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

Table 3

Frequency parameters for the rectangular plate of case 2 with restraining stiffness, , , for each point support.

	Method	Model sequence
		1	2	3	4	5	6	7	8
0	Present	0.5383	0.6459	1.4067	1.4669	2.1484	2.4072	2.4924	2.8472
	FEA	0.5396	0.6458	1.4062	1.4685	2.1514	2.4047	2.4948	2.8528
1	Present	0.5387	0.6462	1.4074	1.4677	2.1496	2.4085	2.4937	2.8488
	FEA	0.5388	0.6458	1.4062	1.4687	2.1512	2.4057	2.4948	2.8529
10^1	Present	0.5387	0.6462	1.4074	1.4677	2.1496	2.4085	2.4937	2.8488
	FEA	0.5401	0.6458	1.4067	1.4698	2.1521	2.4057	2.4949	2.8543
10^2	Present	0.5525	0.6462	1.4127	1.4794	2.1593	2.4085	2.4949	2.8633
	FEA	0.5515	0.6458	1.4111	1.4793	2.1599	2.4057	2.4960	2.8661
10^3	Present	0.6283	0.6462	1.4473	1.5438	2.2165	2.4085	2.5031	2.9408
	FEA	0.6045	0.6458	1.4320	1.5171	2.1908	2.4057	2.5019	2.9113
10^4	Present	0.6462	0.8315	1.5615	1.6646	2.3366	2.4085	2.5410	3.0559
	FEA	0.6458	0.8335	1.5597	1.6775	2.3375	2.4057	2.5351	3.0695
10^6	Present	0.6462	0.7899	0.9192	1.1024	1.6561	2.0563	2.4085	2.6004
10^8	Present	0.6462	0.8028	0.9396	1.1561	1.6957	2.0763	2.4085	2.7058
10^10	Present	0.6462	0.8043	0.9419	1.1624	1.7001	2.0786	2.4085	2.7180