Mobility Matrix of a Thin Circular Plate Carrying Concentrated Masses Based on Transverse Vibration Solution

Table 1

Comparison of fundamental frequency coefficients for a clamped circular plate with a concentrated mass at different positions ().

Position ratio	Mass ratio
	0.1	0.2	0.3	0.5	1.0	1.5	2.0
0.1
						(3.140)	(2.748)
	0.2
			(6.231)			(3.240)	(2.835)
0.3
	(8.517)	(7.354)	(6.531)	(5.453)	(4.098)	(3.418)	(2.992)
	0.4
(8.874)		(7.807)	(6.992)	(5.876)	(4.433)	(3.700)	(3.240)
0.5
			(7.655)			(4.138)
	0.6
(9.691)		(9.140)	(8.546)	(7.470)	(5.769)	(4.840)	(4.246)
0.7
	(9.970)	(9.757)	(9.489)	(8.811)	(7.151)	(6.059)	(5.334)
	0.8
(10.099)		(10.058)	(10.009)	(9.886)	(9.331)	(8.455)	(7.611)
0.9
	(10.132)	(10.130)	(10.127)	(10.121)	(10.106)	(10.088)	(10.065)