Free Vibration Analysis of the Unified Functionally Graded Shallow Shell with General Boundary Conditions

Table 11

Frequency parameters for Al/Al₂O₃ hyperbolic paraboloidal shell with different BC and varying geometric parameters (, ()).

		Mode number	BC
			SCSC	SE^2SE^2	CE^3CE^3	E^1E^1E^1E^1	E^2 E^2E^2E^2	E^3 E^3E^3E^3	E^2E^3E^2E^3
1	0.1	1	7.169	0.964	6.901	7.231	1.331	1.096	1.289
		2	11.951	5.898	8.566	14.497	1.339	1.096	1.314
		3	13.929	11.471	12.740	14.603	1.897	1.101	1.892
	0.05	1	9.850	2.359	10.023	7.846	3.284	2.994	3.266
		2	14.100	6.290	12.273	16.727	3.296	3.096	3.274
		3	16.185	12.807	16.240	16.805	4.689	3.096	4.688
	0.01	1	30.627	8.835	31.145	11.946	11.195	11.109	11.165
		2	32.776	21.977	31.649	25.687	25.177	23.159	23.378
		3	32.924	24.532	34.702	30.369	25.363	23.169	24.899
2	0.1	1	26.447	3.857	16.542	22.198	4.566	3.730	4.257
		2	28.675	18.452	18.734	25.895	4.643	3.783	4.580
		3	35.870	19.907	20.530	32.713	6.258	3.787	6.177
	0.05	1	39.399	9.437	23.876	27.912	11.389	10.052	11.031
		2	40.132	23.845	28.840	28.854	11.440	10.494	11.411
		3	44.907	25.160	34.898	41.508	15.517	10.653	12.468
	0.01	1	117.50	35.342	61.962	42.255	39.025	38.643	38.729
		2	122.52	59.276	74.310	79.353	61.277	56.844	58.321
		3	130.65	65.141	91.389	92.038	70.915	66.853	67.384