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 10

First six frequency parameters Ω of the functionally graded cylindrical 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	16.879	16.337	6.8893	6.8050	16.040	16.314	13.812	16.200	16.827
2	16.879	16.337	6.8893	6.8050	16.040	16.314	14.403	16.200	16.827
3	17.745	17.237	9.7991	9.7427	16.052	17.215	14.403	17.185	17.698
4	17.745	17.237	9.7991	9.7427	16.052	17.215	15.248	17.185	17.698
5	21.597	21.168	11.507	11.428	19.597	21.149	15.248	20.972	21.554
6	21.597	21.168	11.507	11.428	19.597	21.149	15.464	20.972	21.554
1	16.780	15.876	6.8620	6.5223	15.953	15.840	13.812	16.102	16.699
2	16.780	15.876	6.8620	6.5223	15.953	15.840	14.374	16.102	16.699
3	17.714	16.904	9.6811	9.5146	16.011	16.871	14.374	17.155	17.642
4	17.714	16.904	9.6811	9.5146	16.011	16.871	15.147	17.155	17.642
5	21.381	20.683	11.508	11.177	19.594	20.656	15.147	20.754	21.315
6	21.381	20.683	11.508	11.177	19.594	20.656	15.463	20.754	21.315