Vibration Analysis of Annular Sector Plates under Different Boundary Conditions

Table 3

Frequency parameters, Ω=𝜔𝑏²(𝜌ℎ/𝐷)^1/2, for completely free annular sector plates (𝑎/𝑏=0.4 and 𝜇=0.3).

𝜙	Source	Mode number
		1	2	3	4	5	6
𝜋/6	Present	61.515	67.249	113.97	149.51	171.91	244.95
	FEM	61.516	67.230	113.97	149.46	171.94	244.92
𝜋/2	Present	15.647	23.576	38.428	53.649	63.390	70.739
	FEM	15.646	23.572	38.425	53.645	63.389	70.740
2𝜋/3	Present	10.148	16.348	24.588	35.673	44.649	59.663
	FEM	10.148	16.345	24.584	35.672	44.645	59.663
𝜋	Present	7.0437	7.6871	15.378	17.404	28.449	28.559
	FEM	7.0435	7.6858	15.374	17.404	28.445	28.558
7𝜋/6	Present	5.4291	6.4773	13.094	13.136	21.512	24.262
	FEM	5.4281	6.4769	13.093	13.131	21.511	24.258
3𝜋/2	Present	2.8863	5.2324	8.8762	9.7849	14.001	17.608
	FEM	2.8858	5.2320	8.8759	9.7822	13.999	17.606
16𝜋/9	Present	1.8048	3.8657	7.3593	7.7069	11.229	13.075
	FEM	1.8044	3.8653	7.3581	7.7066	11.227	13.074
2𝜋	Present	1.2956	2.9318	5.7558	7.1511	9.9277	10.581
	FEM	1.2963	2.9334	5.7582	7.1519	9.9283	10.584