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

Table 6

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

	f1	f2	F 3	f4	f5	f6	f7	f8
FEA	435.72	966.47	1605.6	2084.4	2561.3	2843.2	3264	3589.4
11p	422.93	946.41	1564.6	2045.2	2478.2	2830.7	3207.2	3540.2
	−1.95%	−1.53%	−1.93%	−1.38%	−2.33%	−0.33%	−1.16%	−1.08%
15p	426.51	952.77	1578.8	2058.9	2506.7	2834.8	3223.9	3558.9
	−1.12%	−0.87%	−1.03%	−0.72%	−1.21%	−0.18%	−0.64%	−0.56%
19p	428.66	956.53	1586.5	2066.1	2521.1	2837.2	3233.3	3568.3
	−1.62%	−1.03%	−1.19%	−0.88%	−1.57%	−0.21%	−0.94%	−0.59%
23p	430.17	959.15	1591.6	2070.7	2530.5	2838.8	3239.8	3574.5
	−1.27%	−0.76%	−0.87%	−0.66%	−1.20%	−0.15%	−0.74%	−0.42%
27p	431.33	961.12	1595.3	2073.9	2537.3	2840	3244.7	3578.9
	−1.01%	−0.55%	−0.64%	−0.50%	−0.94%	−0.11%	−0.59%	−0.29%
31p	432.27	962.69	1598.2	2076.3	2542.5	2840.9	3248.5	3582.2
	−0.79%	−0.39%	−0.46%	−0.39%	−0.73%	−0.08%	−0.47%	−0.20%
35p	433.05	963.98	1600.4	2078.2	2546.6	2841.7	3251.7	3584.8
	−0.61%	−0.26%	−0.32%	−0.30%	−0.57%	−0.05%	−0.38%	−0.13%