A Semianalytical Solution for In-Plane Vibration Analysis of Annular Panels with Arbitrary Distribution of Internal Point Constraints

Table 4

In-plane modal frequency of annular panel with the line constraint of Case I.

	f1	f2	f3	f4	f5	f6	f7	f8
FEA	280.72	660.09	1205.7	1797.7	2293.2	2608.5	2885.2	3095.2
11p	266.19	661.5	1200.7	1798.4	2227.4	2608.5	2886.3	3052.7
	5.18%	0.21%	0.41%	0.04%	2.87%	0.00%	0.04%	1.37%
15p	271.64	663.07	1204.8	1803.3	2251.9	2609	2886.5	3066.9
	3.23%	0.45%	0.08%	0.31%	1.80%	0.02%	0.05%	0.91%
19p	274.81	663.98	1207.2	1806.1	2265.4	2609.2	2886.7	3075.5
	2.11%	0.59%	0.13%	0.47%	1.21%	0.03%	0.05%	0.63%
23p	276.92	664.57	1208.9	1808	2274.1	2609.4	2886.8	3081.4
	1.35%	0.68%	0.27%	0.57%	0.83%	0.03%	0.06%	0.45%
27p	278.44	664.99	1210.2	1809.3	2280.2	2609.5	2886.9	3085.7
	0.81%	0.74%	0.37%	0.64%	0.57%	0.04%	0.06%	0.31%
31p	279.6	665.3	1211.1	1810.2	2284.7	2609.6	2887	3089
	0.40%	0.79%	0.45%	0.70%	0.37%	0.04%	0.06%	0.20%
35p	280.52	665.55	1211.9	1811	2288.2	2609.7	2887	3091.7
	0.07%	0.83%	0.52%	0.74%	0.22%	0.05%	0.06%	0.11%