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

Table 2

The first seven frequency parameters Ω=(𝜔𝑎²)(𝜌ℎ/𝐷)^1/2 for S-F-S-F Mindlin rectangular plates.

𝑎/𝑏	ℎ/𝑎	Method	1	2	3	4	5	6	7
0.4	0.1	Present	9.5829	10.7868	14.5793	20.7593	29.3643	36.7449	37.8085
		[9]	9.5814	10.7809	14.5672	20.7245	29.3338	36.736	37.7879
	0.2	Present	9.1316	10.1983	13.5314	18.7785	25.8073	31.7024	32.4788
		[9]	9.1313	10.1968	13.5287	18.7728	25.8016	31.7000	32.4730
1	0.1	Present	9.4461	15.4109	33.9251	36.4266	42.8986	62.3508	66.3889
		[9]	9.4458	15.4054	33.9160	36.4246	42.8870	62.3304	66.3720
	0.2	Present	8.9997	14.1349	29.2566	31.434	36.1663	49.8976	52.8026
		[9]	8.9997	14.1341	29.2558	31.4338	36.1646	49.8953	52.8012
2.5	0.1	Present	9.3065	29.6407	35.8486	64.0871	75.9262	105.417	125.3433
		[9]	9.3065	29.6389	35.8486	64.0850	75.9234	105.4121	125.3334
	0.2	Present	8.8835	24.2058	30.9976	49.7612	59.4412	77.0664	90.361
		[9]	8.8835	24.2054	30.9976	49.7609	59.4404	77.0654	90.3658