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Table 4 Comparison of the natural frequencies [Hz] from experimental modal analysis (EMA), finite element analysis (FEA) and analytical (AN) analysis for λ=1.0403 and R f =80 mm

From: Non-contact experimental methods to characterise the response of a hyper-elastic membrane

Mode

(m, n)

α nm

EMA

FEA

AN

Diff [%]

1

(0, 1)

2.405

80.87

78.28

78.28

3.20

2

(1, 1)

3.832

132.66

124.73

124.72

5.98

3

(2, 1)

5.136

180.33

167.15

167.16

7.31

4

(0, 2)

5.520

193.59

179.65

179.66

7.20

6

(0, 3)

8.654

316.39

281.54

281.67

11.01

  1. α nm is the nth root of the Bessel function, m refers to the number of nodal lines and n to the number of nodal circles