An Exact Series Solution for the Vibration of Mindlin Rectangular Plates with Elastically Restrained Edges

Table 5

The first seven frequency parameters Ω=(𝜔𝑏²/𝜋²)(𝜌ℎ/𝐷)^1/2 for C-S-S-F Mindlin rectangular plates.

𝑎/𝑏	ℎ/𝑏	Method	1	2	3	4	5	6	7
0.4	0.1	Present	7.9414	8.9713	11.137	14.4651	18.7651	20.4622	21.36
		[8]	7.9491	8.9792	11.1430	14.4679	18.7554	20.4646	21.3629
	0.2	Present	5.5943	6.3055	7.752	9.8284	12.295	12.6792	13.2365
		[8]	5.5972	6.3085	7.7544	9.8298	12.2958	12.6807	13.2381
1	0.1	Present	1.6196	2.9171	4.6617	5.7683	5.9723	8.5764	8.8548
		[8]	1.6281	2.9271	4.6650	5.7741	5.9769	8.5795	9.8555
	0.2	Present	1.4451	2.4997	3.7407	4.6356	4.677	6.4325	6.4907
		[8]	1.4476	2.5027	3.7419	4.6375	4.6787	6.4338	6.4910
2.5	0.1	Present	0.3658	0.9415	1.746	1.7792	2.3445	2.8701	3.217
		[8]	0.3832	0.9487	1.7596	1.7828	2.3543	2.8721	3.2233
	0.2	Present	0.3526	0.8834	1.6006	1.6092	2.0839	2.4914	2.7667
		[8]	0.3574	0.8854	1.6043	1.6102	2.0867	2.4919	2.7685