Curvature Effects on the Vibration Characteristics of Doubly Curved Shallow Shells with General Elastic Edge Restraints

Table 4

Frequency parameters for different boundary condition singly curved shallow shells with thickness ratio ().

BC			Mode number
			1	2	3	4	5	6
S-F-S-F	0.5	0.1	22.199	24.194	36.289	55.883	79.506	83.045
			(22.194^a)	(24.178)	(36.262)	(55.824)	(79.487)	(83.002)
		0.2	26.397	27.512	39.769	56.755	82.575	84.809
			(26.375^a)	(27.487)	(39.788)	(56.783)	(82.540)	(84.756)
	1.0	0.1	15.704	17.062	37.872	43.834	48.108	72.459
			(15.693^a)	(17.042)	(37.853)	(43.811)	(48.065)	(72.396)
		0.2	19.498	24.284	42.410	51.796	53.554	75.946
			(19.460^a)	(24.234)	(42.446)	(51.713)	(53.469)	(76.087)
			[19.446^b]	[24.240]	[42.378]	[51.695]	[53.464]	[75.851]
C-F-C-F	0.5	0.1	45.776	47.172	55.584	71.384	97.130	123.52
			(45.782^a)	(47.176)	(55.602)	(71.414)	(97.187)	(123.53)
		0.2	48.365	48.688	57.865	72.110	97.314	125.52
			(48.373^a)	(48.697)	(57.905)	(72.210)	(97.514)	(125.53)
	1.0	0.1	25.463	26.982	44.584	64.445	68.153	79.963
			(25.463^a)	(26.982)	(44.608)	(64.437)	(68.152)	(80.016)
		0.2	28.587	31.671	48.595	70.853	71.644	80.405
			(28.589^a)	(31.667)	(48.653)	(70.850)	(71.626)	(80.608)
			[28.576^b]	[31.673]	[48.580]	[70.813]	[71.617]	[80.372]
S-S-S-S	0.5	0.1	29.363	41.242	64.852	85.445	99.035	99.911
			(29.351^a)	(41.161)	(64.753)	(85.406)	(98.912)	(99.747)
		0.2	40.018	45.813	66.603	89.807	99.491	102.93
			(40.053^a)	(45.810)	(66.625)	(89.789)	(99.568)	(102.83)
	1.0	0.1	36.804	51.608	58.413	82.449	99.526	103.72
			(36.841^a)	(51.576)	(58.383)	(82.302)	(99.527)	(103.66)
		0.2	57.644	63.712	79.167	91.551	102.61	117.24
			(57.708^a)	(63.834)	(79.217)	(91.542)	(102.84)	(117.23)
			[57.581^b]	[63.799]	[79.184]	[91.414]	[102.53]	[117.19]
C-S-C-S	0.5	0.1	50.190	59.063	78.651	109.62	128.06	139.39
			(50.200^a)	(59.082)	(78.688)	(109.69)	(128.07)	(139.41)
		0.2	57.074	62.404	80.129	110.05	131.02	141.58
			(57.107^a)	(62.467)	(80.267)	(110.31)	(131.04)	(141.64)
	1.0	0.1	42.398	56.809	76.001	97.409	102.95	132.92
			(42.445^a)	(56.845)	(76.022)	(97.448)	(103.03)	(132.94)
		0.2	62.563	67.119	92.949	105.38	105.88	143.75
			(62.678^a)	(67.233)	(93.012)	(105.52)	(106.18)	(143.80)
			[62.559^b]	[67.201]	[92.982]	[105.40]	[105.87]	[143.76]

Results from [17].
^bResults are obtained from FEM models.