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

Table 3

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

𝑎/𝑏	Circumferential wave number 𝑛
	0	1	2	3	4
0.2	3.0892	1.6512	1.1100	2.0710	2.7671
	(3.090)^a	(1.652)	(1.110)	(2.071)	(2.767)
	—	(1.651)^b	(1.111)	(2.072)	(2.766)
	—	(1.661)^c	(1.120)	(2.074)	(2.768)
0.4	3.5295	1.6824	0.7214	1.6188	2.4832
	(3.530)^a	(1.683)	(0.721)	(1.618)	(2.482)
	—	(1.682)^b	(0.721)	(1.619)	(2.482)
	—	(1.700)^c	(0.727)	(1.623)	(2.485)
0.6	4.8673	1.6178	0.4182	1.0432	1.7528
	(4.867)^a	(1.618)	(0.418)	(1.043)	(1.752)
0.8	9.3802	1.4879	0.1784	0.4873	0.8935
	(9.380)^a	(1.488)	(0.178)	(0.487)	(0.892)

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