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

Table 4

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

B.C	Method	Mode sequence
		1	2	3	4	5	6	7	8	9	10
SS1-SS1-SS1-C	FEMI	1.0025	1.1641	1.9226	2.0199	2.0969	2.3851	2.6221	2.8360	3.0669	3.1163
	FEMII	1.0005	1.1624	1.9187	2.0044	2.0821	2.3802	2.6089	2.8234	3.0148	3.0653
	Present	1.0000	1.1619	1.9177	2.0000	2.0779	2.3789	2.6052	2.8199	3.0000	3.0507
SS1-SS2-SS1-C	FEMI	0.5003	1.5081	1.5256	2.0834	2.3105	2.3576	2.5373	2.8240	2.9941	3.2595
	FEMII	0.5001	1.5018	1.5235	2.0818	2.2970	2.3511	2.5084	2.8100	2.9791	3.2112
	Present	0.5000	1.5000	1.5228	2.0815	2.2931	2.3493	2.5000	2.8060	2.9750	3.1974
SS1-C-SS1-C	FEMI	1.0025	1.6212	2.0199	2.1256	2.3417	2.8009	2.8713	3.0669	3.0676	3.2739
	FEMII	1.0005	1.6182	2.0044	2.1229	2.3277	2.7887	2.8564	3.0148	3.0504	3.2254
	Present	1.0000	1.6173	2.0000	2.1222	2.3237	2.7853	2.8522	3.0000	3.0457	3.2116
SS1-SS1-SS1-F	FEMI	0.5003	0.8989	1.4348	1.5081	1.8753	2.0745	2.2000	2.3506	2.5373	2.8321
	FEMII	0.5001	0.8965	1.4329	1.5018	1.8572	2.0725	2.1858	2.3436	2.5084	2.8074
	Present	0.5000	0.8957	1.4324	1.5000	1.8517	2.0720	2.1818	2.3417	2.5000	2.7894
SS1-C-SS1-F	FEMI	0.5003	1.0331	1.5081	1.8801	1.8982	2.2786	2.4362	2.5373	2.5754	2.8706
	FEMII	0.5001	1.0308	1.5018	1.8775	1.8801	2.2742	2.4297	2.5084	2.5616	2.8113
	Present	0.5000	1.0301	1.5000	1.8746	1.8768	2.2731	2.4279	2.5000	2.5577	2.7933
SS1-SS2-SS1-F	FEMI	1.0023	1.0089	1.8508	1.8951	2.0184	2.0199	2.3915	2.5217	2.8261	2.8702
	FEMII	1.0005	1.0068	1.8478	1.8771	2.0042	2.0185	2.3870	2.5088	2.8108	2.8130
	Present	1.0000	1.0061	1.8469	1.8716	2.0000	2.0182	2.3858	2.5052	2.7928	2.8094
SS1-F-SS1-F	FEMI	0.8097	1.0023	1.3993	1.8163	2.0159	2.0184	2.0341	2.1178	2.8084	2.8329
	FEMII	0.8068	1.0005	1.3971	1.7972	2.0042	2.0148	2.0173	2.1141	2.7726	2.7977
	Present	0.8059	1.0000	1.3965	1.7914	2.0000	2.0122	2.0146	2.1131	2.7544	2.7948
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