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

Table 4

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

𝑎/𝑏	ℎ/𝑏	Method	1	2	3	4	5	6	7
0.4	0.1	Present	7.8209	8.2262	9.6485	12.1337	15.6899	20.1409	20.358
		[8]	7.8285	8.2339	9.6566	12.1373	15.6917	20.1394	20.3607
	0.2	Present	5.5099	5.7895	6.7405	8.3478	10.4967	12.6125	12.8205
		[8]	5.5128	5.7926	6.7436	8.3495	10.4978	12.6141	12.8219
1	0.1	Present	1.4735	1.9497	3.6462	4.502	5.0407	6.7828	6.8161
		[7]	1.4738	1.9536	3.6499	4.5031	5.0483	6.7909	—
	0.2	Present	1.3254	1.7019	3.0527	3.6262	4.0033	5.2067	5.3485
		[7]	1.3255	1.7030	3.0534	3.6265	4.0054	5.2084	—
2.5	0.1	Present	0.2413	0.5789	0.776	1.2825	1.5996	2.1811	2.4288
		[7]	0.2413	0.5817	0.7761	1.2859	1.5995	2.1852	—
	0.2	Present	0.2362	0.5402	0.7365	1.1704	1.4595	1.9285	2.1794
		[7]	0.2362	0.5409	0.7366	1.1714	1.4594	1.9300	—