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

Table 2

Frequency parameters of completely free shallow shells having square and rectangular planform (, , and ).

	Mode
		Current	[15]	FEM	Current	[15]	FEM
1	SS-1	19.691	19.757	19.733	22.721	22.794	22.709
	SS-2	42.235	42.353	42.127	98.601	99.041	98.593
	SA-1	35.764	35.880	35.790	58.439	58.574	58.450
	SA-2	73.624	73.890	73.544	160.51	172.23	160.53
	AS-1	35.764	35.880	35.790	62.120	62.345	62.126
	AS-2	73.624	73.890	73.544	110.65	110.83	110.58
	AA-1	13.480	13.524	13.491	26.521	26.577	26.531
	AA-2	69.342	69.598	69.480	101.68	102.00	101.69
0	SS-1	21.831	21.904	21.810	21.559	21.631	21.538
	SS-2	38.495	38.473	38.510	100.28	100.55	100.28
	SA-1	34.771	34.852	34.737	58.310	58.425	58.252
	SA-2	75.278	75.298	75.281	159.78	171.56	159.74
	AS-1	37.625	37.643	37.623	59.613	59.845	59.585
	AS-2	60.914	61.154	60.886	109.53	109.60	109.53
	AA-1	13.461	13.483	13.467	26.517	26.562	26.520
	AA-2	70.765	70.952	70.740	101.24	101.53	101.20
−1	SS-1	24.659	24.741		25.216	25.294
	SS-2	52.538	52.574		102.11	102.19
	SA-1	36.842	36.957		58.407	58.543
	SA-2	76.865	77.063		160.72	172.64
	AS-1	36.842	36.957		66.341	66.576
	AS-2	76.865	77.063		108.95	109.07
	AA-1	13.418	13.425		26.508	26.564
	AA-2	77.349	77.647		101.69	102.00