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 12

First six frequency parameters Ω of the functionally graded conical shells with different boundary conditions.

Mode number	Boundary condition
	CC	CS	CF	SF	CE^1	SE^3	E^1E^1	E^2E^2	E^3E^3
1	18.648	17.326	3.1641	3.0306	15.986	18.457	15.709	18.184	18.591
2	18.648	17.328	3.1641	3.0306	15.986	18.460	15.709	18.186	18.594
3	19.583	18.595	4.6352	4.4011	16.670	19.183	16.583	19.147	19.526
4	19.583	18.595	4.6352	4.4011	16.670	19.183	16.583	19.148	19.526
5	22.612	20.687	5.3016	5.2968	19.945	22.529	18.536	21.878	22.540
6	22.612	20.707	5.3016	5.2968	19.945	22.549	18.536	21.898	22.560
1	18.618	17.080	3.1594	2.9584	15.977	18.386	15.699	18.154	18.552
2	18.618	17.080	3.1594	2.9584	15.977	18.386	15.699	18.154	18.554
3	19.572	18.443	4.6350	4.2895	16.640	19.099	16.553	19.137	19.507
4	19.572	18.443	4.6350	4.2895	16.640	19.099	16.553	19.137	19.507
5	22.564	20.403	5.2888	5.2801	19.943	22.468	18.535	21.834	22.483
6	22.564	20.403	5.2888	5.2801	19.943	22.468	18.535	21.834	22.503