Three-Dimensional Vibration Analysis of Isotropic and Orthotropic Open Shells and Plates with Arbitrary Boundary Conditions

Table 3

The first five frequency parameters of an orthotropic plate with various boundary conditions and thickness-length ratios ().

	Mode	Boundary conditions
		FFFF	FFFC	CFFFF	FSFS	FCFC	SFSF	SSSS	SCSC	CFCF	CSCS	CCCC
0.1	1	1.2016	0.1913	3.1286	0.5325	1.2110	8.0884	8.2286	8.3199	12.661	12.713	12.767
	2	1.6450	0.9024	3.2604	1.7197	2.1741	8.1983	8.3304	8.3304	12.696	12.988	13.243
	3	3.2673	1.1872	3.8097	2.1094	3.2796	8.3304	8.8058	9.1970	12.868	13.805	14.451
	4	3.5278	1.6663	5.2189	3.7856	4.6138	8.6275	10.182	11.061	13.400	15.512	16.647
	5	5.8822	2.8738	7.7408	4.1791	6.3016	9.6412	12.616	13.998	14.637	16.661	19.938
0.2	1	1.1742	0.1900	2.5758	0.5272	1.1626	4.1652	4.1652	4.1652	7.4161	7.4588	7.5325
	2	1.5490	0.8298	2.6625	1.5882	1.9269	5.9691	6.0783	6.1728	7.4365	7.7739	8.0882
	3	3.0822	0.9344	3.1059	2.0326	3.0201	6.0448	6.5922	6.9602	7.5916	8.3304	9.3822
	4	3.2398	1.1482	4.0386	2.0895	3.2493	6.3768	7.8472	8.3304	8.1909	8.7352	10.210
	5	3.9204	2.6058	4.3684	3.4893	4.1349	7.2497	8.3304	8.5464	8.2659	10.196	11.435
0.3	1	1.1337	0.1884	2.0798	0.5189	1.0997	2.7768	2.7768	2.7768	5.1645	5.2093	5.2982
	2	1.4422	0.3706	2.1375	1.3930	1.7267	4.5255	4.6197	4.7182	5.1800	5.5536	5.8807
	3	2.6132	0.7345	2.5347	1.4672	2.1676	4.5817	5.1096	5.4364	5.3430	5.5688	6.8086
	4	2.8421	1.0972	2.6924	1.9250	2.7193	4.8655	5.5536	5.5536	5.5107	6.5703	7.0848
	5	2.9387	1.9690	3.7018	3.1616	3.6066	5.4050	5.5536	6.7789	5.9915	6.7960	8.7975