Table 6 Variation of NFs (Hz) for various power exponent law υ against n for shell type-I ((m = 1, L/R = 50, h/R = 0.001).

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

n

υ = 1

υ = 2

υ = 3

υ = 5

υ = 10

υ = 15

υ = 20

1

1.6067

1.6024

1.6005

1.5988

1.5973

1.5968

1.5965

2

0.8251

0.8229

0.8220

0.8212

0.8205

0.8202

0.8201

3

1.8493

1.8446

1.8426

1.8408

1.8393

1.8388

1.8385

4

3.5182

3.5091

3.5053

3.5019

3.4991

3.4981

3.4976

5

5.6857

5.6711

5.6650

5.6594

5.6549

5.6533

5.6524