Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study

Table 5

Behavior of NF (Hz) with n (m = 1, h = 0.1, N = 1, and R = 1).

FG and isotropic bilayer cylindrical shell
Type I					Type II
	C-F		SS-SS		C-F		SS-SS
N	L = 40	L = 60	L = 60	L = 80	L = 40	L = 60	L = 40	L = 60
1	29.1607	19.4438	1.48602	0.83728	29.3944	19.5996	3.36069	1.50074
2	65.8666	64.2879	63.0416	63.0214	65.8841	64.2876	63.0840	63.0246
3	178.846	178.450	178.186	178.163	178.808	178.410	178.209	178.144
4	341.894	341.681	341.568	341.542	341.816	341.603	341.561	341.490
5	552.552	552.388	552.316	552.290	552.427	552.264	552.266	552.192
Type III					Type IV
	C-F		SS-SS		C-F		SS-SS
N	L = 40	L = 60	L = 40	L = 60	L = 40	L = 60	L = 40	L = 60
1	29.8517	19.9045	3.41217	1.52373	30.0899	20.0633	3.44566	1.53869
2	67.5753	65.9602	64.7473	64.6848	67.5938	65.9607	64.7284	64.6683
3	183.501	183.095	182.892	182.823	183.465	183.056	182.850	182.783
4	350.787	350.567	350.524	350.450	350.712	350.492	350.448	350.375
5	566.916	566.746	566.748	566.671	566.796	566.627	566.628	566.552