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

Table 3

Comparison of the in-plane frequency parameters Ω for E-SS2-E-SS2 orthotropic rectangular plates.

B.C	Method	Mode sequence
		1	2	3	4	5	6	7	8	9	10
C-SS2-SS1-SS2	FEMI	1.0001	1.2699	1.7631	2.1352	2.2957	2.6989	3.0035	3.1312	3.1313	3.1598
	FEMII	1.0000	1.2684	1.7611	2.1228	2.2834	2.6887	3.0005	3.0868	3.1204	3.1286
	Present	1.0000	1.2679	1.7605	2.1192	2.2800	2.6859	3.0000	3.0735	3.1176	3.1190
C-SS2-C-SS2	FEMI	1.6926	2.0011	2.0025	2.5518	2.6157	2.8675	3.2100	3.3879	3.5414	3.6694
	FEMII	1.6908	1.9961	2.0002	2.5394	2.6063	2.8603	3.1651	3.3485	3.5254	3.6351
	Present	1.6904	1.9942	1.9999	2.5358	2.6037	2.8585	3.1524	3.3368	3.5209	3.6256
SS1-SS2-SS1-SS2	FEMI	1.0023	1.4558	2.0011	2.0184	2.2834	2.3052	2.4283	2.9241	3.0618	3.2465
	FEMII	1.0005	1.4541	2.0002	2.0042	2.2701	2.2963	2.4266	2.9109	3.0142	3.1983
	Present	1.0000	1.4537	2.0000	2.0000	2.2664	2.2937	2.4263	2.9073	3.0000	3.1847
SS1-SS2-F-SS2	FEMI	0.8458	1.4186	1.7974	1.8208	2.0011	2.2656	2.3757	2.7912	2.8190	2.8453
	FEMII	0.8436	1.4174	1.7942	1.8055	2.0002	2.2558	2.3689	2.7416	2.7961	2.8366
	Present	0.8430	1.4171	1.7932	1.8008	2.0000	2.2530	2.3670	2.7262	2.7895	2.8344
F-SS2-F-SS2	FEMI	0.7073	1.3578	1.7076	1.7687	1.8388	2.0011	2.1453	2.7000	2.7230	2.8419
	FEMII	0.7049	1.3571	1.6911	1.7660	1.8351	2.0002	2.1344	2.6707	2.6874	2.8364
	Present	0.7041	1.3569	1.6861	1.7653	1.8341	2.0000	2.1311	2.6546	2.6838	2.8342
SS2-SS2-F-SS2	FEMI	1.0001	1.0674	1.4185	1.7850	1.8638	2.3060	2.5861	2.7984	2.8419	3.0035
	FEMII	1.0000	1.0659	1.4178	1.7822	1.8498	2.2953	2.5776	2.7496	2.8364	3.0005
	Present	1.0000	1.0655	1.4176	1.7815	1.8455	2.2921	2.5752	2.7346	2.8353	3.0000
C-SS2-F-SS2	FEMI	1.0001	1.1561	1.4604	1.8834	2.1297	2.6104	2.6666	2.8021	3.0035	3.1088
	FEMII	1.0000	1.1543	1.4596	1.8692	2.1238	2.5920	2.6585	2.7533	3.0005	3.0970
	Present	1.0000	1.1537	1.4594	1.8649	2.1221	2.5866	2.6564	2.7383	3.0000	3.0940
C-SS2-SS2-SS2	FEMI	1.4304	1.8181	2.0011	2.3964	2.3975	2.7886	2.8651	3.1603	3.3149	3.5476
	FEMII	1.4295	1.8140	2.0002	2.3866	2.3928	2.7650	2.8582	3.1455	3.2773	3.5300
	Present	1.4293	1.8128	1.9999	2.3839	2.3913	2.7582	2.8566	3.1414	3.2664	3.5251