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

Table 4

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

𝑎/𝑏	Circumferential wave number 𝑛
	0	1	2	3	4
0.2	0.3524	0.9194	1.5415	2.1569	2.7782
	(0.352)^a	(0.919)	(1.542)	(2.157)	(2.778)
	—	(0.940)^b	(1.561)	(2.166)	(2.779)
	—	(0.928)^c	(1.548)	(2.163)	(2.781)
0.4	0.8235	1.2811	1.9644	2.4451	2.9112
	(0.823)^a	(1.281)	(1.965)	(2.445)	(2.911)
	—	(1.296)^b	(1.982)	(2.463)	(2.924)
	—	(1.297)^c	(1.969)	(2.469)	(2.926)
0.6	1.6623	1.9519	2.6077	3.296	3.7228
	(1.662)^a	(1.952)	(2.608)	(3.294)	(3.722)
0.8	4.0377	4.1611	4.5102	5.0359	5.6841
	(4.038)^a	(4.161)	(4.510)	(5.036)	(5.684)

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