The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition

Table 9

First six frequency parameters Ω of the functionally graded cylindrical panels with different boundary conditions.

Mode number	Boundary condition
	CCCC	CSCS	CFCF	SFSF	CE^1CE^1	SE^3SE^3	E^1E^1E^1E^1	E^2E^2E^2E^2	E^3E^3E^3E^3
1	22.789	20.619	9.583	7.697	19.726	22.630	16.566	20.715	22.590
2	27.804	24.696	10.383	8.580	20.255	27.568	18.123	21.746	27.534
3	36.438	35.286	18.131	17.363	31.356	36.345	18.522	30.208	36.213
4	37.573	36.550	20.548	17.596	32.096	37.507	19.672	32.569	37.387
5	41.149	39.062	21.822	17.925	34.202	40.949	26.910	34.497	40.931
6	46.167	40.997	22.101	19.693	37.734	45.832	29.461	40.940	45.731
1	22.647	21.220	9.573	7.769	19.572	22.537	16.544	20.610	22.479
2	27.583	24.165	10.343	8.702	20.231	27.275	17.995	21.659	27.227
3	36.294	35.914	18.098	16.773	31.000	36.261	18.522	29.997	36.119
4	37.443	36.288	20.346	17.801	31.957	37.342	19.667	32.458	37.208
5	40.975	40.410	21.806	18.006	34.164	40.917	26.922	34.355	40.901
6	45.926	40.416	22.067	19.001	37.796	45.749	29.431	40.726	45.637