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Table 1 Comparison of frequency parameters for the cylindrical shell without pressure with SS-SS boundary condition (m = 1, L/R = 20, h/R = 0.02, μ = 0.3)

From: Natural Characteristic of Thin-Wall Pipe under Uniformly Distributed Pressure

n

Eq. (24)

Ref. [9]/[10]

Error [9]/[10] (%)

1

0.016101

0.016101/0.016102

0.00/0.01

2

0.009377

0.009382/0.009387

0.05/0.00

3

0.022103

0.022105/0.022108

0.01/0.02

4

0.042094

0.042095/0.042096

0.00/0.00

5

0.068007

0.068008/0.068008

0.00/0.00

6

0.099729

0.099730/0.099730

0.00/0.00

7

0.137238

0.137239/0.137239

0.00/0.00

8

0.180527

0.180527/0.180527

0.00/0.00

9

0.229593

0.229594/0.229594

0.00/0.00

10

0.284435

0.284435/0.284435

0.00/0.00