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

Table 5

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

B.C	Method	Mode sequence
		1	2	3	4	5	6	7	8	9	10
SS2-SS1-SS2-C	Du et al.	0.7071	1.1619	1.9178	2.0779	2.1215	2.3790	—	—	—	—
	Liu et al.	0.7071	1.1619	1.9177	2.0779	2.1213	2.3789	2.6052	2.8200	3.0508	3.2789
	Present	0.7071	1.1619	1.9177	2.0779	2.1213	2.3789	2.6052	2.8199	3.0507	3.2789
SS2-SS2-SS2-C	Du et al.	1.4142	1.5229	2.0814	2.2933	2.3496	2.8066	—	—	—	—
	Liu et al.	1.4142	1.5228	2.0815	2.2932	2.3493	2.8060	2.8284	2.9750	3.1975	3.3472
	Present	1.4142	1.5228	2.0814	2.2931	2.3493	2.8060	2.8284	2.9750	3.1975	3.3472
SS2-C-SS2-C	Du et al.	1.4142	1.6174	2.1222	2.3239	2.7857	2.8294	—	—	—	—
	Liu et al.	1.4142	1.6173	2.1222	2.3238	2.7853	2.8284	2.8522	3.0457	3.2116	3.6866
	Present	1.4142	1.6173	2.1221	2.3237	2.7852	2.8284	2.8522	3.0456	3.2116	3.6865
SS2-SS1-SS2-F	Du et al.	0.8957	1.4142	1.4324	1.8511	2.0719	2.1817	—	—	—	—
	Liu et al.	0.8957	1.4142	1.4324	1.8517	2.0720	2.1818	2.3417	2.7893	2.8158	2.8284
	Present	0.8957	1.4142	1.4324	1.8517	2.0720	2.1818	2.3417	2.7894	2.8157	2.8284
SS2-C-SS2-F	Du et al.	0.7071	1.0300	1.8740	1.8768	2.1215	2.2732	—	—	—	—
	Liu et al.	0.7071	1.0301	1.8746	1.8768	2.1213	2.2731	2.4279	2.5577	2.7932	3.2339
	Present	0.7071	1.0301	1.8746	1.8768	2.1213	2.2731	2.4279	2.5577	2.7933	3.2338
SS2-SS2-SS2-F	Liu et al.	0.7071	1.0061	1.8469	1.8716	2.0182	2.1213	2.3858	2.5053	2.7927	2.8094
	Present	0.7071	1.0061	1.8469	1.8716	2.0182	2.1213	2.3858	2.5052	2.7928	2.8094
SS2-F-SS2-F	Liu et al.	0.8059	1.3965	1.4142	1.7914	2.0122	2.0146	2.1131	2.7543	2.7948	2.8253
	Present	0.8059	1.3965	1.4142	1.7914	2.0122	2.0145	2.1131	2.7544	2.7948	2.8252
SS2-SS2-SS2-SS2	Liu et al.	1.4142	1.4537	2.0000	2.2665	2.2937	2.4263	2.8284	2.9074	3.1847	3.2155
	Present	1.4142	1.4537	1.9999	2.2664	2.2937	2.4262	2.8284	2.9073	3.1847	3.2155
	Liu et al.	1.1785	1.3338	1.9994	2.0000	2.1889	2.3031	2.3570	2.6677	2.7491	3.0554
	Present	1.1785	1.3338	1.9994	1.9999	2.1889	2.3030	2.3570	2.6676	2.7491	3.0554

Note that b/a = 1.2.