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

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

 

υ

1

2

3

4

Zhang et al.7

0.03285

0.04064

0.10997

0.21032

Present

0.0344

0.04077

0.11001

0.21038

Difference%

4.7

0.33

0.03

0.02

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