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

Table 17

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

	Mode	Boundary conditions
		FFFF	FFFC	CFFFF	FSFS	FCFC	SFSF	SSSS	SCSC	CFCF	CSCS	CCCC
	1	84.679	18.926	510.60	98.028	89.074	212.64	317.72	325.28	969.68	974.67	1027.7
	2	146.31	25.038	521.72	152.51	154.01	291.59	490.39	502.82	1016.3	1026.4	1168.0
	3	195.29	57.031	538.96	248.49	219.71	486.17	697.62	707.91	1147.7	1162.2	1326.9
	4	222.27	72.206	597.15	319.22	255.89	696.35	887.99	892.37	1271.8	1312.8	1363.8
	5	327.75	154.47	654.93	368.73	323.39	838.08	912.15	920.46	1303.4	1360.3	1382.2
	1	57.626	14.203	228.35	71.121	102.60	117.91	214.91	228.01	456.22	460.47	533.24
	2	99.202	22.128	243.09	154.35	110.66	209.78	368.11	376.89	523.97	531.36	700.27
	3	148.74	45.715	258.66	179.30	205.12	309.18	404.08	422.12	685.82	693.36	872.42
	4	178.28	68.778	316.42	253.59	220.52	317.77	442.10	454.90	830.34	859.53	884.69
	5	256.56	126.55	349.70	307.45	263.17	380.38	460.47	502.97	846.00	882.39	923.62
	1	59.987	15.391	120.01	76.167	111.87	98.56	197.31	203.81	263.67	267.89	362.54
	2	76.001	22.205	123.49	145.39	125.12	135.77	266.90	310.24	353.31	359.87	530.43
	3	148.26	45.380	169.24	188.24	192.03	147.10	267.89	311.52	491.00	529.88	555.30
	4	152.12	68.610	187.82	224.49	224.19	208.90	302.45	349.51	495.19	535.24	572.28
	5	264.29	120.70	261.95	301.40	255.38	280.38	374.50	413.92	535.13	577.62	638.34
	1	71.868	23.031	57.238	119.02	145.90	69.88	155.36	228.09	151.76	155.36	288.40
	2	86.954	27.416	61.552	154.63	155.22	87.58	206.18	256.60	278.43	284.63	361.56
	3	152.04	60.878	92.824	211.79	220.50	118.40	214.97	283.89	309.74	357.24	422.31
	4	209.65	78.043	122.02	282.40	243.01	204.83	293.09	376.96	309.83	408.30	493.91
	5	279.78	136.49	176.11	301.79	261.11	210.19	361.44	378.75	377.56	460.47	515.13