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Table 4 Comparative study of the effect of plate resting on fluid to other medium

From: Application of Adomian decomposition method to free vibration analysis of thin isotropic rectangular plates submerged in fluid

Edge condition/ natural frequency

Simply supported (SS)

Simply Supported clamped (SC)

Simply supported free (SF)

 

Fluid with Winkler and Pasternak foundations

Submerged in fluid

Immersed in fluid

Fluid with Winkler and Pasternak foundations

Submerged in fluid

Immersed in fluid

Fluid with Winkler and Pasternak foundations

Submerged in fluid

Immersed in fluid

Ω1

21.7888

0.0000

18.0570

25.6351

0.0000

22.2613

17.4634

14.1776

8.5408

Ω2

53.0700

43.1951

48.6995

62.0728

53.5723

58.1018

53.8591

57.0730

26.5863

Ω3

103.0190

95.7538

98.3596

117.2008

110.6347

112.8977

100.4398

113.8003

61.3445