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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 frequencySimply supported (SS)Simply Supported clamped (SC)Simply supported free (SF)
 Fluid with Winkler and Pasternak foundationsSubmerged in fluidImmersed in fluidFluid with Winkler and Pasternak foundationsSubmerged in fluidImmersed in fluidFluid with Winkler and Pasternak foundationsSubmerged in fluidImmersed in fluid
Ω121.78880.000018.057025.63510.000022.261317.463414.17768.5408
Ω253.070043.195148.699562.072853.572358.101853.859157.073026.5863
Ω3103.019095.753898.3596117.2008110.6347112.8977100.4398113.800361.3445