Vibration Analysis of Annular Sector Plates under Different Boundary Conditions

Table 7

Frequency parameters, Ω=𝜔𝑏²(𝜌ℎ/𝐷)^1/2, for an FCFF annular sector plate with identical elastic restraint at “free” edges (𝑎/𝑏=0.4,𝜙=𝜋, and 𝜇=0.3).

𝐾 (Nm/rad)	Source	Mode number
		1	2	3	4	5	6
10^0	Present	4.4992	5.9227	9.6841	12.490	18.444	24.601
	FEM	4.4898	5.9352	9.6797	12.491	18.448	24.576
10^4	Present	4.6998	7.3625	12.924	20.819	21.912	30.652
	FEM	4.6961	7.3665	12.926	20.801	21.938	30.630
10^8	Present	4.7531	8.4457	15.344	24.898	30.587	36.816
	FEM	4.7507	8.4435	15.345	24.909	30.605	36.842
10^12	Present	4.7531	8.4460	15.345	24.899	30.589	36.817
	FEM	4.7508	8.4435	15.346	24.909	30.606	36.842