Vibration Analysis of Annular Sector Plates under Different Boundary Conditions

Table 8

Frequency parameters, Ω=𝜔𝑏²(𝜌ℎ/𝐷)^1/2, for annular sector plates with elastic restraint at all four edges: 𝑘=10⁵ N/m and 𝐾=10⁷ Nm/rad (𝜙=16𝜋/9 and 𝜇=0.3).

𝑎/𝑏	Source	Mode number
		1	2	3	4	5	6
0.2	Present	10.268	11.702	13.324	15.209	17.664	21.015
	FEM	10.251	11.684	13.311	15.209	17.678	21.038
0.4	Present	11.884	12.593	13.802	15.471	17.763	20.988
	FEM	11.862	12.575	13.795	15.477	17.780	21.009
0.6	Present	14.586	14.934	15.663	16.794	18.413	20.849
	FEM	14.557	14.908	15.650	16.802	18.441	20.884