A Series Solution for the Vibration of Mindlin Rectangular Plates with Elastic Point Supports around the Edges

Table 4

Frequency parameters for the restraining stiffness point support plate with different geometry parameters, , , for each point support.

			Model sequence
			1	2	3	4	5	6	7	8
10^2			1.2890	1.9514	2.3730	3.2405	3.2405	5.6196	5.6196	5.6683
			1.1847	1.7660	2.1468	2.7913	2.7913	4.5648	4.5766	4.5766
			0.5522	0.6459	1.4120	1.4786	2.1582	2.4072	2.4936	2.8618
			0.5257	0.6078	1.2908	1.3669	1.9617	2.1320	2.2271	2.5177
			0.4743	0.5256	0.7779	0.8091	1.1345	1.1556	1.4961	1.6006
			0.4572	0.4914	0.7426	0.7581	1.0495	1.0856	1.3696	1.4769
10^4			1.2890	2.4948	2.4988	3.3720	3.3720	5.8218	5.8218	6.0670
			1.1847	1.9651	2.1982	2.8358	2.8358	4.6511	4.6511	4.7226
			0.6459	0.8311	1.5607	1.6637	2.3354	2.4072	2.5397	3.0544
			0.6078	0.6183	1.3357	1.4389	2.0232	2.1320	2.2380	2.6037
			0.3967	0.6293	0.6891	0.8091	0.8794	1.2422	1.2678	1.4961
			0.2805	0.5012	0.5478	0.7581	0.7766	1.0786	1.1222	1.3696
10^6			1.2890	1.7336	1.7336	1.9936	2.5169	4.7623	4.7623	5.6910
			1.1585	1.1763	1.1763	1.1847	2.2452	3.2096	3.3393	3.3393
			0.6459	0.7895	0.9188	1.1018	1.6552	2.0553	2.4072	2.5990
			0.6078	0.6419	0.7129	0.7410	1.2653	1.7296	1.8630	2.1320
			0.1945	0.2536	0.2787	0.2843	0.6492	0.7673	0.8091	0.8821
			0.1807	0.2407	0.2524	0.2540	0.5723	0.6156	0.7581	0.7802