Vibration Analysis of Annular Sector Plates under Different Boundary Conditions

Table 1

Frequency parameters, Ω=𝜔𝑏²(𝜌ℎ/𝐷)^1/2, for a completely clamped annular sector plate (𝑎/𝑏=0.4,𝜙=𝜋/3, and 𝜇=0.33).

	Mode number
	1	2	3	4	5	6
𝑀=𝑁=5	85.267	150.14	194.29	243.66	266.21	358.17
𝑀=𝑁=6	85.253	150.13	194.27	243.61	266.20	358.07
𝑀=𝑁=7	85.257	150.10	194.23	243.61	266.07	358.05
𝑀=𝑁=8	85.251	150.10	194.23	243.59	266.07	358.03
𝑀=𝑁=9	85.251	150.10	194.22	243.59	266.05	358.03
𝑀=𝑁=10	85.250	150.10	194.22	243.59	266.05	358.03
𝑀=𝑁=11	85.250	150.10	194.22	243.59	266.04	358.02
𝑀=𝑁=12	85.250	150.10	194.22	243.59	266.04	358.02
FEM	85.230	150.08	194.29	243.69	265.92	358.56
Reference [22]	85.250	150.10	194.22	243.59	266.04	—