Table 1 Comparison of frequency parameter \({\rm{\Delta }}=\omega R\sqrt{(1-{{{\rm{{-}\kern-0.5em \lambda}}}}^{2})\rho /E}\) of \({{,} \kern -.3em \rm{s}}\)-\({{,} \kern -.3em \rm{s}}\) shell.

From: Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness

 

Ï…

1

2

3

4

Zhang et al.7

0.0161

0.03927

0.10981

0.21028

Present

0.0161

0.03927

0.10981

0.21028

Difference%

0.006

0.001

0.001

0.0000

  1. (m = 1, \({{\rm{{-}\kern-0.5em \lambda}}}\) = 0.3, L = 20, h = 0.05, R = 1).