In-Plane Vibration Analysis of Annular Plates with Arbitrary Boundary Conditions

Table 1

Frequency parameters, Ω=𝜔𝑏(𝜌(1−𝑣²)/𝐸)^1/2, for C-C annular plates with various cutout ratios.

𝑎/𝑏	Circumferential wave number 𝑛
	0	1	2	3	4
0.2	2.5059	2.7833	3.3778	4.0655	4.8010
	(2.506)^a	(2.783)	(3.378)	(4.066)	(4.802)
	—	(2.806)^b	(3.394)	(4.084)	(4.811)
	—	(2.886)^c	(3.483)	(4.119)	(4.916)
0.4	3.1895	3.4292	4.0224	4.7068	5.2871
	(3.189)^a	(3.429)	(4.023)	(4.707)	(5.287)
	—	(3.456)^b	(4.046)	(4.737)	(5.360)
	—	(3.532)^c	(4.130)	(4.766)	(5.470)
0.6	4.6915	4.8345	5.2365	5.8319	6.5414
	(4.692)^a	(4.835)	(5.237)	(5.832)	(6.541)
	—	(4.939)^c	(5.339)	(5.893)	(6.650)
0.8	9.3104	9.3702	9.5473	9.8349	10.223
	(9.310)^a	(9.370)	(9.547)	(9.835)	(10.223)
	—	(9.476)^c	(9.658)	(9.898)	(10.432)

aResults in parentheses are taken from [12].
^bResults in parentheses are taken from [15].
^cResults in parentheses are taken from [16].