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

Table 16

The first five frequencies (Hz) of an open orthotropic spherical shell with various boundary conditions and included angles (, ,  m, and ).

	Mode	Boundary conditions
		FFFF	FFFC	CFFFF	FSFS	FCFC	SFSF	SSSS	SCSC	CFCF	CSCS	CCCC
	1	443.51	130.71	222.38	293.54	536.71	66.396	629.50	728.26	611.21	629.50	1186.0
	2	611.86	232.99	246.28	444.69	675.25	464.99	668.60	805.69	1020.2	1079.1	1235.9
	3	882.78	286.55	279.19	617.48	714.50	507.72	731.49	1177.8	1036.7	1232.8	1367.2
	4	902.67	477.56	637.73	702.69	937.59	689.20	1160.7	1259.3	1155.6	1294.8	1519.4
	5	936.58	590.89	739.43	900.69	1079.2	738.47	1182.4	1362.2	1167.9	1302.6	1647.8
	1	189.08	37.048	239.97	63.267	232.07	84.838	368.41	377.11	621.23	629.50	803.86
	2	234.56	70.009	243.00	109.72	319.08	366.89	572.28	598.55	780.31	796.75	1106.6
	3	362.22	140.87	263.46	293.61	367.59	492.89	629.50	706.99	1028.0	1079.1	1176.8
	4	447.89	155.81	309.02	338.61	367.94	502.40	668.64	735.01	1056.8	1128.4	1199.3
	5	512.70	280.64	493.30	444.73	495.53	606.52	731.50	831.07	1120.0	1225.0	1254.0
	1	85.708	17.984	240.41	15.545	135.78	93.192	257.64	262.86	624.62	629.50	711.91
	2	146.72	30.483	244.79	26.247	179.62	252.51	483.28	487.43	700.48	709.75	908.76
	3	216.38	66.516	257.67	128.73	229.69	476.19	560.16	569.44	887.13	899.62	1096.3
	4	222.58	88.782	264.21	214.11	284.71	496.05	595.97	616.53	1035.1	1079.1	1134.9
	5	361.62	173.33	325.13	272.42	288.33	507.53	629.50	697.78	1062.2	1129.6	1159.4
	1	47.187	11.234	241.04	63.466	84.092	97.431	205.91	209.10	626.26	629.50	676.95
	2	94.608	16.780	244.82	109.78	97.592	198.64	368.42	372.44	669.88	676.00	800.45
	3	129.46	35.164	254.48	166.60	176.89	367.72	540.50	543.66	789.91	796.76	961.81
	4	157.36	55.245	254.74	250.56	185.67	495.01	557.49	561.94	941.27	952.43	1092.2
	5	237.51	106.95	277.95	270.09	254.20	499.55	572.32	582.43	1040.1	1079.2	1132.3
	1	29.373	8.1735	242.94	6.1341	54.327	99.901	177.12	179.16	627.17	629.50	660.21
	2	60.370	11.013	243.11	8.7143	56.663	169.06	301.12	304.42	655.30	659.69	743.83
	3	82.483	21.409	250.47	32.422	122.29	299.61	437.16	440.06	737.18	741.85	861.91
	4	119.80	35.084	252.42	55.852	125.78	436.10	556.76	559.23	851.69	857.42	991.96
	5	157.24	64.758	265.43	101.21	206.84	498.30	563.86	569.32	972.10	982.99	1089.9