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

Journal of the Egyptian Mathematical Society

Table 2 Two-parameter foundation effect on first two natural frequencies of vibrating rectangular plate

Edge condition	Natural frequency	k_L = 50, λ = 0.5			k_L = 50, λ = 1.5
		g_s = 10	g_s = 50	g_s = 100	g_s = 10	g_s = 50	g_s = 100
SS	Ω₁	17.3464	26.3758	34.4842	34.3159	39.653	45.4515
	Ω₂	46.9493	61.5091	75.8769	65.1907	76.3477	88.3341
SC	Ω₁	21.5364	30.1136	38.0430	37.2582	42.6778	48.5309
	Ω₂	56.5026	69.9870	83.7489	73.2330	84.0060	95.7134
SF	Ω₁	8.0257	7.0030	4.8888	24.7306	22.8481	19.1978
	Ω₂	22.8135	31.2448	39.1257	43.2468	48.6099	54.4463