1	FEMI	1.0025	1.2700	1.7631	2.0199	2.1365	2.2958	2.6993	3.0669	3.1315	3.1358
	FEMII	1.0005	1.2684	1.7611	2.0044	2.1230	2.2834	2.6888	3.0148	3.0872	3.1205
	Present	1.0000	1.2679	1.7605	2.0000	2.1192	2.2800	2.6860	3.0000	3.0735	3.1176
C-SS1-C-SS1	FEMI	1.0025	1.6926	2.0026	2.0199	2.5527	2.6157	2.8675	3.0669	3.2100	3.3917
	FEMII	1.0005	1.6908	1.9961	2.0044	2.5395	2.6063	2.8603	3.0148	3.1651	3.3489
	Present	1.0000	1.6904	1.9942	2.0000	2.5358	2.6037	2.8586	3.0000	3.1524	3.3368
SS1-SS1-SS1-SS1	FEMI	1.0025	1.0025	1.4558	2.0199	2.0199	2.2834	2.3060	2.4283	2.9243	3.0669
	FEMII	1.0005	1.0005	1.4541	2.0044	2.0044	2.2701	2.2963	2.4266	2.9109	3.0148
	Present	1.0000	1.0000	1.4537	2.0000	2.0000	2.2664	2.2937	2.4263	2.9074	3.0000
SS1-SS1-F-SS1	FEMI	0.5003	0.8460	1.4186	1.5081	1.7975	1.8223	2.2665	2.3757	2.5373	2.7962
	FEMII	0.5001	0.8437	1.4174	1.5018	1.7942	1.8056	2.2559	2.3689	2.5084	2.7421
	Present	0.5000	0.8430	1.4171	1.5000	1.7932	1.8007	2.2530	2.3670	2.5000	2.7262
F-SS1-F-SS1	FEMI	0.7076	1.0023	1.3578	1.7092	1.7687	1.8388	2.0184	2.1464	2.7000	2.7282
	FEMII	0.7049	1.0005	1.3571	1.6913	1.7661	1.8352	2.0042	2.1345	2.6713	2.6874
	Present	0.7041	1.0000	1.3569	1.6861	1.7653	1.8341	2.0000	2.1311	2.6546	2.6838
SS2-SS1-F-SS1	FEMI	1.0023	1.0675	1.4185	1.7851	1.8652	2.0184	2.3060	2.5866	2.8033	2.8419
	FEMII	1.0005	1.0660	1.4178	1.7822	1.8499	2.0042	2.2953	2.5776	2.7501	2.8364
	Present	1.0000	1.0655	1.4176	1.7815	1.8455	2.0000	2.2921	2.5752	2.7346	2.8353
C-SS1-F-SS1	FEMI	0.5003	1.1562	1.4604	1.5081	1.8848	2.1297	2.5373	2.6105	2.6670	2.8069
	FEMII	0.5001	1.1543	1.4596	1.5018	1.8694	2.1238	2.5084	2.5920	2.6586	2.7539
	Present	0.5000	1.1537	1.4594	1.5000	1.8649	2.1221	2.5000	2.5866	2.6564	2.7383
C-SS1-SS2-SS1	FEMI	0.5003	1.4304	1.5081	1.8182	2.3972	2.3975	2.5373	2.7886	2.8652	3.1606
	FEMII	0.5001	1.4295	1.5018	1.8140	2.3867	2.3928	2.5084	2.7650	2.8582	3.1455
	Present	0.5000	1.4293	1.5000	1.8128	2.3839	2.3913	2.5000	2.7582	2.8566	3.1414