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

Table 10

Frequency parameters, Ω=𝜔𝑏(𝜌(1−𝑣²)/𝐸)^1/2, for an annular plate with identical restraints at all edges: 𝐾=10⁹  N/m².

𝑎/𝑏	Circumferential wave number 𝑛
	0	1	2	3	4
0.2	2.1902	2.1652	2.5510	3.2580	3.9685
	(2.1913)^a	(2.1663)	(2.5518)	(3.2610)	(3.9743)
0.4	2.5972	2.6686	2.9584	3.4023	3.9728
	(2.6000)^a	(2.6912)	(2.9605)	(3.4065)	(3.9797)
0.6	3.4482	3.5532	3.7939	4.0784	4.4150
0.8	5.5242	5.5974	5.7866	6.0011	6.1803

aResults in parentheses are calculated using ABAQUS.