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Table 1 Illustrate the validation of the analytical solution

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)

  
 

Bhat [32]

Present FDM

Present ADM

Bhat [32]

Present FDM

Present ADM

Kumar [31]

Present FDM

Present ADM

Ω1

19.7392

19.8713

19.7434

23.6463

23.6358

23.3324

11.7195

11.7865

11.7445