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Table 2 The first three mode resonance frequencies (Hz) for piezo-FG plate for various values of power index

From: Transient bending analysis of a functionally graded circular plate with integrated surface piezoelectric layers

Power index (g)

Mode number

Present (Hz)

(Ebrahimi and Rastgo2008)

Difference (%)

(Wang et al.2001)

0

1

69.37

69.52

0.22

69.33

2

418.99

417.86

0.27

418.03

3

1029.74

1039

−0.9

1,038.2

1

1

67.51

67.88

−0.55

-

2

408.38

406.83

0.38

-

3

1,003.65

1,001.51

0.21

-

3

1

66.49

67.07

−0.87

-

2

403.01

402.23

0.19

-

3

990.45

983.5

0.19

-

5

1

66.17

66.81

−0.97

-

2

401.33

400.71

0.15

-

3

986.33

982.2

0.42

-

7

1

66.02

66.72

−1.06

-

2

400.55

397.32

0.81

-

3

984.42

980.4

0.41

-

9

1

65.94

66.61

−1.02

-

2

400.12

396.81

0.83

-

3

983.36

979.02

0.44

-

10

1

65.91

66.59

−1.03

-

2

399.67

396.5

0.79

-

3

982.98

978.1

0.5

-