Vibration Analysis of Annular Sector Plates under Different Boundary Conditions

Table 6

Frequency parameters, Ω=𝜔𝑏²(𝜌ℎ/𝐷)^1/2, for simply supported annular sector plates with uniform rotational restraint along each edge (𝑎/𝑏=0.4,𝜙=2𝜋/3, and 𝜇=0.3).

𝐾(Nm/rad)	Source	Mode number
		1	2	3	4	5	6
10^0	Present	32.618	46.318	68.813	98.903	115.80	131.64
	FEM	32.578	46.212	68.677	98.751	115.82	131.52
10^4	Present	41.395	54.245	76.164	106.05	125.56	141.73
	FEM	41.329	54.148	76.060	105.99	126.75	141.82
10^8	Present	65.688	78.383	101.29	133.72	173.81	175.66
	FEM	65.762	78.429	101.34	133.83	174.11	176.29
10^12	Present	65.698	78.394	101.30	133.74	173.83	175.69
	FEM	65.772	78.439	101.34	133.85	174.13	176.32