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

Table 5

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

𝑎/𝑏	Circumferential wave number 𝑛
	0	1	2	3	4
0.2	2.2840	2.1033	2.5532	3.6888	4.7121
	(2.284)^a	(2.104)	(2.553)	(3.688)	(4.712)
	—	(2.106)^b	(2.556)	(3.693)	(4.718)
	—	(2.107)^c	(2.561)	(3.700)	(4.721)
0.4	2.4639	2.5169	2.7206	3.2142	3.9565
	(2.464)^a	(2.517)	(2.721)	(3.214)	(3.955)
	—	(2.522)^b	(2.734)	(3.219)	(3.960)
	—	(2.601)^c	(2.739)	(3.219)	(3.961)
0.6	3.0836	3.2604	3.6299	3.9422	4.2507
	(3.084)^a	(3.260)	(3.630)	(3.942)	(4.250)
0.8	5.2948	5.4017	5.7077	6.1738	6.7411
	(5.295)^a	(5.402)	(5.708)	(6.174)	(6.741)

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