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 11

First six frequency parameters Ω of the functionally graded conical 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	24.598	22.827	10.062	8.130	21.649	22.861	18.335	23.804	24.476
2	27.546	25.319	11.116	9.246	22.310	25.382	19.905	24.825	27.392
3	35.766	34.653	19.734	17.732	30.047	32.676	25.501	34.596	35.612
4	39.938	36.473	21.090	18.147	35.305	36.417	26.760	35.304	39.668
5	41.194	38.498	23.559	20.537	36.797	38.274	29.303	37.316	41.058
6	42.731	40.899	24.102	20.650	41.696	39.241	32.699	38.101	42.355
1	24.562	23.102	10.060	8.2037	21.610	22.706	18.325	23.773	24.442
2	27.506	25.226	11.104	9.3506	22.300	25.232	19.866	24.793	27.338
3	35.737	35.024	19.725	17.659	29.983	32.942	25.502	34.572	35.608
4	39.882	36.565	21.053	17.835	35.291	36.496	26.767	35.263	39.626
5	41.166	38.973	23.545	20.502	36.737	38.180	29.240	37.282	41.021
6	42.646	40.733	24.085	20.688	41.606	39.057	32.684	38.059	42.281