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

Table 9

The first five frequencies (Hz) of an open orthotropic cylindrical shell with various boundary conditions and thickness-radius ratios ( m, , and ).

	Mode	Boundary conditions
		FFFF	FFFC	CFFFF	FSFS	FCFC	SFSF	SSSS	SCSC	CFCF	CSCS	CCCC
0.1	1	35.215	10.253	37.165	18.324	147.58	85.29	129.33	195.62	147.58	171.95	226.11
	2	56.896	21.815	48.745	26.589	175.14	97.12	145.97	211.93	154.63	187.20	242.94
	3	84.890	48.624	77.115	97.848	190.10	127.19	255.78	334.24	172.83	263.52	361.15
	4	158.64	57.907	120.79	113.01	192.42	199.13	263.52	335.67	229.70	280.45	390.23
	5	184.42	134.05	162.09	226.46	271.94	246.02	305.96	342.27	256.53	363.62	393.90
0.2	1	67.285	20.340	61.965	36.263	220.72	140.10	168.81	263.10	203.94	218.20	301.55
	2	110.39	42.002	63.152	51.258	225.46	144.40	249.83	316.59	207.32	263.52	341.24
	3	158.15	92.040	121.02	185.91	258.53	199.23	263.52	336.05	240.35	283.96	479.81
	4	291.25	95.573	136.39	211.39	289.06	246.06	336.05	447.69	256.62	441.20	520.17
	5	300.44	166.90	238.77	263.52	313.52	336.05	409.13	496.74	367.82	464.15	560.42
0.3	1	95.888	30.148	75.407	53.514	247.40	174.11	200.49	304.92	226.54	239.54	336.11
	2	158.44	60.042	80.904	73.128	252.58	177.14	263.49	336.56	226.89	263.49	408.35
	3	218.13	111.91	121.17	259.77	317.94	246.32	329.58	393.01	257.12	350.80	522.17
	4	363.69	127.66	186.67	263.51	328.50	257.08	336.56	503.91	283.28	472.80	582.29
	5	370.85	195.59	272.07	290.28	361.63	336.61	454.91	574.59	458.13	526.99	585.72
0.4	1	120.95	39.497	85.560	69.868	271.91	193.37	223.05	337.19	236.27	252.31	361.36
	2	200.43	75.511	94.412	91.766	272.53	200.57	263.51	337.40	237.49	263.51	444.93
	3	266.34	119.09	121.37	263.52	325.22	246.63	337.19	434.99	257.31	403.06	549.26
	4	382.10	154.90	228.50	303.73	367.10	299.86	389.76	536.97	316.14	490.52	593.38
	5	401.76	219.65	291.93	319.87	401.08	337.21	478.66	587.54	473.94	527.03	621.28
0.5	1	142.63	48.286	93.255	85.223	283.46	205.98	239.52	337.66	241.56	261.77	381.15
	2	236.61	88.344	103.65	107.20	293.00	215.57	263.52	362.31	243.65	263.52	463.94
	3	305.21	123.62	121.56	263.52	336.61	247.00	337.66	456.71	257.41	445.36	569.04
	4	382.43	175.22	263.55	309.75	387.11	333.01	436.31	559.41	343.77	502.53	600.92
	5	425.37	236.77	305.95	368.50	420.72	337.67	493.40	595.89	483.80	527.04	640.08