A Dynamic Coefficient Matrix Method for the Free Vibration of Thin Rectangular Isotropic Plates

Table 1

Natural frequencies for a plate with one edge clamped and three edges free (C-F-F-F).

Mode Number	Natural Frequencies (Hz)
	Exact	DCM		Conventional FEM; 196 Elements
	[13]	(Present)	ANSYS	Error%	16-DOF	Error%	12-DOF	Error%
1	9.36	9.36	9.36	0.00	9.36	0.00	9.37	0.11
2	31.51	31.51	31.60	0.29	31.59	0.25	31.61	0.32
3	58.15	58.15	58.89	1.27	58.71	0.96	59.01	1.48
4	106.29	106.29	107.43	1.07	107.20	0.86	107.58	1.21
5	144.92	144.92	146.35	0.99	146.04	0.77	146.56	1.13