Vibration Analysis of Annular Sector Plates under Different Boundary Conditions

Table 2

Frequency parameters, Ω=𝜔𝑏²(𝜌ℎ/𝐷)^1/2, for an annular sector plate with radial edges simply supported (𝑎/𝑏=0.5,𝜙=𝜋/4, and 𝜇=0.3).

Circumferential edges	Source	Mode number
		1	2	3	4	5	6
Free	𝑀=𝑁=5	21.069	66.726	81.606	146.42	176.12	176.91
	𝑀=𝑁=7	21.067	66.723	81.604	146.41	176.12	176.90
	𝑀=𝑁=9	21.067	66.722	81.604	146.41	176.12	176.90
	𝑀=𝑁=11	21.067	66.722	81.604	146.41	176.12	176.90
	𝑀=𝑁=12	21.067	66.722	81.604	146.41	176.12	176.90
	Reference [22]	21.067	66.722	81.604	146.41	176.12	176.90
	Reference [30]	21.067	66.722	81.604	146.41	176.12	176.90
Simply supported	Present	68.379	150.98	189.60	278.39	283.59	387.62
	Reference [22]	68.379	150.98	189.60	278.39	283.59	387.62
	Reference [30]	68.379	150.98	189.60	278.39	283.59	387.64
Clamped	Present	107.56	178.82	269.48	305.84	346.44	476.29
	Reference [22]	107.57	178.82	269.49	305.84	346.46	476.30
	Reference [30]	107.58	178.82	269.49	305.84	346.46	476.30